Thursday

May 5, 2016
Number of results: 63,187

**Calculus**

An open box is formed from a piece of cardboard 12 inches square by cutting equal squares out of the corners and turning up the sides, find the dimensions of the largest box that can be made in this way.
*April 28, 2016 by Alexa*

**Math**

Suppose you take a piece of cardboard measuring 7 inches by 7 inches, cut out square corners with sides x inches long, and then fold up the cardboard to make an open box. Express the volume V of the box as a function of x.
*June 23, 2009 by Jamie*

**Math**

Suppose you take a piece of cardboard measuring 7 inches by 7 inches, cut out square corners with sides x inches long, and then fold up the cardboard to make an open box. Express the volume V of the box as a function of x.
*June 25, 2009 by Jacinta*

**Algebra **

A box with no top is to be constructed from a piece of cardboard whose length measures 6 inch more than its width. The box is to be formed by cutting squares that measure 2 inches on each side from the four corners an then folding up the sides. If the volume of the box will be...
*April 5, 2013 by T H*

**Calculus**

A box with an open top is to be made from a square piece of cardboard by cutting equal squares from the corners and turning up the sides. If the piece of cardboard measures 12 cm on the side, find the size of the squares that must be cut out to yield the maximum volume of the ...
*March 8, 2012 by Candy*

**Algebra 2**

A box with no top is to be constructed from a piece of cardboard whose length measures 12 inches more than its width. the box is formed by cutting squares that measures 4 inches on each sides from 4 corners and then folding up the sides. If the volume of the box will be 340 ...
*March 15, 2013 by April*

**Calculas**

an open box is to be made from a square piece of cardboard whose sides are 19 inches long,by cutting squares of equal size from the corners and bending up the sides. Determine the size of the aquare that is to be cut out so that the volume may be a maximum.
*December 7, 2014 by jessica*

**pre-calc**

A box with an open top is to be constructed by cutting equal-sized squares out of the corners of a 18 inch by 30 inch piece of cardboard and folding up the sides. a) Let w be the length of the sides of the cut out squares. Determine a function V that describes the volume of ...
*February 8, 2015 by moshie*

**Calculus**

an open box is made by cutting out squares from the corners of a rectangular piece of cardboard and then turning up the sides. If the piece of cardboard is 12 cm by 24 cm, what are the dimensions of the box that has the largest volume made in this way?
*July 18, 2011 by Andrew*

**Math**

The length of a piece of cardboard is two inches more than its width. an open box is formed by cutting out 4 inch squares from each corner and folding the sides. If the volume of the box is 672 cubic inches, find the dimensions.
*September 6, 2013 by Khelany*

**algebra 2**

you can make an open box from a piece of flat cardboard. First cut congruent squares from the four corners of the cardboard. Then fold and tape the sides. let x equal the side of each congruent squares as x increases so does the depth of the box the useable area of the ...
*October 29, 2011 by herry*

**Engineering**

A box with an open top is to be made from a square piece of cardboard by cutting equal squares from the corners and turning up the sides. If the piece of cardboard measures 12 in on the side, find the size of the squares that must be cut out to yield the maximum volume of the ...
*September 6, 2014 by Trisha*

**math**

a box is to be made by cutting out the corners of a square piece of cardboard and folding the edges up. if 3-inch squares are to be cut out of the corners and the box contains 243 cubic inches, what is the length of a side of the original cardboard square
*May 13, 2015 by karen*

**calc**

an open box is to be made from a 4 ft by 5 ft piece of cardboard by cutting out squares of equals sizes with width x ft from the four corners and bending up the flaps to form sides.express the volume of the open box as a function of x what is the domain of the function
*August 26, 2011 by natasha*

**Calculus**

A square sheet of cardboard with a side 16 inches is used to make an open box by cutting squares of equal size from the four corners and folding up the sides. What size squares should be cut from the corners to obtain a box with largest possible volume?
*January 30, 2013 by Fall*

**calculus**

An open box is to be made from a flat piece of material 18 inches long and 5 inches wide by cutting equal squares of length xfrom the corners and folding up the sides. Write the volume Vof the box as a function of x. Leave it as a product of factors, do not multiply out the ...
*April 14, 2010 by Julie*

**Math**

An open box is to be made from a 11 inch by 11 inch piece of cardboad. this box is constructed by cutting squares that measure x inches on each side from the corners of the cardboard and turning up the sides. Use a graphical calculator to find the height of the box that yields...
*December 13, 2012 by Des*

**math**

An open box is to be made from a flat piece of material 8 inches long and 2 inches wide by cutting equal squares of length x from the corners and folding up the sides. Write the volume V of the box as a function of x. Leave it as a product of factors, do not multiply out the ...
*January 24, 2014 by MATH ASSIGN HELP*

**math**

What is the maximum volume in cubic inches of an open box to be made from a 12-inch by 16-inch piece of cardboard by cutting out squares of equal sides from the four corners and bending up the sides? Your work must include a statement of the function and its derivative. Give ...
*May 4, 2015 by Anonymous*

**Calculus**

What is the maximum volume in cubic inches of an open box to be made from a 16-inch by 30-inch piece of cardboard by cutting out squares of equal sides from the four corners and bending up the sides? Your work must include a statement of the function and its derivative. Give ...
*January 8, 2016 by Mel*

**math**

An open box is to be made from a flat piece of material 18 inches long and 2 inches wide by cutting equal squares of length xfrom the corners and folding up the sides. Write the volume Vof the box as a function of x. Leave it as a product of factors, do not multiply out the ...
*August 11, 2010 by Jin*

**Math**

An open box is to be made from a flat piece of material 9 inches long and 6 inches wide by cutting equal squares of length x from the corners and folding up the sides. Write the volume Vof the box as a function of x. Leave it as a product of factors, do not multiply out the ...
*January 22, 2015 by Dan*

**calculus**

An open box is to be made out of a 10-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. Find the dimensions of the resulting box that has the largest volume.
*November 30, 2015 by javy*

**MATH**

Hi, Please help me find: V, a, and b. Ty An open box is to be made from a flat piece of material 8 inches long and 2 inches wide by cutting equal squares of length x from the corners and folding up the sides. Write the volume V of the box as a function of x. Leave it as a ...
*January 24, 2014 by MATH PLEASE HELP*

**Math**

A cardboard manufacturer wishes to make open boxes from square pieces of cardboard of side 12 in. by cutting equal squares from the four corners and turning up the sides. Let x inches be the length of the side of the the square to be cut out. Express the Volume (V) of the box...
*September 29, 2012 by Kamille*

**calculus**

An open box is to be made out of a 8-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. Find the dimensions of the resulting box that has the largest volume. Dimensions of the bottom of the box: Height of the...
*April 20, 2012 by casidhe*

**math**

A box with no top is to be constructed from a piece of cardboard whose width measures x cm and whose length measures 6 cm more than its width. The box is to be formed by cutting squares that measure 2 cm on each side from the four corners, and then folding up the sides. If the...
*May 12, 2012 by amanda*

**Calc**

An open box is to be made out of a 10-inch by 16-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. Find the dimensions of the resulting box that has the largest volume. Dimensions of the bottom of the box:
*November 16, 2015 by David*

**Math**

a rectangular piece of cardboard is twice as long as it is wide . from each of its for corners, a square piece 3 inches on a side cut out. the flaps at each corner are then turned up to form an open box. if the volume of the box is 168 cubic inches, what were the original ...
*August 26, 2015 by Anonymous *

**Algebra**

A rectangular box is to be made from a piece of cardboard 6 cm wide and 14 cm long by cutting out squares of the same size from the four corners and turning up the sides. If the volume of the box is to be 40 cm^3, what should the length of the side of the square to be cut out be?
*November 25, 2015 by Arnee*

**math**

An open topped box can be created by cutting congruent squares from each of the 4 corners of a piece of cardboard that has dimensions of 20cm by 30cm and folding up the sides. Determine the dimensions of the squares that must be cut to create a box with a volume of 1008cm^3
*October 7, 2012 by Melissa*

**Pre Calculus**

A piece of cardboard measuring 13 inches by 11 inches is formed into an open-top box by cutting squares with side length x from each corner and folding up the sides. a. Find a formula for the volume of the box in terms of x b. Find the value for x that will maximize the volume...
*April 29, 2016 by Joey*

**calculus optimization problem**

by cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. if the cardboard is 30 inches long and 14 inches wide find the dimensions of the box that will yield the maximum volume.
*April 3, 2013 by sasha*

**calc**

by cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, the cardboard may be turned into an open box. if the cardboard is 16 inches long and 10 inches wide, find the dimensions of the box that will yield the ...
*July 19, 2012 by Jemima*

**Calculus**

A SHEET OF CARDBOARD 180 INCHES SQUARE IS USED to make an open box by cutting squares of equal size from the corners and folding up the sides, what size squares should be cut to obtain a box with the largest possible volume?
*October 19, 2010 by Oswaldo*

**Geometry**

A square piece of cardboard, 24 inches by 24 inches, is to be made into an open box by cutting out each of the four corners. Each side of the box will then be folded up. Find the maximum volume that the box can hold.
*November 13, 2014 by Tom*

**calculus**

Help!!! A rectangle piece of cardboard twice as long as wide is to be made into an open box by cutting 2 in. squares from each corner and bending up the sides. (a) Express the volume V of the box as a function of the width W of the piece of cardboard (b) find the domain of the...
*January 21, 2011 by Hector*

**math**

you want to make an open-topped box from a 20 cm by 20 cm piece of cardboard by cutting out equal squares from the corners and folding up the flaps to make the sides. what are the dimensions of each square, to the nearest hundredth of a cm, so that the volume of the resulting ...
*March 15, 2008 by Sami*

**calculus**

An open box is to be made from a square piece of cardboard, 32 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below). Determine the function, V, in terms of x, that represents the volume of the box. A. -...
*September 19, 2010 by BJ*

**PRE-CALCULUS**

AN OPEN BOX IS FORMED BY CUTTING SQUARES OUT OF A PIECE OF CARDBOARD THAT IS 16 FT BY 19 FT AND FOLDING UP THE FLAPS. WHAT SIZE CORNER SQUARES SHOULD BE CUT TO YEILD A BOX THAT HAS A VOLUME OF 175 CUBIC FEET
*September 6, 2009 by ASHLEY*

**Math**

An open-topped box can be created by cutting congruent squares from each of the four corners of a piece of cardboard that has dimensions of 20cm by 30cm and folding up the sides. Determine the dimensions of the squares that must be cut to create a box with a volume of 1008cm^3...
*January 11, 2013 by Cadmus*

**calculus**

You are planning to make an open-top box from an 12 in by 12 in piece of cardboard by cutting congruent squares from the corners and folding up the sides. What are the dimensions (of the 3 sides) of the largest volume you can make this way?
*May 19, 2009 by jim*

**algebra**

Volume of a Box A box is constructed by cutting out square corners of a rectangular piece of cardboard and folding up the sides. If the cutout corners have sides with length x, then the volume of the box is given by the polynomial A box is constructed from a square piece of ...
*August 13, 2011 by mich*

**Math**

A box with a rectangular base and no top is to be made from a 9 inch by 12 inch piece of cardboard by cutting squares out of the corners and folding up the sides. What size (side-length) squares should be cut out to make the box have as much volume as possible?
*October 29, 2015 by Jamie*

**math.....need help**

Solve the problem. An open box is to be made from a rectangular piece of tin by cutting two inch squares out of the corners and folding up the sides. The volume of the box will be 100 cubic inches. Find the dimensions of the rectangular piece of tin.
*March 21, 2009 by marcus*

**College Math**

An open-topped rectangular box is to be constructed from a 24 inch by 36 inch piece of cardboard by cutting out squares of equal sides from the corners and then folding up the sides. What size squares should be cut out of each of the corners in order to maximize the volume of ...
*March 20, 2015 by Dan*

**math**

A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with dimensions 40 cm by 60 cm by cutting equal squares from the four corners and turning up the sides. Find the length of the side of the cut-out square so that the box has the largest...
*July 25, 2011 by Jeffrey*

**calculus**

7. A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with dimensions 40 cm by 60 cm by cutting equal squares from the four corners and turning up the sides. Find the length of the side of the cut-out square so that the box has the ...
*July 30, 2011 by Jeff*

**calculus**

an open box is to be made from a piece of metal 16 by 30 inches by cutting out squares of equal size from the corners and bending up the sides. what size should be cut out to create a box with the greatest volume? what is the maximum volume?
*November 18, 2011 by lulu*

**College Algebra**

a box with an open top is constructed from a rectangular piece of cardboard with dimensions 14 inches by 18 inches by cutting out and discarding equal squares of side x at each corner and then folding up the sides as in the figure. The cost to create such a box is 2.50 per ...
*March 17, 2013 by John*

**calculus**

An Open Box Of Maximum Volume Is To Be Made From A Square Piece Of Cardboard Twentyfour Inches On Each Side By Cutting Equal Suares Frm The Corners And Turning Up The Sides
*September 16, 2012 by ciara*

**math**

a piece of cardboard is twice as it is wide. It is to be made into a box with an open top by cutting 2-in squares from each corner and folding up the sides. Let x represent the width (in inches) of the original piece of cardboard. a.Represent the length of the original piece ...
*February 15, 2011 by Amy*

**math**

A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions W inches by L inches by cutting out equal squares of side x at each corner and then folding up the sides. (W = 12 in. and L = 20 in). Find the values of x for which the volume is ...
*February 9, 2013 by tom*

**Math**

A box with an open top is to be made by cutting 5-inch squares from the corners of a rectangular piece of cardboard whose length is twice its width and then folding up the remaining flaps. Let x represent the width of the original piece of cardboard; express the volume (V) of ...
*July 8, 2013 by Delilah*

**calculus**

an open rectangular box is to be made from a piece of cardboard 8 inches wide and 8 inches long by cutting a square from each corner and bending up the sides. a. express the volume of the box as a function of the size x cutout
*September 7, 2010 by ashley*

**calculus**

a rectangular piece of cardboard that measures 4 by 3 inches is to be formed into a rectangular box by cutting squares with length x from each corner and folding up sides. Find the volumes of the box in terms of x
*October 16, 2009 by Amber*

**calculus**

An open box of maximum volume is to be made from a square piece of cardboard, 24 inches on each side, by cutting equal squares from the corners and turning up the sides to make the box. (a) Express the volume V of the box as a function of x, where x is edge length of the ...
*March 27, 2011 by Anonymous*

**Calc**

A cardboard box manufacturer makes open boxes from rectangular pieces of cardboard of size 30cm by 40cm by cutting squares from the four corners and turning up the sides. A) find a mathematical model expressing the volume of the box as a function of the length of the side of ...
*September 25, 2013 by steph*

**Calculus**

An open box is made by cutting squares of side w inches from the four corners of a sheet of cardboard that is 24" x 32" and then folding up the sides. What should w be to maximize volume of the box? I started by trying to get a formula for the volume which I thought was (24x32...
*October 16, 2015 by Matt*

**algebra**

Open-top box. Thomas is going to make an open-top box by cutting equal squares from the four corners of an 11 inch by 14 inch sheet of cardboard and folding up the sides. If the area of the base is to be 80 square inches, then what size square should be cut from each corner?
*October 8, 2009 by genevive*

**math**

open top rectangular box made from 35 x 35 inch piece of sheet metal by cutting out equal size squares from the corners and folding up the sides. what size squares should be removed to produce box with maximum volume.
*October 10, 2011 by Sejul*

**Math**

An open box is to be made from a 10-ft by 14-ft rectangular piece of sheet metal by cutting out squares of equal size from the four corners and folding up the sides. what size squares should be cut to obtain a box with largest possible volume?
*December 7, 2011 by NONO*

**Math Wrod Problem**

1. A long strip of copper 8 inches wide is to be made into a rain gutter by turning up the sides to form a trough with a rectangular cross section. Find the dimentions of the cross-section if the carrying capacity of the trough is to be a maximum. 2. A sheet of cardboard 18 in...
*August 6, 2008 by Nahel*

**Math**

A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12 in by 12 in by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x.
*September 10, 2012 by KC*

**Calculus 1**

A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 18 in. by 30 in. by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x.
*August 18, 2015 by TayB*

**optimal dimensions**

Applications of derivatives You are planning to make an open rectangular box from an 8 by 15 inch piece of cardboard by cutting congruent squares from the corners and folding up the sides. what are the dimensions of the box of largest volume you can make this way, and what is ...
*November 18, 2006 by Jen*

**math grade 12**

A open-topped box can be created by cutting congruent squares from each of the four corners of a piece of cardboard that has dimensions of 20cm by 30cm and folding up the sides. Derermine the dimensions of the square that must be cut to create a box with a volume of 100cm3. ...
*October 27, 2012 by karen*

**Calculus AB**

What is the maximum volume in cubic inches of an open box to be made from a 16-inch by 30-inch piece of cardboard by cutting out squares of equal sides from the four corners and bending up the sides? Your work must include a statement of the function and its derivative. Give ...
*January 11, 2016 by Vikram*

**math**

Vanilla Box Company is going to make open-topped boxes out of 17 × 13-inch rectangles of cardboard by cutting squares out of the corners and folding up the sides. What is the largest volume box it can make this way? (Round your answer to one decimal place.)
*March 30, 2015 by steph*

**Calc**

a box with an open top is to be made from a rectangular piece of tin by cutting equal squares from the corners and turning up the sides. The piece of tin measures 1mx2m. Find the size of the squares that yields a maximum capacity for the box. So far i have V=(1-2x)(2-2x)x
*September 27, 2012 by Kieran *

**calculus**

An open box is to be made from a 21 ft by 56 ft rectangular piece of sheet metal by cutting out squares of equal size from the four corners and bending up the sides. Find the maximum volume that the box can have.
*July 31, 2010 by Mely*

**algebra**

rectangular open-topped box is made from a 9 x 16 piece of cardboard by cutting x-inch squares out of each corner and folding up the sides. What size square should be cut out to produce a volume of 120 cubic inches?? I set it up with 120 = (16-2x)(9-2x)(x) I get to y = 2x^3 - ...
*October 16, 2011 by Anil*

**Algebra**

Given a 10 cm by 20 cm piece of paper, if you cut out four equal squares from the corners and fold up the resulting sides you will create an open box. Write an expression for the volume of this box in terms of the side length of each cut‐out square, x.
*May 4, 2015 by Reza*

**functions**

Given a 10 cm by 20 cm piece of paper, if you cut out four equal squares from the corners and fold up the resulting sides you will create an open box. Write an expression for the volume of this box in terms of the side length of each cut‐out square, x.
*May 5, 2015 by RRR*

**college algebra**

An open box is made from a square piece of cardboard 20 inches on a side by cutting identical squares from the corners and turning up the sides.(a) Express the volume of the box, V , as a function of the length of the side of the square cut from each corner, x. (b) Find and ...
*September 27, 2012 by danny*

**Pre-Calc**

A box is formed by cutting squares out of the corners of a flat piece of metal, and folding the sides up. What size cuts should I make to a 14in. by 20in. piece to get a volume of 270in cubed?
*December 4, 2012 by YKWCH*

**Calculus**

Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 3 ft by 4 ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the largest box that can be formed in this way. b) Suppose that in...
*November 5, 2015 by Michelle*

**AFM (MATH)**

a) Write an equation to represent the volume of an open box constructed by cutting congruent squares from the corners of a 24" by 14" piece of cardboard. b) What is the domain of this model?
*June 24, 2012 by Sam*

**Calculus**

An open top box is made by cutting congruent squares from the corners of a 12 inch by 9 inch sheet of cardboard and then folding the sides up to create the box. What are the dimensions of the box which contains the largest volume?
*September 9, 2012 by Chris*

**math**

An open box is made from a rectangular piece of cardboard, with dimensions of 24 cm by 30 cm, by cutting congruent squares from each corner and folding up the sides. Determine the dimensions of the squares to be cut to create a box with a volume of 1040 cm ^3
*October 6, 2012 by Melissa*

**Precalculus**

From a rectangular piece of cardboard having dimensions a × b, where a = 40 inches and b = 70 inches, an open box is to be made by cutting out an identical square of area x2 from each corner and turning up the sides (see the figure). Express the volume V of the box in terms of...
*March 7, 2012 by Jim*

**precalculus**

a rectangular piece of cardboard measuring 14 inches by 27 inches is to be made into a box with an open top by cutting squares of equal size from each corner and golding up the sides . let x represent the length of a side of each square. for what value of x will the volume be ...
*April 29, 2012 by kim*

**math**

a tray with a square base is to be made from a square piece of cardboard by cutting 5 inch squares from each corner and folding up the sides. If the box is to hold a volume 520 cubic inches, find the length of the piece of cardboard that is needed.
*March 11, 2015 by Noel*

**Math - Business Calc. **

Chocolate Box Company is going to make open-topped boxes out of 5 × 17-inch rectangles of cardboard by cutting squares out of the corners and folding up the sides. What is the largest volume box it can make this way? (Round your answer to the nearest tenth.) Thank You for the ...
*June 4, 2014 by Jerry*

**Calculus**

Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 3 ft by 4 ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the largest box that can be formed in this way.
*November 4, 2012 by Allison*

**math**

An open-topped box is made from a rectangular piece of cardboard, with dimensions of 24 cm by 30 cm, by cutting congruent squares from each corner and folding up the sides. Determine the dimensions of the squares to be cut to create a box with a volume of 1040cm^3. What ...
*December 15, 2011 by Melinda*

**college algebra word problem**

An open box is made from a square piece of material 24 inches on a side by cutting equal squares from the corners and turning up the sides. Write the Volume V of the box as a function of x. Recall that Volume is the product of length, width, and height. Thank you!
*October 24, 2008 by jenny*

**math**

a rectangular sheet of cardboard 4m by 2m is used to make an open box by cutting squares of equal size from the four corners and folding up the sides.what size squares should be cut to obtain the largest possible volume?
*December 22, 2011 by ct*

**math**

Reza is helping En Shah to make a box without the top.The box is made by cutting away four squares from the corners of a 30cm square piece of cardboard as shown in Figure 1 and bending up the resulting cardboard to form the walls of the box.
*June 8, 2015 by mt*

**Mathematics**

An open box is made from a square piece of sheet metal 19 inches on a side by cutting identical squares from the corners and turning up the sides. Express the volume of the box, V, as a function of the length of the side of the square cut from each corner, x. A. V(x) = 361x B...
*December 3, 2015 by sexana*

**Math--Please Help**

A pizza box with a square base is to be made from a rectangular sheet of cardboard by cutting six 1-inch squares from the corners and the middle sections folding up the sides. If the area of the base is to be 144 in^2, what size piece of cardboard should be used.
*January 13, 2013 by Barb*

**Algebra**

You have to make a square-bottomed, unlidded box with a height of three inches and a volume of approximately 42 cubic inches. You will be taking a piece of cardboard, cutting three-inch squares from each corner, scoring between the corners, and folding up the edges. What ...
*April 9, 2014 by Willis*

**calculus**

Take an 8.5 by 14-inch piece of paper and cut out four equal squares from the corners. Fold up the sides to create an open box. Find the dimensions of the box that has maximum volume. (Enter your answers as a comma-separated list. Round your answer to three decimal places.)
*April 20, 2012 by Anonymous*

**math**

Take an 17 by 11-inch piece of paper and cut out four equal squares from the corners. Fold up the sides to create an open box. Find the dimensions of the box that has maximum volume. (Enter your answers as a comma-separated list. Round your answer to three decimal places.)
*April 21, 2013 by emily *

**pre-calc please help!!**

an open box with a volume of 1500cm cubed is to be constructed by taking a piece of cardboard of 20 cm by 40 cm, cutting squares of sides length x cm from each corner and folding up the sides. show that this can be done in two ways, and find exact dimensions of the box in each...
*November 10, 2011 by steph*

**calculus**

By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. If the cardboard is 14 in. long and 6 in. wide, find the dimensions of the box that will yield the maximum volume. (Round your ...
*March 16, 2013 by eve*

**math**

A pizza box with a square base is to be made from a rectangular sheet of cardboard by cutting six 1-inch squares from the corners and the middle sections and folding up the sides (see the figure). If the area of the base is to be 400 in^2, what size piece of cardboard should ...
*September 19, 2014 by Sue*

**Math**

Chocolate Box Company is going to make open-topped boxes out of 3 × 11-inch rectangles of cardboard by cutting squares out of the corners and folding up the sides. What is the largest volume box it can make this way? (Round your answer to one decimal place.) My work (11-2x)(3-...
*October 19, 2015 by Nathan*

**Calc**

You want to make a rectangular box, open at the top, by cutting the same size square corners out of a rectangular sheet of cardboard and then folding up the sides. The cardboard measures 10 in. by 12 in. What are the dimensions of the box that will have greatest volume if the ...
*January 17, 2014 by kaa*

**math **

An open box is to be made from a flat square piece of material 20 inches in length and width by cutting equal squares of length x from the corners and folding up the sides. (a) Write the volume V of the box as a function of x. Leave it as a product of factors; you do not have ...
*January 27, 2015 by jp*