Tuesday

September 2, 2014

September 2, 2014

Number of results: 33,031

**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*

**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*

**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*

**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*

**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**

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 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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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**

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**

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*

**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*

**Pre-Calc**

An open box is formed by cutting squares out of a piece of cardboard that is 22 ft by 27 ft and folding up the flaps. What size corner squares should be cut to yield a box that has a volume of less than 235 cubic feet? I know that the size corner squares are .42 and 9.46. My ...
*September 24, 2009 by MUFFY*

**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 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*

**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**

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*

**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*

**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*

**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**

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*

**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*

**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*

**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**

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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**math**

an open box is to be formed out of a rectangular piece of cardboard whose length is 8 cm longer than its width to form the box,a square of side 4 cm will be removed from each corner of the cardboard then the edges of the remaining cardboard will be turned up.
*June 18, 2014 by kenneth*

**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--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*

**Calculus**

An open box is to be made from cutting squares of side "s" from each corner of a piece of cardboard 25" by 30". Write an expression for the volume, V, of the box in terms of s. -I have no idea where to start on this. I know V=lwh (length*width*height), but what about "s" and ...
*August 1, 2009 by Monique*

**calculus**

A 33 by 33 square piece of cardboard is to be made into a box by cutting out equal square corners from each side of the square. What size corners should be cut out so that the volume of the box is maximized?
*February 20, 2012 by james*

**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*

**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*

**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*

**Trigonometry **

an open box is made by cutting squares from the corners of a piece of metal that is 18 cm by 26 cm. If the edge of each cut-out square is x cm, find the volume when x=1, x=2, and x=3. If someone could explain to me how to do this. It would be very appreciated. Thanks!
*August 24, 2011 by asdfghjk*

**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*

**math **

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 16 in. long and 6 in. wide, find the dimensions of the box that will yield the maximum volume. (Round your ...
*March 30, 2011 by Anonymous*

**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 16 in. long and 10 in. wide, find the dimensions of the box that will yield the maximum volume. (Round your ...
*June 17, 2013 by Anonymous*

**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*

**Algebra**

A box with a square base and no top is to be made from a square piece of cardboard by cutting 4-in squares from each corner and folding up the sides... the box is told 100 in cube, how big a piece of cardboard is needed?
*January 10, 2010 by Sara*

**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**

A box with a square base and no top is to be made from a square piece of cardboard by cutting 4-in. squares from each corner and folding up the sides, as shown in the figure. The box is to hold 196 in3. How big a piece of cardboard is needed?
*September 3, 2012 by roger*

**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*

**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*

**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*

**maths**

an open box of rectangular base is to be made from 24 cm by 45cm cardboard by cutting out squares sheets of equal size from each corner and bending the sides.find the dimensions of the corner squares to obtain a box having largest volume.
*January 19, 2013 by sadia khan*

**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*

**Math Please Help**

A pizza box top 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. If the area of the base is to 144 in^2, what piece of cardboard should be used. Please ...
*January 13, 2013 by Barb*

**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*

**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**

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*

**pre calc**

An open box is formedby cutting squares out of a peice of cardboard that is 18 feet by 26 feet and folding up the flaps. What size corner squares should be cut to yield a box that has a volume of 250 cubic feet
*September 19, 2013 by bethany*

**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**

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*

**Pre-calc**

Congruent squares are cut from the corners of a 20 in. square piece of tine, and the edges are turned up to make an open box. How large should the squares cut from the corners be in order to maximize the volume of the box?
*May 15, 2012 by Bobert*

**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*

**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**

An open box is to be constructed by cutting corners out of a 9in by 12in sheet of cardboard and folding up the sides. Find the dimensions which will maximize volume.
*November 27, 2012 by cookie*

**Precalculus**

An open box is to be formed from a square sheet of carboard (square is 10x10 cm) by cutting squares and then folding up the sides. (the squares cut off are just the corners as they are labeles as an x by x). A) Find a function for the volume of the box. State the domain of ...
*October 23, 2012 by Sam*

**Precalculus**

An open box is to be formed from a square sheet of carboard (square is 10x10 cm) by cutting squares and then folding up the sides. (the squares cut off are just the corners as they are labeles as an x by x). A) Find a function for the volume of the box. State the domain of ...
*October 23, 2012 by Sam*

**Maths - Algebra**

Boxes are made by cutting 8cm squares from the corners of sheets of cardboard and then folding. The sheets of cardboard are 6cm lnbger than they are wide. width of sheet= x length of sheet = x+6 length of finished box = (x-10) width of finished box = (x-16) volume of the box...
*November 12, 2011 by Mike*

**math**

it is required to make an open box of gregreatest possible volume from a square piece of tin,whose side is one metre' by cutting equal squares out of the corners and then folding up the tin to form the sides, what should be the length of a side of the sgures cut out/
*September 26, 2012 by nithiya nithyananthan*

**Math**

From a 10-inch-by-19-inch piece of cardboard, 3-inch-square corners are cut out, as shown in the figure above, and the resulting flaps are folded up to form an open box. Find the surface area and volume of the open box
*April 26, 2011 by Tory*

**Pre-Calc**

I am having a great deal of difficulty with this problem. 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. a. what size corner squares should be cut to yield a box that has a volume of 175 cubic feet. So I ...
*September 7, 2009 by Ashley*

**Math**

A pizza box with a square base is to be made rom a rectangular sheet of cardborad by cutting six 1-inch squares from the corners and the middle sections and folding up the sides. If area of the base is to be 144 in^2, what piece of cardboard should be used?
*January 12, 2013 by Barb*

**PreCal**

A square sheet of cardboard 18 inches is made into an open box (there is no top), by cutting squares of equal size out of each corner and folding up the sides. Find the dimensions of the box with the maximun volume. Volume= base(width)height but base + 2H =18 base + 2W=18 ...
*November 6, 2006 by Chau*

**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*

**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 piece of cardboard has a length of 60cm and a width of 40cm. In order to make the cardboard into an open box, a box with no lid), a piece of length x must be cut out of each corner. Write an equation to represent each dimension of the box.
*July 26, 2011 by Kate*

**Math**

A box with no top is to be constructed from a piece of cardboard whose Width measures x inch and whose length measures 3 inch more than the width the box is to be formed by cutting squares that measure 1 inch on each side of the 4 corners and then folding up the sides If the ...
*September 18, 2011 by HM*

**Pre Cal**

An open box is formed from an 80cm by 80cm peice of metal by cutting four identical squares from teh corners adn folding up the sides. Express the volume of the box in terms of x. Then describe how you could find the maximum possible volume.
*January 9, 2010 by Jen*

**calculus**

A box with a square base and no top is to be made from a square piece of carboard by cutting 7 in. squares from each corner and folding up the sides. The box is to hold 16128 in3. How big a piece of cardboard is needed? ?in by ?in
*July 9, 2010 by Sara*

**calculus**

A box with a square base and no top is to be made from a square piece of carboard by cutting 3 in. squares from each corner and folding up the sides. The box is to hold 7500 in3. How big a piece of cardboard is needed? ?in by ?in
*July 9, 2010 by Sara*

**Pre cal**

A box with a square base and no top is to be made from a square piece of carboard by cutting 8 in. squares from each corner and folding up the sides. The box is to hold 7200 in. How big a piece of cardboard is needed?
*March 3, 2013 by Rayven*

**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*

**Algebra 1 (Reiny!)**

A piece of 8.5-by-11-inch cardboard has identical squares cut from its corners. It is then folded into a box with no lid. The volume of the box in cubic inches is 4c^3 - 39c^2 + 93.5c, where c is the side length of the missing squares in inches. a. What is the volume of the ...
*February 9, 2014 by Anonymous*

**math**

A piece of cardboard measure 12ft by 12ft. Corners are to be cut from it as shown by the broken lines, and the sides folded up to make a box with an open top. What size corners should be cut from the cardboard to make a boxx with the greatest possible volume.
*February 27, 2013 by jo*

**algebra**

An open-top box is to be constructed from a 6 foot by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out. a)
*March 7, 2007 by Jade*

**math**

An open-top box is to be constructed from a 6 foot by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out. a)
*March 10, 2007 by alesia*

**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**

You want to create an open rectangular box from a rectangular piece of cardboard. The cardboard has length 14 in and you want to cut 2 in squares from each corner. Draw a diagram. What is the length of the box?
*August 24, 2014 by Olivia*

**Calculus**

A manufacturer constructs open boxes from sheets of cardboard that are 6 inches square by cutting small squares from the corners and folding up the sides. The Research and Development Department asks you to determine the size of the square that produces a box of greatest ...
*August 9, 2011 by Isaac*

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