A 12cm by 8cm rectangular piece of metal is to be made into an opentop box by cutting a sqaure from corner and folding up the resulting flaps (sides). If the volume of the lidless box is 36 cm what
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College Algebra
A rectanguler piece of metal is 5 inches longer than it is wide. Square with sides 1 inches longer are cut from the four corners and the flaps are folded upward to form an open box. If the volume of the box is 644 inches, what are the original dimensions

math
The dimension of a rectangular metal box are 3 cm,5cm and 8cm.if the first two dimensions are increased by the same number of centimeters, while the third dimension remains the same, the new volume is 34 cubic cetimeters more than the original volume.what

math
An open box is made from a rectangular piece of cardboard measuring 16 cm by 10cm. Four equal squares are to be cut from each corner and flaps folded up. Find the length of the side of the square which makes the volume of the box as large as possible. Find

Math
An open box is to be made from a square piece of material by cutting fourcentimeter squares from each corner and turning up the sides (see figure). The volume of the finished box is to be 144 cubic centimeters. Find the size of the original piece of

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

Calculus
You are given a piece of sheet metal that is twice as long as it is wide an has an area of 800m^2. Find the dimensions of the rectangular box that would contain a max volume if it were constructed from this piece of metal by cutting out squares of equal

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?

College Algebra
A rectangular piece of metal is 15in longer than it is wide. Squares with sides 3 in long are cut from four corners and the flaps are folded up to form an open box. If the volume is 1218in^3, what we’re the original deminsions of the piece of metal?

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.

MAT 150
A rectangular piece of metal is 15 inches longer than it is white squares with size 3 inches longer cut from the four corners and the flaps are for the upward to form an open box if the volume of the box is 750 inches^3 What were the original dimensions of

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,

math
an open rectangular box is to be formed by cutting identical squares, each of side 2 in, one from each corner of a rectangular piece of cardboard, and then turning up the ends. If the area of the piece of cardboard is 160 in² and the box is to have volume

Calculus
I actually have two questions: 4. An open box is to be made from a rectangular piece of material 3m by 2m by cutting a congruent square from each corner and folding up the sides. What are the dimensions of the box of the largest volume made this way, and

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?

Math
A rectangular piece of cardboard measuring 12 cm by 18 cm is to be made into a box with an open top by cutting equal size squares from each corner and folding up the sides. Let x represent the length of a side of each square in centimetres. a. Give the

Calculus (Optimization)
A rectangular piece of cardboard, 8 inches by 14 inches, is used to make an open top box by cutting out a small square from each corner and bending up the sides. What size square should be cut from each corner for the box to have the maximum volume? So far

Calculus
A rectangular box open at the is to form a rectangular piece of cardboard which is 3m*8m.what size of square should be cut from each corner to form the box with maximum volume?

math
An open box is to be made from a square piece of material by cutting fourcentimeter squares from each corner and turning up the sides (see figure). The volume of the finished box is to be 576 cubic centimeters. Find the size of the original piece of

Math
A 5 cm by 5 cm square is cut from each corner of a rectangular piece of cardboard. The sides are folded up to make an open box with a maximum volume. If the perimeter of the base is 50 cm, what are the dimensions of the box?

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

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

math
Four corners are cut from a rectangular piece of cardboard that measures 5 ft by 3 ft. The cuts are x feet from the corners, as shown in the figure below. After the cuts are made, the sides of the rectangle are folded to form an open box. The area of the

Math
On a rectangular piece of cardboard with perimeter 19 inches, three parallel and equally spaced creases are made. The cardboard is then folded along the creases to make a rectangular box with open ends. Letting x represent the distance (in inches) between

Pre Cal 12
A 12cm by 8cm rectangular piece of metal is to be made into an opentop box by cutting a sqaure from corner and folding up the resulting flaps (sides). If the volume of the lidless box is 36 cm what are the integer dimensions of the box?

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

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

Math
On a rectangular piece of cardboard with perimeter inches, three parallel and equally spaced creases are made. The cardboard is then folded along the creases to make a rectangular box with open ends. Letting x represent the distance (in inches) between the

Algebra 2
An opentop box is made from a 14inchby32inch piece of cardboard, as shown below. The volume of the box is represented by V(x) = x(14  2x)(32  2x), where x is the height of the box. a. Write the volume of the box as a polynomial function in standard

math
Four corners are cut from a rectangular piece of cardboard that measures 5 ft by 3 ft. The cuts are x feet from the corners, as shown in the figure below. After the cuts are made, the sides of the rectangle are folded to form an open box. The area of the

math
An opentopped 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

Math Math Analysis
In a rectangular piece of cardboard with a perimeter of 20ft, three parallel and equally spaces creases are made (so the piece is divided into four equal sections.) The cardboard is then folded to make a rectangular box with open square ends. a. Write a

Calc
A rectangular box, with a square base and open at the top is to be constructed. If the volume of the box needs to be 108 cubic feet, what is the minimum surface area?

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

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

Math
Tracy made a stained glass jewellery box. It measured 20cm by 12cm by 8cm. a) About how much glass did Tracy use? b) one piece of glass has an area of 100 cm squared and costs $3.65. How much did the glass cost?(assume all pieces can be used Please help

Calculus
An open box is to be made from a rectangular piece of material by cutting equal squares of length x from each corner and turning up the sides. If the material is 18 inches long and 12 inches wide. What is the volume of the box as a function of x?

caculas
an open box is to be made by cutting small congruent squares from corners of a 12cm by 12cm . sheet of tin and bending up the sides . how large should the squares cut from the corners to be make the box hold as much as possible ?

math
The length of an opentop box is 4 cm longer than its width. The box was made from a 480cm^2 rectangular sheet of material with 6cm by 6cm squares cut from each corner. The height of the box is 6cm. Find the dimensions of the box. Please show me in detail

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

MATH
an electrical transformer box is a rectangular prism constructed from sheet metal. it must have a volume of at least 274 625 cm^3 to hold all the necessary equipment. a) what dimensions for the box require the least area of sheet metal? b) what area of

Precalculus
From a circular piece of metal sheet with diameter 20 cm, a rectangular piece with perimeter 28 cm is to be cut as shown. Find the dimensions of the rectangular piece.

calculus
Find the dimensions of the largest rectangular box with a square base and open top that can be made from 300cm^2 of metal.

Maths
a rectangular metal sheet of length 30cm and breadth 25cm is to be made into an open box of base area 300cm by cutting out equal squares from each of the four corners and then bending up the edges find the length and the side cut from each corner

Algebra
Identical squares are cut off from each corner of a rectangular piece of cardboard measuring 7cm by 12cm. The sides are then folded up to make a box with an open top. If the volume of the box is 33cm^3, what is the largest possible length of each side of

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.

maths
An open rectangular box measuring 28cm by 20cm by 12cm internally is made of wood 0.5 cm thick. find the volume of wood used in making box?

math
application of derivatives: an open box is to be made by cutting small congruent squares from corners of a 12cm by 12cm . sheet of tin and bending up the sides . how large should the squares cut from the corners to be make the box hold as much as possible

Math
A machine produces open boxes using rectangular sheets of metal (12in by 20in). The machine cuts equalsized squares from each corner, and then shapes the metal into an open box by turning up the sides. Express the volume of the box V(x) in cubic inches as

Calculus
A rectangular box opens Ata the top is to be formed from a rectangular piece of cardboard which is 3 m * 8m. What size of square should be cut from each corner to form the box with maximum volume.?

Maths
A lidless metal box has external dimensions 25cm×20cm×12cm. If the thickness is uniformly 1 cm, find the volume of metal used in the box.

precalc
"An open gift box is to be made from a square piece of material by cutting 2 centimeter squares from each corner and turning up the sides. The volume of the finished gift box is to be 200 cubic centimeters. Find the size of the original piece of material."

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.

CALCULUS
A PIECE OF SHEET METAL IS 2.6 TIMES AS LONGS AS IT IS WIDE. IT IS TO BE MADE INTO A BOX WITH AN OPEN TOP BY CUTTING 3INCH SQUARES FROM EACH CORNER AND FOLDING UP THE SIDES. IF THE VOLUME OF THE BOX MUST BE BETWEEN 600 AND 800 CUBIC INCHES, WHAT VALUES OF

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 2in 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

math
A rectangular piece of cardboard 9" x 12" is made into an open box by cutting a 2 1/2" square from each corner and bending up the sides. Find the volume of the box if no allowance is made for overlapping of the edges. a. 70 cu. in. b. 154 3/8 cu. in. c.

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

calculus
An open box is to be made. This box is to have a bottom and four sides, but no top. The box is to be made from paper that is 7" by 12". Maximize the volume and find the height.

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

Algebra / geometry
In the box shown at the right, what is th length of the dashed line? There is a picture of a cube with a dashed line going through it diagonally. On top of the box a side is marked 12cm, on the side 8cm, and bottom 9cm.

Math
You want to create an open rectangular box from a rectangular box. from a square piece of cardboard 20 inches by 20 inches. You will cut a 3 inch square from each corner. Draw a diagram and find the length of the box. Can someone help me with this diagram

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

Math
An open box is made from a square piece of metal by cutting out a 4 inch square from each corner and turning up the sides. Find the area of the original square if the box is to contain: A) 16 cubic inches And B) 400 cubic inches

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 (sidelength) squares should be cut out to make the box have as much volume as

math
On a rectangular piece of cardboard with perimeter inches, three parallel and equally spaced creases are made (see Figure 1). The cardboard is then folded along the creases to make a rectangular box with open ends (see Figure 2). Letting represent the

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?

mnhs
an open box is to be made from a rectangular piece of tin 12 inches long and 10 inches wide by cutting pieces of xinches square from each corner and bending up the sides.find the domain of the function ?

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)

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.

Math
An open box is to be made from a 10ft by 14ft 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?

Math
A box with an open top is to be made by cutting 5inch 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;

Algebra
A box is to be formed from a rectangular piece of sheet metal by cutting squares measuring 5 inches on a side and then folding the sides. The piece of sheet metal is twice as long as it is wide. If the volume of the box is to be 1760 in^3, what are the

Math
A rectangular piece of metal with dimensions 14 CMA 24 CM is used to make an open box equal squares of side length X centimeters are cut from the corners and sides are folded up a polynomial function that represents the volume, V,of the box is:

math 12
$identical\:squares\:are\:cut\:from\:each\:corner\:of\:a\:rectangular\:piece\:of\:cardboard,\:7\:cm\:by\:10\:cm.\:The\:sides\:are\:then\:folded\:up\:to\:make\:a\:box\:with\:an\:open\:top.\:If\:the\:volume\:of\:the\:box\:is\:25\:cubic\:centimeter,\:how\:lon

ap calculus bc
the jewelry box will have rectangular sides and an open top. the longer sides will be made of gold at a cost of $300/in^2 and the shorter sides will be made from platinum at a price of $550/in^2. the bottom of the box will be made from plywood at a cost of

math,algebra
an open box is to be made by cutting small congruent squares from corners of a 12cm by 12cm . sheet of tin and bending up the sides . how large should the squares cut from the corners to be make the box hold as much as possible ?

Math
An open box is made by removing squares of length x in each corner of 8 unit by 6 unit rectangular piece ofcardboard. HOw long is × so that the volume of the resulting box is 192unit.

calculus
A box is constructed out of two different types of metal. The metal for the top and bottom, which are both square, costs $2/ft2. The metal for the four rectangular sides costs $3/ft2. Find the dimensions that minimize cost if the box has a volume 20 ft3.

math
Answer by factoring a quadratic equation. The length of an opentop box is 4 cm longer than its width. The box was made from a 480cm^2 rectangular sheet of material with 6cm by 6cm squares cut from each corner. The height of the box is 6cm. Find the

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 cutout 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

math
An open box is to be made from a rectangular piece of tin 12 inches long and 10 inches wide by cutting pieces of xinch square from each corner and bonding up the sides. find the formula that expresses the volume of the box as a function of x.

math final review (help)
from a 12cm by 12cm piece of cardboard, square corners are cut out so that the sides can be folded up to make a box. Express the volume of the box as a function of the length, x, in centimeters.

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

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

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

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

Math
A rectangular piece of metal with 4 equally sized circular holes have a diameter of 12 cm cut from it. Calculate the area of metal after the holes have been cut out 339.12cm squared Rectangle formula : l x w Circle : π × r2

ALGEBRA
DAmon you equaled them to zero that is not rightt An opentopped box can be made from a rectangular sheet of aluminum, an opentopped box can be made from a rectangular sheet of aluminum, with dimensions 40 cm by 25 cm, by cutting equalsized squares from

Math/209
Dimensions of a Box A box is made from a rectangular piece of metal with length 50 inches and width 40 inches by cutting out square corners of length x and folding up the sides. (a) Write an expression that gives the surface area of the inside of the box.

Algebra (Steve!)
In the box shown at the right, what is th length of the dashed line? There is a picture of a cube with a dashed line going through it diagonally. On top of the box a side is marked 12cm, on the side 8cm, and bottom 9cm.

Advance Algebra
An open box is to be made from a rectangular piece of tin 12 inches long and 10 inches wide by cutting pieces of xinch square from each corner and bending up the sides. a. Find a formula that expresses the volume V of the box as a function of x. b. Find

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

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

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

Math (Word Problem)
An open gift box is to be made from a square piece of material by cutting fourcentimeter squares from the corners and turning up the sides. The volume of the finished box is to be 576 cubic centimeters. How to find the size of the original piece of

Pre Cal
find the surface area of a box of hieght h whose base dimensions are p and q, and that satisfies either one of the following conditions: a) the box is closed. b) the box has an open top. c) the box has an open top and a square base.

geometry
On a rectangular piece of cardboard with perimeter 11 inches, three parallel and equally spaced creases are made. The cardboard is then folded along the creases to make a rectangular box with open ends. Letting x represent the distance (in inches) between

College Algebra
On a rectangular piece of cardboard with perimeter 11 inches, three parallel and equally spaced creases are made. The cardboard is then folded along the creases to make a rectangular box with open ends. Letting x represent the distance (in inches) between

Math
i have a piece of paper 22 in. long and 16 in. wide. i cut a 2 in. x 2 in. square from each corner. i then folds up the sides and forms a box with an open top. what is the volume of this box?

PreCal
I have a piece of paper 22 in. long and 16 in. wide. I cut a 7 in. x 7 in. square from each corner. I then fold up the sides and form a box with an open top. What is the volume of this box?

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