SOLUTION: From a square piece of cardboard, a box with an open top is made by cutting equal squares from the corners, and folding up the sides. If the height of the box is 2 inches and the v

Question 503679: From a square piece of cardboard, a box with an open top is made by cutting equal squares from the corners, and folding up the sides. If the height of the box is 2 inches and the volume is 72 cubic inches, find the length of one side of the cardboard.
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
L = length of the cardboard
The cardboard is square
L^2 = area of the cardboard
.
L -4 = length of the sides of the square box made from the cardboard.
It is L-4 because you have to cut a 2x2 square from each corner to make the box.
.
Volume of the box = 72 cubic in.
.
V = (L-4)*(L-4)*2
V = 72
(L-4)^2 = 36
L-4 = 6
L = 10
.
So, the cardboard square originally had sides = 10 inches.
.
Done.
RELATED QUESTIONS
An open-top box will be made from a square piece of cardboard of length 26-inch by... (answered by ankor@dixie-net.com)

Sandy makes an open-top box by cutting equal squares from the corners of a rectangular... (answered by josgarithmetic,ankor@dixie-net.com,solver91311)

Here is the question I have: An open-top box will be made from a square piece of... (answered by Earlsdon)

A box with an open top is formed by cutting squares out of the corners of a rectangular... (answered by Earlsdon)

A Box with an open top is formed by cutting squares out of the corners of a rectangular... (answered by ankor@dixie-net.com)

A box with an open top is formed by cutting squares out of the corners of a rectangular... (answered by ankor@dixie-net.com)

An open box is to be made from a square piece of material, mc001-1.jpg inches on a side,... (answered by addingup)

A box with an open top is made from a rectangular piece of cardboard by cutting a square... (answered by stanbon)

Thomas is going to make an open-top box by cutting equal squares from the four corners of (answered by ankor@dixie-net.com)