SOLUTION: You cut square corners from a piece of cardboard that has dimensions 32 cm by 40 cm. You then fold the cardboard to create a box with no lid. To the nearest centimeter, what are th

Question 739455: You cut square corners from a piece of cardboard that has dimensions 32 cm by 40 cm. You then fold the cardboard to create a box with no lid. To the nearest centimeter, what are the dimensions of the box that will have the greatest volume?

Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
volume, v = area of bottom multiplied by height of each side.
x=height of each side, from cutting out the corners.

two sides are , and other two sides are lengths.
They make the bottom area.

v = height * oneSideLength * otherSideLength

OR
.

You would either use a graphing calculator to find the maximum, or resort to Calculus taking derivative to find the maximum.

Find where .
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