You are given rectangular cardboard which is long and wide. We are then asked to create an open box from it by cutting equal squares of length, , from the corners and then we fold it at its side.

How do we write the volume of the box as a function of ? Do not expand the expression.

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Calculus 1

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20 Feb 2021

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7. A square sheet of cardboard of side length a is used to make an open box by cutting equal squares from the four corners and folding up the sides. What size squares in terms of a should be cut out of the corners to obtain a box of maximum possible volume? What is the maximum possible volume (in terms of a)? Show all work and justification in your solution. (13 points)

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You are given rectangular cardboard which is long and wide. We are then asked to create an open box from it by cutting equal squares of length, , from the corners and then we fold it at its side. How do we write the volume of the box as a function of ? Do not expand the expression.

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You are given rectangular cardboard which is long and wide. We are then asked to create an open box from it by cutting equal squares of length, , from the corners and then we fold it at its side.

How do we write the volume of the box as a function of ? Do not expand the expression.