Function and volume help!?

Question

A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 6 in. by 10 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.

Answer 1

Bottom will be (6-2x) * (10 - 2x)

height will be x

Volume is product of the two

(6 - 2x) * (10 - 2x) * x

(Great nick you have there!)

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