Question

An open box is to be made from a rectangular piece of material 9 inches by 12 inches by cutting equal squares from each corner and turning up the sides. Let x be the length of each side of the square cut out of each corner. Write the volume v of the box as a function of x.

Answer 1

The length of the box will be 12 - 2x ins
width will be 9 - 2x ins
height will be x ins.

So the volume is v = x(12 - 2x)(9 - 2x) ins^3 answer