Question

Suppose a box is to be constructed from a square piece of material of side length x by cutting out a 3-inch square from each corner and turning up the sides. Express the volume of the box as a polynomial in the variable x

Answer 1

material has base x inches by x inches
We are cutting out 3 inches at all 4 corners

base of box is (x-6) by (x-6)
height of box is 3

volume = 3(x-6)^2 , where x > 6

Answer 2

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