Question

The volume of a rectangular prism can be modeled by the expression 4x3 - 108.

Find expressions for the dimensions of the prism by factoring, Write dimensions in box.

Answer 1

4(x - 3)(x^2 + 3x + 9)

Explanation:

4x^3 - 108 = 4(x^3 - 27), or

4(x^3 - 3^3), or

4(x - 3)(x^2 + 3x + 9)

We could choose to let 4 represent the height of the prism, x - 3 the width and x^2 + 3x + 9 the length.