Question

The length,width, and height of a rectangular prism can be represented by the expressions (x+3), (x+7) and (x-1). What is the volume of the prism?

Answer 1

Ans:

x^3 + 9x^2 + 11x - 21

Explanation:

length * width * height = volume

(x+3)(x+7)(x-1)

(x+3)(x+7)(x) + (x+3)(x+7)(-1)

x^3 + 10x^2 + 21x - x^2 - 10x - 21

x^3 + 9x^2 + 11x - 21