Question

What is the volume of a cube-shaped flower pot that has a side with a length of x + 4 inches? A) (x3 + 64) in3 B) (x2 + 8x + 16) in3 C) (x3 + 12x2 + 48x + 64) in3 D) (x3 + 16x2 + 16x + 16) in3

Answer 1

C

Explanation:

The volume of a cube is
`s^3` where s is the side length. The side length here is (x+4) so the volume is
`(x+4)^3`. This multiplies out to be

`(x+4)(x+4)(x+4)\\(x^2+8x+16)(x+4)\\x^3+8x^2+16x+4x^2+32x+64\\x^3+12x^2+48x+64`