Question

Find the volume of the following cube using the formula v = 1. w. h
2x+3
X
x+4

Answer 1

V = x³ + 11x² + 12x

Explanation:

calculate the volume (V) using the formula

V = lwh ( l is the length, w the width and h the height )

here l = 2x + 3 , w = x , h = x + 4 , then

V = (2x + 3)(x)(x + 4)

= x(2x + 3)(x + 4) ← expand the factors using FOIL

= x(2x² + 8x + 3x + 12)

= x(2x² + 11x + 12) ← distribute terms in parenthesis by x

= 2x³ + 11x² + 12x