Question

The length of each side of a cube is x + 1 inches. What is the volume of the cube in cubic inches?

Answer 1

Answer:

V = x³ + 3x² + 3x + 1 in³

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ( where s is the side ) , then

V = (x + 1)³

   = (x + 1)(x + 1)(x + 1) ← expand second pair using FOIL

   = (x + 1)(x² + 2x + 1) ← distribute

   = x³ + 2x² + x + x² + 2x + 1 ← collect like terms

   = x³ + 3x² + 3x + 1