A right pyramid with a square base has a base length of x inches, and the height is two inches longer than the length of the base. Which expression represents the volume in terms of x?

Answer: Volume = 1/3 (x³ + 2x²)

Step-by-step explanation:

The formula for determining the volume of a right pyramid with a square base is expressed as

Volume = 1/3 * base area * height

From the information given,

base length = x inches

Base area = x²

The height is two inches longer than the length of the base. It means that the height is (x + 2) inches.

Therefore, the expression represents the volume in terms of x is

Volume = 1/3 * x² (x + 2)

Volume = 1/3 (x³ + 2x²)

X^2 (x+2) / 3