A right pyramid with a square base is shown. It has a base length of x inches and a height of (x + 2) inches. 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? StartFraction x squared (x + 2) Over 3 EndFraction cubic inches StartFraction x (x + 2) Over 3 EndFraction cubic inches StartFraction x cubed Over 3 EndFraction + 2 cubic inches StartFraction x cubed + 2 Over 3 EndFraction cubic inches

The expression that represents the volume of the pyramid in terms of x is Option A.

StartFraction x squared (x + 2) Over 3 EndFraction cubic inches.

V = [x²(x+2)/3] in³

Explanation:

The volume of pyramids are given as

(1/3) × (area of the base) × height

Height of the pyramid = (x + 2) inches

The base of the pyramid is a square, hence,

Area of the base = (base length)² = x²

Volume of the square based pyramid is thus

V = (1/3) × x² × (x + 2)

V = [x²(x+2)/3] in³

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