A sculpture is in the shape of a square pyramid. The sculpture has a height of 36 feet and a volume of 19,200 cubic feet. Find the side length of the square base.

Correct answer: a = 40 feet

Step-by-step explanation:

Given:

V = 19,200 feet³ volume of the sculpture

H = 36 feet height of the sculpture

a = ? side length of the square base

The formula for calculating the volume of a pyramid is:

V = B H / 3 ⇒ B = 3 V / H

B = 3 · 19,200 / 36 = 19,200 / 12 = 1,600

B = a²

a² = 1,600 ⇒ a = √1,600 = 40 feet

a = 40 feet

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