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 t
he side length of the square base.
2 answers:
:
feet
<h2><u>EXPLANATION:</u></h2><h2><u></u></h2>
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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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