The base of a square pyramid has a side length of 9 inches. The height of the pyramid is 21 inches. What is the volume of the pyramid? A. 189 in3 B. 567 in3 C. 850.5 in3 D. 1701 in3
Answer:
The volume of the pyramid is B. \(567in^{3}\).
Step-by-step explanation:
The volume of a pyramid is calculated using the following formula
\(V = \frac{lwh}{3}\)
In which L is length of base, W is width of base, and H is height of the pyramid. Since the base of a pyramid is a square (which have 4 equal sides) and we were given the length and height we can plug that into the formula to get the volume of the pyramid.
\(V = \frac{(9in)(9in)(21in)}{3}\)
\(V = \frac{(81in^{2})(21in ) }{3}\)
\(V = \frac{1701in^{3} }{3}\)
\(V = 567in^{3}\)
So the volume of the pyramid is \(567in^{3}\).
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