Question

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 1

The volume of this pyramid =(1/3)×(area of base)× height

Answer 2

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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