Question

The base of a square pyramid has a side length of 7 inches. The height of the pyramid is 19 inches.

What is the approximate volume of the pyramid?

A.
133 in3

B.
177 in3

C.
310 in3

D.
931 in3

Answer 1

The formula for the volume of a square based pyramid is:


`V={ a }^( 2 )\cdot \frac { h }{ 3 }`

{Source: Google}

You've stated that:


`a=7\\ \\ h=19`

Therefore:


`V={ 7 }^( 2 )* \frac { 19 }{ 3 } =\frac { 931 }{ 3 }`

So the approximate volume of the square based pyramid is:

310 inches³ {Answer: C}