Question

What is the volume of this square pyramid?

Enter your answer in the box.



cm³



A square pyramid with base side labeled as 14 centimeters and height labeled as 24 centimeters. A right triangle formed inside the pyramid shares a common side with the height. The base of the triangle is labeled as 7 centimeters and the hypotenuse is labeled as 25 centimeters.

Answer 1

The volume of the square pyramid is
`1,568\ cm^(3)`

Explanation:

The volume of the pyramid is equal to

`V=(1)/(3)BH`

where

B is the area of the base of the pyramid

H is the height of the pyramid

In this problem we have

`H=24\ cm`

Find the area of the base B

`B=14^(2)= 196\ cm^(2)` ----> is the area of a square

substitute the values and find the volume

`V=(1)/(3)(196)(24)=1,568\ cm^(3)`