Question

A pyramid has a base area of 28 cm² and a height of 24.9 cm.

What is the volume of the pyramid?

Answer 1

The answer would be 28 times 24.9 and divide by 3 which is 232.4.

Answer 2

Volume of a prism is given by:

`V =(1)/(3)(B \cdot h)`

where

B is the base area

h is the height of the pyramid.

As per the statement:

A pyramid has a base area of 28 cm² and a height of 24.9 cm

⇒B = 28 cm² and h = 24.9 cm

By formula of Volume of pyramid we have;

`V =(1)/(3)(B \cdot h)`

Substitute the given values we have;

`V = (1)/(3)(28 \cdot 24.9)= (1)/(3) \cdot 697.2 = 232.4 cm^3`

Therefore, the volume of a pyramid is,

`232.4\text{cm}^3`