Question

The top of each fence post is a square pyramid . The side length of the base of the fence top is 10.1 centimeters . The height of the fence is 8.868 centimeters. What is the volume of the post top

Answer 1

301.54 cubic centimeters.

Explanation:

Given:

The top of each fence post is a square pyramid.

The side length of the base of the fence top is 10.1 cm.

The height of the fence is 8.868 cm.

Question asked:

What is the volume of the post top ?

Solution:

First of all we will find base area of the fence then volume of post top (square pyramid)

Side length = 10.1 cm

As we know:

`Area\ of\ square=(Side)^(2)`

`=(10.1)^(2) =102.01\ cm^(2)`

Now

`Volume\ of\ square\ pyramid=(1)/(3) * base\ area* height`

`=(1)/(3) *102.01*8.868=(904.62)/(3) =301.54\ cm^(3)`

Thus, volume of the post top is 301.54 cubic centimeters.