Question

Find the volume of a pyramid with a square base, where the perimeter of the base is

11.1

ft

11.1 ft and the height of the pyramid is

15.7

ft

15.7 ft. Round your answer to the nearest tenth of a cubic foot.

Answer 1

40.3 cubic foot

Explanation:

Perimeter of the pyramid's base=11.1 ft

Now, this is a square base, and we know that:

Perimeter of a Square=4l

Therefore: 4l=11.1

l=11.1/4=2.775 ft

• The length of a side of the base =2.775 ft
• Height of the Pyramid =15.7 ft

Volume of a pyramid

`=(1)/(3)$ X Base Area X Height \\=(1)/(3) X 2.775^2 X 15.7\\=40.3 ft^3 $ (correct to the nearest tenth of a cubic foot.)`