Find the volume of a pyramid with a square base, where the side length of the base is 10.9 m and the height of the pyramid is 4.7 m. Round your answer to the nearest tenth of a …

Question

asked Jul 21, 2021 122k views

2 Answers

Syed Ariff · Answer 1 · 2021-07-25T16:45:45+0000

Answer:

$V=186.1\ m^3$

Explanation:

Volume of a Pyramid

The volume of a pyramid with base area Ab and height H is given by:

$\displaystyle V=(A_b*H)/(3)$

If the base is a square of side length L, then its area is:

A_b=L^2

Thus, substituting the above equation in the first:

$\displaystyle V=(L^2*H)/(3)$

The side length is L=10.9 m and the height is 4.7 m, thus the volume is:

$\displaystyle V=(10.9^2*4.7)/(3)$

$\displaystyle V=(558.407)/(3)$

$\boxed{V=186.1\ m^3}$