Question

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 cubic meter.

Answer 1

Answer:186.1

Explanation:

Answer 2

`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}`