Question

Find the volume of a pyramid with a square base, where the area of the base is 6.8m^2

and the height of the pyramid is 8.6. Round your answer to the nearest tenth of a cubic meter.

Answer 1

The answer on deltamath is

19.5m^3

Answer 2

`19.5\:\mathrm{m^3}`

Explanation:

The volume of a square pyramid is given by
`V=(1)/(3)\cdot s^2\cdot h`, where
`s` is the base edge and
`h` is the height. Since the base area (
`s^2`) is already given to us, we can substitute directly in to our equation.

Solving for
`V`:

`V=(1)/(3)\cdot 6.8\cdot 8.6\approx \boxed{19.5\:\mathrm{m^3}}`