Question

What’s the height of the pyramid?

Answer 1

12.2
`m^(3)`

Explanation:

We know that the formula to find the volume of a square pyramid is
`(1)/(3)b^(2) height` being b one of the sides of the base.

We have a perimeter of 14 m and we know that is a square, so the lenght of the sides of the square can be find by the formula:

`side=(perimeter)/(4)` =
`(14)/(4)` = 3.5 m.

Now we know the sides of the square so we know b in the formula of the volume. We need to put the height alone in one of the sides of the formula

v=
`(1)/(3)b^(2) height`

`3V=b^(2) height`

`(3V)/(b^(2) ) = height`

We put the values in the new formula:
`(3(50))/(3.5^(2) ) = height` = 12.2
`m^(3)`