Question

How does the volume of a pyramid change when the height is halved?

Answer 1

The volume of a pyramid is also halved.

Explanation:

We can find out volume of a pyramid with formula V=
`(1)/(3) B*h`

Let´s say, that the base of the pyramid is 18
`m^(2)`.

The equation then becomes
`V=(1)/(3) *18*h`.

`(1)/(3) *18` is 6. If the height of the pyramid is 1, the whole equation will be
`V=(1)/(3)*18*1` which is 6
`m^(3)`.

if we halve the height, the equation is
`V=(1)/(3)*18*0.5`

That is 3
`m^(3)`

If the height of a pyramid halves, the volume also halves.

I hope that I have helped you.