Question

The volume vv of a pyramid is given by the formula v=13bhv=13bh, where bb is the area of the base and hh is the height.

a. solve the formula for hh.

Answer 1

Volume of pyramid(V) =
`(1)/(3)bh`

where 'b' is the base area and 'h' is the height.

We have to determine the formula for height 'h'.

`V = (1)/(3)bh`

Multiplying by '3' on both the sides of the equation.

`3V = bh`

`h = (3V)/(b)`

So, the formula for height 'h' of pyramid is
`h = (3V)/(b)`.