Question

A right rectangular pyramid has base dimensions of 23.2 by 17.0 and a volume of 1552.4. What is the pyramids height

Answer 1

The height of the pyramid is 11.81.

Explanation:

Given:

A right rectangular pyramid has base dimensions of 23.2 by 17.0 and a volume of 1552.4.

Now, to find the pyramids height.

Let the height be
`h.`

Volume = 1552.4.

And the dimensions are:

Length (l) = 23.2.

Width (w) = 17.0.

Now, to get the height we put formula:

`Volume =(l* w* h)/(3)`

`1552.4=(23.2* 17.0* h)/(3)`

`1552.4=(394.4h)/(3)`

Multiplying both sides by 3 we get:

`4657.2=394.4h`

Dividing both sides by 394.4 we get:

`11.81=h`

`h=11.81`.

Therefore, the height of the pyramid is 11.81.