Question

15. The volume of a rectangular pyramid

is 10,500 cubic centimeters. It has a
length of 15 centimeters and a width of
85 centimeters. What is its height?

Answer 1

Its height is 24.71 centimeters.

Explanation:

Given:

The volume of a rectangular pyramid is 10,500 cubic centimeters.

It has a length of 15 centimeters and a width of 85 centimeters.

Now, to find the height.

Let the height be
`h.`

Volume of rectangular pyramid = 10,500 cubic centimeters.

Length (l) = 15 centimeters.

Width (w) = 85 centimeters.

Now, to get the height by putting formula:

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

`10500=(15* 85* h)/(3)`

`10500=(1275h)/(3)`

Multiplying both sides by 3 we get:

`31500=1275h`

Dividing both sides by 1275 we get:

`24.71 =h\\\\h=24.71\ centimeters.`

Therefore, its height is 24.71 centimeters.