Question

A triangular pyramid has a volume of 48 in3. The base edge is 9 in and the base height is 4 in. Find the height of the pyramid.

Answer 1

8 in

Explanation:

First of all we have to find the area of the base triangle.

For do this we can use this formula:

A = (base edge x base height)/2

A = (9 x 4)/2 = 18 in^2

The formula for find the volume of a pyramid is:

V= Base area x height)/3

So the height can be find in this way

3 x V = base area x height

height = (3 x V)/base area

height = (3 x 48)/18 = 8 in

Answer 2

pretty sure it is 8in I think