Question

What is the volume of the following triangular pyramid?

Answer 1

The volume of the triangular pyramid

V = 566.66 in³

Explanation:

Step(i):-

The volume of the triangular pyramid

`= (1)/(3) X base area X height`

Base area = Area of the triangle

`A= (1)/(2) X base X height`

Given the base of the triangle (b) = 17in

Given Height of the triangle (h ) =10 in

`A= (1)/(2)( 17 ) (10) = 85`

The base area of the pyramid ( A) = 85 in²

Step(ii):-

Given the height of the pyramid (h) = 20in

The volume of the triangular pyramid

`= (1)/(3) X base area X height`

The volume of the triangular pyramid

=
`= (1)/(3)( 85)(20) = 566.66`

Final answer:-

The volume of the triangular pyramid

V = 566.66 in³