Question

The base of a pyramid is a right triangle.
What is the volume of the pyramid?

Answer 1

Volume of the pyramid=
`396 km^3`

Explanation:

Volume of a right triangular pyramid =
`(1)/(3)*A*H`

Where A= Area of the base triangle of the pyramid

and H = Height of the Pyramid from base to top of it.

In the base triangle:

Length of base= 12 Km Length of Altitude of base triangle=9 km

Area of the base triangle(A)

`= (1)/(2) *base *altitude \\\\ = (1)/(2) * 12*9\\\\ = 54 Km^2`

Volume of the pyramid=
`(1)/(3)*A*H` :
`H=22 Km`

`(1)/(3) *54*22`

`=18*22`

Volume of the pyramid=
`396 km^3`

Answer 2

792km^3

Explanation:

The volume of pyramid is calculated by multiplying l×w×h and that's divided by 3 (l: length, w: width, h: height)

Height of this pyramid : 22km

Width of this pyramid : 9km

Length of this pyramid : 12km we have to multiply these values and divide the result by 3

22×9×12 ÷ 3 = 792km^3