Question

A triangular pyramid has a right triangle for its base. The perpendicular sides of the triangle are 10 inches and 18 inches? Compute the volume of the triangular pyramid if the height is 14 inches. 2520 in3 420 in3 1260 in3 252 in3

what is the answer?

Answer 1

Volume of pyramid `color(magenta)(V = 1/3 * A_b * H = 420` cubic inch.

Explanation:

Volume of pyramid = (1/3) *Area of base * height

Since base is a right triangle, area of base `A_b = 1/2 b h`

`A_b = 1/2 * 10 * 18 = 90` sq inch

Height of pyramid `H = 14` inch

Volume of pyramid `V = 1/3 * A_b * H = 1/3 * 90 * 14 = 420` cubic inch.