Question

A triangular pyramid has a right triangle for its base. The perpendicular sides of the triangle are 10 inches and 18 inches long. Compute the volume of the triangular pyramid if the height is 14 inches.

A. 252 in 3
B. 420 in 3
C. 2520 in 3
D. 1260 in 3​

Answer 1

90 cubic inches

Explanation:

The formula for a triangular pyramid is 1/3AH. A is the area of the base. H is the height of the pyramid. So to find the area of a right triangle, you would use the formula (a x b)/2. So (10 x18)/2 is 90 inches^2. Now you can fill in the first formula. 1/3(90 x 14), which equals 420 inches^3.

V = 1/3 · area of base · height

V = 1/3 · 18 · 15

V = 6 · 15

V = 90

I hope you find this helpful (if correct.)