Question

What is the volume of the pyramid?

Answer 1

Given:

Given that the base of the triangle is 17 inches.

The height of the triangle is 10 inches.

The height of the triangular pyramid is 20 inches.

We need to determine the volume of the pyramid.

Area of the base of the pyramid:

The area of the base of the pyramid can be determined using the formula,

$B=\frac{1}{2} bh$

Substituting b = 17 and h = 10, we get;

$B=\frac{1}{2}(17)(10)$

$B=85 \ in^2$

Thus, the area of the base of the pyramid is 85 square inches.

Volume of the pyramid:

The volume of the pyramid can be determined using the formula,

$V=\frac{1}{3}Bh$

where B is the area of the base of the pyramid and h is the height of the pyramid.

Substituting B= 85 and H = 20, we get;

$V=\frac{1}{3}(85)(20)$

$V=\frac{1}{3}(1700)$

$V=567 \ in^3$

Thus, the volume of the given triangular pyramid is 567 cubic inches.