Question

Find the volume of the pyramid below. Hint: The base is a right triangle, so you will need to find

Answer 1

Given:

Given that the height of the pyramid is 12 units.

The base of the triangle is 8 units.

The height of the triangle is 6 units.

We need to determine the volume of the pyramid.

Area of the triangle:

The area of the triangle can be determined using the formula,

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

where b is the base of the triangle and h is the height of the triangle.

Substituting the values, we get;

$A=\frac{1}{2}(8)(6)$

$A=\frac{1}{2}(48)$

$A=24$

Thus, the area of the triangle is 24 square units.

Volume of the pyramid:

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

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

where A is the area of the triangle and H is the height of the pyramid.

Substituting the values, we get;

$V=\frac{1}{3}(24)(12)$

$V=\frac{1}{3}(288)$

$V=96$

Thus, the volume of the pyramid is 96 cubic units.