Question

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

the area of the base first.
112
Enter your answer as a number with no units.

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=(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=(1)/(2)(8)(6)`

`A=(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=(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=(1)/(3)(24)(12)`

`V=(1)/(3)(288)`

`V=96`

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