<u>Given</u>:
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.
<u>Area of the triangle:</u>
The area of the triangle can be determined using the formula,
where b is the base of the triangle and h is the height of the triangle.
Substituting the values, we get;
Thus, the area of the triangle is 24 square units.
<u>Volume of the pyramid:</u>
The volume of the pyramid can be determined using the formula,
where A is the area of the triangle and H is the height of the pyramid.
Substituting the values, we get;
Thus, the volume of the pyramid is 96 cubic units.