Pyramid Volume Formula

The formula for volume of a pyramid is given as:

V = ¹⁄₃lwh

Where V is the volume, l is the base's length, w is the base's width, and h is the height of the prism.

Volume of a Pyramid Example Problems

Let's go through a couple of example problems together to practice finding the volume of a pyramid.

Example Problem 1

Find the volume of a pyramid with a base length of 6, base width of 6, and prism height of 3.

Solution:

1. Let's plug the given dimensions into the volume formula. This gives us:
2. V = ¹⁄₃lwh
3. V = ¹⁄₃(6)(6)(3) = 36
4. The volume is 36.

Example Problem 2

Find the volume of a pyramid with a base length of 3, base width of 6, and a height of 10.

Solution:

1. Let's plug the given dimensions into the volume formula. This gives us:
2. V = ¹⁄₃lwh
3. V = ¹⁄₃(3)(6)(10) = 60
4. The volume is 60.