Question Video: Finding the Volume of a Pentagonal Pyramid given Its Height and Its Base Area Mathematics • Second Year of Secondary School

Video Transcript

Find the volume of a pentagonal pyramid with a base area of 594 square feet and a height of eight feet.

The volume of any pyramid is calculated by multiplying a third of its base area by its height. In this example, the base area is 594, and the height is eight.

Therefore, to calculate the volume, we work out a third of 594 and multiply it by eight. One-third of 594 is 198, as 594 divided by three is 198. When we multiply 198 by eight, we get an answer of 1584.

This means that the volume of a pentagonal pyramid with a base area of 594 square feet and a height of eight feet is 1584 cubic feet.