Volume of Pyramids

Lesson 20

Find the volume of each prism.

1.

2.

Target: Calculate the volume of pyramids.

The volume of a pyramid is equal to one-third of theproduct of the base area (B) and the height (h).

ht)base)(heig theof (area3

1V

3Vor

3

1V

BhBh

A 15-foot tall pentagonal pyramid has a base area of 38square feet. Find the volume of the pyramid.

Write the formula needed.

Substitute known values.

Multiply.

The volume of the pyramid is 190 cubic feet.

)15)(38(3

1V

Bh3

1V

190V

Crystal received an award for being an outstanding hospitalpatient. The award was a square pyramid shape. The base ofthe pyramid was 8 cm on each side. It was 10 cm tall. Find the volume of the award. Round to the nearest whole number.

Find the area of the base. B = 8(8) = 64

Write the formula needed.

Substitute all known values.

Multiply, then round.

The volume of Crystal’s award was a little more than 213 cm3.

)10)(64(3

1V

Bh3

1V

2133.213V

1. Find the volume of a pyramid with a base area of 297 square inches and a height of 19 inches.

2. Find the volume of the pyramid shown below.

Your best friend was absent from math class today. Write them a note about the volume of a pyramid, so they will be able to complete the assignment on their own. 

Why do you think foods are not often packaged in pyramidal packages ?