1. Volume of Composite Solids
Lesson 22
Surface Area & Volume
Volume of Composite Solids

2. Warm-Up Write the volume formula for each solid. Square prism
Rectangular prism
Triangular pyramid
Cylinder
Cone
Pentagonal pyramid

3. Volume of Composite Solids
Target: Calculate the volume of composite solids.

4. Vocabulary Composite solid: A solid made of two or more three-
dimensional geometric figures.

5. Volume of Composite Solids
Identify the different types of solids in the figure.
Calculate the volume of each solid.
Find the sum of the volumes.

6. Example 1 Find the volume of the composite solid. Use 3.14 for π.
This composite figure is made of a cylinder and a cone.
Write each formula.
Substitute known values.
Find the value of the power.
Multiply.
Find the sum of the volumes. V ≈ = 62.8
The volume of the solid is about 62.8 ft3.

7. Example 2 Find the approximate remaining volume
when a cylindrical hole is drilled out of
the prism. Use 3.14 for .
This prism is made of a prism and with a cylinder removed.
Write the formulas needed.
Substitute known values.
Find the value of the power.
Multiply.
Find the difference of the volumes. V ≈ 512 – ≈
The remaining volume is about cm3.

8. Exit Problem
Find the volume of the composite solid.
Use 3.14 for .

9. Communication Prompt
Draw a diagram of your own composite solid then explain how to find the volume of it.
Are there any shortcuts for finding the volume of composite solids?