2. Main Idea and New Vocabulary Key Concept: Volume of a Prism
Example 1: Find the Volume of Prisms
Example 2: Find the Volume of Prisms
Key Concept: Volume of a Cylinder
Example 3: Find the Volume of a Cylinder
Example 4: Real-World Example: Find the Volume of a
Composite Solid
Lesson Menu

3. Find the volumes of prisms and cylinders.
composite solid
Main Idea/Vocabulary

4. Key Concept

5. Find the Volume of Prisms
Find the volume of the rectangular prism.
V = Bh Volume of a prism
V = (b ● w)h The base is a rectangle, so B = b ● w.
V = (5 ● 7)11 b = 5, w = 7, h = 11
V = 385 Simplify.
Answer: The volume is 385 cubic inches.
Example 1

6. Find the volume of the rectangular prism.
A. 26 mm3
B. 70 mm3
C. 133 mm3
D. 490 mm3
Example 1 CYP

7. Find the Volume of Prisms
Find the volume of the triangular prism.
V = Bh Volume of a prism
The base is a triangle, so B = ● 15 ● 9.
The height of the prism is 4.
V = 270 Simplify.
Answer: The volume is 270 cubic feet.
Example 2

8. Find the volume of the triangular prism.
A. 160 cm3
B. 208 cm3
C. 240 cm3
D. 480 cm3
Example 2 CYP

9. Key Concept 4

10. Find the Volume of a Cylinder
Find the volume of the cylinder. Round to the nearest tenth.
V = r2h Volume of a cylinder
V =  • 32 • 12 Replace r with 3 and h with 12.
V  cm3 Simplify. Use a calculator.
Answer: The volume is about cubic centimeters.
Example 3

11. Find the volume of the cylinder. Round to the nearest tenth.
A in3
B in3
C in3
D. 2,199.1 in3
Example 3 CYP

12. Find the Volume of a Composite Solid
TOYS A toy box contains a wooden block with a circular hole through its middle. Find the volume of the block.
The block is made of one rectangular prism and one cylinder. Find the volume of each solid. Then subtract to find the volume of the block.
Example 4

13. Find the Volume of a Composite Solid
Rectangular Prism
V = Bh
V = (6 • 3)4 or 72
Cylinder
V = ( • 12)3 or about 9.4
Answer: The volume of the block is about 72 – 9.4 or 62.6 cubic centimeters.
Example 4

14. PEGS A peg has a circular hole through its middle
PEGS A peg has a circular hole through its middle. Find the volume of the peg.
A cm3
B cm3
C cm3
D cm3
Example 4 CYP