1. Splash Screen

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

3. KC

4. Find the Volumes of Prisms
Find the volume of the rectangular prism.
Volume of a prism
Simplify.
Answer: The volume is 385 cubic inches.
Example 1

5. Find the volume of the rectangular prism.
A. 90 in3
B. 120 in3
C. 126 in3
D. 148 in3 A B C D
Example 1

6. Find the Volumes of Prisms
Find the volume of the triangular prism.
Volume of a prism
The base is a triangle, so B =
The height of the prism is 4.
Simplify.
Answer: The volume is 270 cubic feet.
Example 2

7. Find the volume of the triangular prism.
A. 22 ft3
B. 30 ft3
C. 37 ft3
D. 45 ft3 A B C D
Example 2

8. KC

9. Find the Volume of a Cylinder
Find the volume of the cylinder. Round to the nearest tenth.
Volume of a cylinder
Replace r with 3 and h with 12.
V ≈ Simplify.
Answer: The volume is about cubic centimeters.
Example 3

10. Find the volume of the cylinder. Round to the nearest tenth.
A in3
B in3
C in3
D in3 A B C D
Example 3

11. Find the Volume of a Composite Solid
TOYS A wooden block has a single hole drilled entirely through it. What is the volume of the block? Round to the nearest hundredth.
The block is a rectangular prism with a cylindrical hole. To find the volume of the block, subtract the volume of the cylinder from the volume of the prism.
Example 4

12. Find the Volume of a Composite Solid
Rectangular Prism
Cylinder ≈
Answer: The volume of the box is about 72 – 9.42 or cubic centimeters.
Example 4

13. HOBBIES A small wooden cube has been glued to a larger wooden block for a whittling project. What is the volume of the wood to be whittled?
A. 98 in3
B. 104 in3
C. 112 in3
D. 115 in3 A B C D
Example 4

14. End of the Lesson
End of the Lesson