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

2. KC

3. 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

4. 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

5. 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

6. 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

7. KC

8. 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

9. 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

10. 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

11. 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

12. 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

13. In the figure shown, identify a plane parallel to plane ABCD.
(over Lesson 7-4)
In the figure shown, identify a plane parallel to plane ABCD.
A. plane EFGH
B. plane DHGF
C. plane BCGH
D. plane ABCE A B C D
Five Minute Check 1

14. In the figure shown, identify a line skew to AB.
(over Lesson 7-4)
In the figure shown, identify a line skew to AB.
A. AH
B. DE
C. FG
D. EG A B C D
Five Minute Check 2

15. (over Lesson 7-4)
In the figure shown, identify two points that form a diagonal when connected.
A. points E and F
B. points A and B
C. points A and E
D. points E and C A B C D
Five Minute Check 3

16. A. cube; 6 faces, all squares; 12 edges; 8 vertices
(over Lesson 7-4)
Identify the solid shown. Name the number and shapes of the faces. Then name the number of edges and vertices.
A. cube; 6 faces, all squares; 12 edges; 8 vertices
B. cube; 4 faces, all squares; 12 edges; 8 vertices
C. cube; 4 faces, all squares; 8 edges; 12 vertices
D. cube; 6 faces, all squares; 8 edges; 12 vertices A B C D
Five Minute Check 4

17. A. rectangular prism; 4 faces, all rectangles; 12 edges; 8 vertices
(over Lesson 7-4)
Identify the solid shown. Name the number and shapes of the faces. Then name the number of edges and vertices.
A. rectangular prism; 4 faces, all rectangles; 12 edges; 8 vertices
B. rectangular prism; 4 faces, all rectangles; 8 edges; 12 vertices
C. rectangular prism; 6 faces, all rectangles; 12 edges; 8 vertices
D. rectangular prism; 6 faces, all rectangles; 8 edges; 12 vertices A B C D
Five Minute Check 5

18. Which of the following is represented by a point?
(over Lesson 7-4)
Which of the following is represented by a point?
A. face
B. vertex
C. base
D. edge A B C D
Five Minute Check 6

19. End of Custom Shows