1. Saxon Math:
Course 3
Lesson #76 :Volume of Prisms and Cylinders

2. “Do Now”
• Read Saxon Math Book pages 508 - 510
• Define: (Write the bolded definitions in your
own words)
1. Volume
2. Base of a Prism
3. Height of a Prism
2. Answer the following Questions
1. How do you find the volume of a prism?
2. Why is it helpful to sketch/draw the base
of a prism when finding its volume?

3. Homework
• SMB Lesson 76
• Ask Leyonne :)
• 2, 3, 5 - 10, 14 - 16, 21, 25

4. Homework Questions
No homework last night! Hooraw!

5. Homework Questions
No homework last night! Hooraw!

6. Agenda
Pre-Reading --- 10 minutes
HW Questions --- 0 minutes
Expectations --- 3 minutes
Volume of Prisms --- 33 minutes
Worksheet --- 12 minutes
Review Transformations --- 10 minutes
Study Check --- 15 minutes

7. Class Expectations
• Taking Notes
• Write Everything that is in RED
• Clipboard Checks
• Sentence Detention

8. Lesson 76: Volume of
Prisms and Cylinders
• Lesson Objectives:
1. I will be able to use the formula V = Bh
to calculate the volumes of prisms and
cylinders
2. I will be able to compare the volumes of
similar solids

9. Lesson Agenda
Parts of a Prism --- 8 minutes
Volume of Prisms --- 6 minutes
Volume of Cylinders --- 4 minutes

10. Parts of a Prism
3 ft 3 ft
7 in.
5 in. 5 ft
5 in. 12 in.
16 ft
3 in. 10 ft
4 in. 20 ft

11. Parts of a Prism
• Base of a Prism - Your Definitions!
3 ft 3 ft
7 in.
5 in. 5 ft
5 in. 12 in.
16 ft
3 in. 10 ft
4 in. 20 ft

12. Parts of a Prism
• Base of a Prism - Your Definitions!
• the parallel surfaces at opposite ends of
a figure
3 ft 3 ft
7 in.
5 in. 5 ft
5 in. 12 in.
16 ft
3 in. 10 ft
4 in. 20 ft

13. Parts of a Prism
• Base of a Prism - Your Definitions!
• the parallel surfaces at opposite ends of
a figure
• the shape that looks stretched
3 ft 3 ft
7 in.
5 in. 5 ft
5 in. 12 in.
16 ft
3 in. 10 ft
4 in. 20 ft

14. Parts of a Prism
• Base of a Prism - Your Definitions!
• the parallel surfaces at opposite ends of
a figure
• the shape that looks stretched
• Sketch the base of the following 3-D shapes 3 ft 3 ft
7 in.
5 in. 5 ft
5 in. 12 in.
16 ft
3 in. 10 ft
4 in. 20 ft

15. Parts of a Prism
• Base of a Prism - Your Definitions!
• the parallel surfaces at opposite ends of
a figure
• the shape that looks stretched
• Sketch the base of the following 3-D shapes 3 ft 3 ft
7 in.
5 in. 5 ft
5 in. 12 in.
16 ft
3 in. 10 ft
4 in. 20 ft

16. Parts of a Prism
• Base of a Prism - Your Definitions!
• the parallel surfaces at opposite ends of
a figure
• the shape that looks stretched
• Sketch the base of the following 3-D shapes 3 ft 3 ft
7 in.
5 in. 5 ft
5 in. 12 in.
16 ft
3 in. 10 ft
4 in. 20 ft

17. Parts of a Prism
• Base of a Prism - Your Definitions!
• the parallel surfaces at opposite ends of
a figure
• the shape that looks stretched
• Sketch the base of the following 3-D shapes 3 ft 3 ft
7 in.
5 in. 5 ft
5 in. 12 in.
16 ft
3 in. 10 ft
4 in. 20 ft

18. Parts of a Prism
• Bases are highlighted in RED
3 ft 3 ft
7 in.
5 in. 5 ft
5 in. 12 in.
16 ft
3 in. 10 ft
4 in. 20 ft

19. Parts of a Prism
• Height of a Prism - Your Definitions!
• perpendicular distance between the
bases
• how far the base is “stretched”
• Determine the height of the following 3-D
shapes 3 ft 3 ft
7 in.
5 in. 5 ft
5 in. 12 in.
16 ft
3 in. 10 ft
4 in. 20 ft

20. Parts of a Prism
• Height of a Prism - Your Definitions!
• perpendicular distance between the
bases
• how far the base is “stretched”
• Determine the height of the following 3-D
shapes 3 ft 3 ft
7 in.
5 in. 5 ft
5 in. 12 in.
16 ft
3 in. 10 ft
4 in. 20 ft

21. Parts of a Prism
• Height of a Prism - Your Definitions!
• perpendicular distance between the
bases
• how far the base is “stretched”
• Determine the height of the following 3-D
shapes 3 ft 3 ft
7 in.
5 in. 5 ft
5 in. 12 in.
16 ft
3 in. 10 ft
4 in. 20 ft

22. Parts of a Prism
• Height of a Prism - Your Definitions!
• perpendicular distance between the
bases
• how far the base is “stretched”
• Determine the height of the following 3-D
shapes 3 ft 3 ft
7 in.
5 in. 5 ft
5 in. 12 in.
16 ft
3 in. 10 ft
4 in. 20 ft

23. Parts of a Prism
• Height is in RED
3 ft 3 ft
7 in.
5 in. 5 ft
5 in. 12 in.
16 ft
3 in. 10 ft
4 in. 20 ft

24. Group Practice
• Sketch the base and determine the height
for each of the following 3-D figures
13 cm.
3 in. 5 cm.
3 in. 15 cm.
2 in.
7 in.
4 in. 12 cm.
2.5 ft 2.5 ft
0.25 m.
3.54 ft
1.74 m
8 ft 3 ft
10.5 ft

25. Group Practice
• Sketch the base and determine the height
for each of the following 3-D figures
13 cm.
3 in. 5 cm.
3 in. 15 cm.
2 in.
7 in.
4 in. 12 cm.
2.5 ft 2.5 ft
0.25 m.
3.54 ft
1.74 m
8 ft 3 ft
10.5 ft

26. Group Practice
(Answers)
3 in. 13 cm.
5 cm.
2 in.
12 cm.
4 in.
h = 7 in. h = 15 cm.
2.5 ft 2.5 ft
0.25 m.
8 ft 3 ft
10.5 ft
h = 1.74 m. h = 3.54 ft.

27. Group Practice
(Answers)
3 in. 13 cm.
5 cm.
2 in.
12 cm.
4 in.
h = 7 in. h = 15 cm.
2.5 ft 2.5 ft
0.25 m.
8 ft 3 ft
10.5 ft
h = 1.74 m. h = 3.54 ft.

28. Volume of Prisms

29. Volume of Prisms

30. Volume of Prisms
why is the B capitalized?

31. Volume of Prisms
why is the B capitalized?

32. Volume of a Prism
• Step #1: Sketch Base
• Step #2: Determine height
• Step #3: Find area of Base
• Step #4: Multiply Base Area and height
Find the Volume of the following shape
7 in.
7 in.
5 in. 9 in.
4 in.

33. Volume of a Prism
• Step #1: Sketch Base
• Step #2: Determine height
• Step #3: Find area of Base
• Step #4: Multiply Base Area and height
Find the Volume of the following shape
7 in.
7 in.
5 in. 9 in.
4 in.

34. Volume of a Cylinder
(Example)
• Find the volume of the following cylinder
5 cm.
6.05 cm.

35. Volume Group Practice
• Saxon Math Book p. 511
• a-d
• When you are done, raise your hand, and I
will hand out the worksheet

36. Group Practice
Answers
• a)105 ft
3
• b) 940 ft 3
• c) 4000 ft 3
• d) 240 cm 3

37. Worksheet
• Try to do every problem by yourself
• If in doubt, ask your partner
• If you and your partner are in doubt, raise
your hand

38. Study Check
• Investigation #5: Graphing Transformations