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# Smc3 direct - lesson #76 - volume of prisms and cylinders

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• ### Smc3 direct - lesson #76 - volume of prisms and cylinders

1. 1. Saxon Math: Course 3Lesson #76 :Volume of Prisms and Cylinders
2. 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 Prism2. 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. 3. Homework• SMB Lesson 76• Ask Leyonne :) • 2, 3, 5 - 10, 14 - 16, 21, 25
4. 4. Homework Questions No homework last night! Hooraw!
5. 5. Homework Questions No homework last night! Hooraw!
6. 6. Agenda Pre-Reading --- 10 minutes HW Questions --- 0 minutes Expectations --- 3 minutes Volume of Prisms --- 33 minutes Worksheet --- 12 minutesReview Transformations --- 10 minutes Study Check --- 15 minutes
7. 7. Class Expectations• Taking Notes • Write Everything that is in RED• Clipboard Checks• Sentence Detention
8. 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. 9. Lesson Agenda Parts of a Prism --- 8 minutes Volume of Prisms --- 6 minutesVolume of Cylinders --- 4 minutes
10. 10. Parts of a Prism 3 ft 3 ft 7 in. 5 in. 5 ft5 in. 12 in. 16 ft 3 in. 10 ft 4 in. 20 ft
11. 11. Parts of a Prism • Base of a Prism - Your Deﬁnitions! 3 ft 3 ft 7 in. 5 in. 5 ft5 in. 12 in. 16 ft 3 in. 10 ft 4 in. 20 ft
12. 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 ft5 in. 12 in. 16 ft 3 in. 10 ft 4 in. 20 ft
13. 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 ft5 in. 12 in. 16 ft 3 in. 10 ft 4 in. 20 ft
14. 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 ft5 in. 12 in. 16 ft 3 in. 10 ft 4 in. 20 ft
15. 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 ft5 in. 12 in. 16 ft 3 in. 10 ft 4 in. 20 ft
16. 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 ft5 in. 12 in. 16 ft 3 in. 10 ft 4 in. 20 ft
17. 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 ft5 in. 12 in. 16 ft 3 in. 10 ft 4 in. 20 ft
18. 18. Parts of a Prism• Bases are highlighted in RED 3 ft 3 ft 7 in. 5 in. 5 ft5 in. 12 in. 16 ft 3 in. 10 ft 4 in. 20 ft
19. 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 ft5 in. 12 in. 16 ft 3 in. 10 ft 4 in. 20 ft
20. 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 ft5 in. 12 in. 16 ft 3 in. 10 ft 4 in. 20 ft
21. 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 ft5 in. 12 in. 16 ft 3 in. 10 ft 4 in. 20 ft
22. 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 ft5 in. 12 in. 16 ft 3 in. 10 ft 4 in. 20 ft
23. 23. Parts of a Prism • Height is in RED 3 ft 3 ft 7 in. 5 in. 5 ft5 in. 12 in. 16 ft 3 in. 10 ft 4 in. 20 ft
24. 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. 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. 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 fth = 1.74 m. h = 3.54 ft.
27. 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 fth = 1.74 m. h = 3.54 ft.
28. 28. Volume of Prisms
29. 29. Volume of Prisms
30. 30. Volume of Prisms why is the B capitalized?
31. 31. Volume of Prisms why is the B capitalized?
32. 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. 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. 34. Volume of a Cylinder (Example)• Find the volume of the following cylinder 5 cm. 6.05 cm.
35. 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. 36. Group Practice Answers• a)105 ft 3• b) 940 ft 3• c) 4000 ft 3• d) 240 cm 3
37. 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. 38. Study Check• Investigation #5: Graphing Transformations