1. 10-5: Surface Area of Pyramid and Cone
Do NOW
In a complete page, discuss the similarities and differences between a two-dimensional (known as Euclidean geometry) and a three-dimensional figure. On the top right hand side, you must put your name, date, and period. This will be a grade and will be picked up today.
1/1/2019 6:50 AM
10-5: Surface Area of Pyramid and Cone

2. 10-5: Surface Area of Pyramid and Cone
Page 685
16)
LSA = 77π in2
SA = 137.5π in2
17)
LSA = 184π cm2
SA = 216π cm2
18)
LSA = 384π yd2
SA = 512π yd2
19)
S = π cm2
20)
S = π ft2
21)
Surface Area is multiplied by 9
24)
h = 11ft
33)
Radius and height are multiplied by 1/2
1/1/2019 6:50 AM
10-5: Surface Area of Pyramid and Cone

3. 10-5: Surface Area of Pyramid and Cone

4. 10-5: Surface Area of Pyramid and Cone
Fiesta
1/1/2019 6:50 AM
10-5: Surface Area of Pyramid and Cone

5. Volume of a Cylinder and Prisms
Section 10-6
Geometry PreAP, Revised ©2014
1/1/2019 6:50 AM
10-5: Surface Area of Pyramid and Cone

6. First Pondering Question
…What is the difference between surface area and volume? Take two minutes to think about it. Jot down ideas, thoughts, or just questions you have, in which you remembered back in prior years
1/1/2019 6:50 AM
10-5: Surface Area of Pyramid and Cone

7. 10-5: Surface Area of Pyramid and Cone
Surface Area vs. Volume
Surface Area is Outside of the box, i.e. Wrapping Paper where Volume is the amount inside of the 3D Box
Surface area is the area of a two dimensional surface while volume is the amount of space taken up by a three dimensional object.
Surface area is measured in square feet or inches where volume is measured in cubic inches or feet
1/1/2019 6:50 AM
10-5: Surface Area of Pyramid and Cone

8. 10-5: Surface Area of Pyramid and Cone
Volume
Etc
1/1/2019 6:50 AM
10-5: Surface Area of Pyramid and Cone

9. 10-5: Surface Area of Pyramid and Cone
Volume
Area of the base, B
Number of cubes in the base = (2)(4) = 8 cubes
Height of prism, h
Since the prism is 3 layers high, V = (8)(3) = 24 cubes3
1/1/2019 6:50 AM
10-5: Surface Area of Pyramid and Cone

10. Volume Formulas for Cylinders
Volume of a Right Cylinder: V = πr2h where r is the radius and h is the height of the figure
1/1/2019 6:50 AM
10-5: Surface Area of Pyramid and Cone

11. Second Pondering Question
Which would carry more volume, a sheet that is horizontal or a sheet that is vertical? DO NOT BLURT OUT THE ANSWER.
1/1/2019 6:50 AM
10-5: Surface Area of Pyramid and Cone

12. 10-5: Surface Area of Pyramid and Cone
Separate into 2 Groups
Left side of the room: Horizontal Sheet Right side of the room: Vertical Sheet Middle of the room: Even
Left
Right
1/1/2019 6:50 AM
10-5: Surface Area of Pyramid and Cone

13. 10-5: Surface Area of Pyramid and Cone
Demonstration
1/1/2019 6:50 AM
10-5: Surface Area of Pyramid and Cone

14. 10-5: Surface Area of Pyramid and Cone
Example 1
Find the volume of the cylinder. Give your answers in terms of 
1/1/2019 6:50 AM
10-5: Surface Area of Pyramid and Cone

15. 10-5: Surface Area of Pyramid and Cone
Example 2
The volume of a cylinder is cm3. The height is 9.8 cm. What is the radius? Show all work and round decimals to 4 places, if necessary.
1/1/2019 6:50 AM
10-5: Surface Area of Pyramid and Cone

16. 10-5: Surface Area of Pyramid and Cone
Example 3
The radius and height of the cylinder are multiplied by 2/3. Describe the effect on the volume.
1/1/2019 6:50 AM
10-5: Surface Area of Pyramid and Cone

17. 10-5: Surface Area of Pyramid and Cone
Your Turn
What is the difference between the volume and surface area of a cone if the height measures 26 yards and the diameter is 20 yards? Leave answers in π.
1/1/2019 6:50 AM
10-5: Surface Area of Pyramid and Cone

18. Volume Formulas for Prisms
Volume of a Prism: V = Bh where B is the area of the base and h is the height of the figure
Volume of a Cube: V = s3 where s stands for sides
1/1/2019 6:50 AM
10-5: Surface Area of Pyramid and Cone

19. 10-5: Surface Area of Pyramid and Cone
Example 4
Find the volume of the prism. Round to 4 digits, if necessary.
1/1/2019 6:50 AM
10-5: Surface Area of Pyramid and Cone

20. 10-5: Surface Area of Pyramid and Cone
Example 5
Find the volume of the prism. Round to 4 digits, if necessary.
1/1/2019 6:50 AM
10-5: Surface Area of Pyramid and Cone

21. 10-5: Surface Area of Pyramid and Cone
Your Turn
Find the volume of the prism. Round to 4 digits, if necessary.
1/1/2019 6:50 AM
10-5: Surface Area of Pyramid and Cone