1. Geometry 11.6 Volume of Pyramids
EQ: Why would someone need to know the volume of a Pyramid?

2. Geometry 11.6 Volume of Pyramids
Goals
Find the volume of pyramids.
Solve problems using volume.
January 15, 2019
Geometry 11.6 Volume of Pyramids

3. Geometry 11.6 Volume of Pyramids
Tempe City Hall
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Geometry 11.6 Volume of Pyramids

4. Geometry 11.6 Volume of Pyramids
Governor G. Hunt (1859 – 1934)
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Geometry 11.6 Volume of Pyramids

5. Luxor Hotel, Las Vegas NV
Pyramid Arena, Memphis TN
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Geometry 11.6 Volume of Pyramids

6. Geometry 11.6 Volume of Pyramids
Volume of a Pyramid
Volume of the Prism
V = Bh
Volume of the Pyramid
January 15, 2019
Geometry 11.6 Volume of Pyramids

7. Example 1 Find the volume.8 6
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Geometry 11.6 Volume of Pyramids

8. Example 2 Find the volume.12 10 10
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Geometry 11.6 Volume of Pyramids

9. Geometry 11.6 Volume of Pyramids
Example 2 Solution ? h 12 5 10 10
January 15, 2019
Geometry 11.6 Volume of Pyramids

10. Geometry 11.6 Volume of Pyramids
Example 2 Solution
Solve for h:
10.91 h 12 5 10 10
January 15, 2019
Geometry 11.6 Volume of Pyramids

11. Geometry 11.6 Volume of Pyramids
Example 2 Solution
Solve for V:
10.91 12 5 10 10
January 15, 2019
Geometry 11.6 Volume of Pyramids

12. Geometry 11.6 Volume of Pyramids
Example 3 Find the volume of the pyramid with a regular hexagonal base.
h = 15 6
January 15, 2019
Geometry 11.6 Volume of Pyramids

13. Geometry 11.6 Volume of Pyramids
Example 3 Solution
Area of the base:
h = 15 6 6 3
January 15, 2019
Geometry 11.6 Volume of Pyramids

14. Geometry 11.6 Volume of Pyramids
Example 3 Solution
Area of the base:
h = 15 6
January 15, 2019
Geometry 11.6 Volume of Pyramids

15. Geometry 11.6 Volume of Pyramidsh
January 15, 2019
Geometry 11.6 Volume of Pyramids

16. Geometry 11.6 Volume of Pyramids
Find the volume 12 14
January 15, 2019
Geometry 11.6 Volume of Pyramids

17. Find the volume of a similar solid.
The two pyramids are similar.
The ratio of volume is the ratio of sides cubed.
January 15, 2019
Geometry 11.6 Volume of Pyramids