Geometry 11.6 Volume of Pyramids

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Presentation transcript:

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

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

Geometry 11.6 Volume of Pyramids Tempe City Hall January 15, 2019 Geometry 11.6 Volume of Pyramids

Geometry 11.6 Volume of Pyramids Governor G. Hunt (1859 – 1934) January 15, 2019 Geometry 11.6 Volume of Pyramids

Luxor Hotel, Las Vegas NV Pyramid Arena, Memphis TN January 15, 2019 Geometry 11.6 Volume of Pyramids

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

Example 1 Find the volume. 8 6 January 15, 2019 Geometry 11.6 Volume of Pyramids

Example 2 Find the volume. 12 10 10 January 15, 2019 Geometry 11.6 Volume of Pyramids

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

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

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

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

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

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

Geometry 11.6 Volume of Pyramids h January 15, 2019 Geometry 11.6 Volume of Pyramids

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

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