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Warm-up Find the surface area of a regular pentagonal pyramid.

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Presentation on theme: "Warm-up Find the surface area of a regular pentagonal pyramid."— Presentation transcript:

1 Warm-up Find the surface area of a regular pentagonal pyramid

2 Volume of a Solid The number of cubic units contained in the interior of a solid.

3 Volume of prism, cylinder = area of base x height V = Bh or V = ∏r 2 h

4 Find the volume to the nearest tenth. V=Bh 3. V = 6(13)(3) V = 234 in 3

5 Volume Congruence Postulate The volume of a solid is the sum of the volumes of all its non-overlapping parts. Volume Addition Postulate If two polyhedra are congruent, then they have the same volume.

6 Cavalieri’s Principle If two solids have the same height and the same cross-sectional area at every level, then they have the same volume.

7 Use the Cavalieri’s Principle to find the volume of the oblique prism or cylinder.


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