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Warm-up

Warm-up. Find the surface area of a regular pentagonal pyramid. Volume of a Solid. The number of cubic units contained in the interior of a solid. Volume of prism, cylinder = area of base x height. V = Bh or V = ∏r 2 h. V = Bh. Find the volume to the nearest tenth. V=Bh. 3.

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Warm-up

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  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. Volumeof prism, cylinder = area of base x height V = Bh or V = ∏r2h V = Bh

  4. Find the volume to the nearest tenth. • V=Bh 3. V = 6(13)(3) V = 234 in3

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

  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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