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Learn and apply the formula for the volume of a prism.

Objectives. Learn and apply the formula for the volume of a prism. Learn and apply the formula for the volume of a cylinder. Example 1A: Finding Volumes of Prisms. Find the volume of the prism. Round to the nearest tenth, if necessary. Example 1B: Finding Volumes of Prisms.

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Learn and apply the formula for the volume of a prism.

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  1. Objectives Learn and apply the formula for the volume of a prism. Learn and apply the formula for the volume of a cylinder.

  2. Example 1A: Finding Volumes of Prisms Find the volume of the prism. Round to the nearest tenth, if necessary.

  3. Example 1B: Finding Volumes of Prisms Find the volume of the right regular hexagonal prism. Round to the nearest tenth, if necessary.

  4. Example 1C Find the volume of a triangular prism with a height of 9 yd whose base is a right triangle with legs 7 yd and 5 yd long.

  5. Cavalieri’s principle also relates to cylinders. The two stacks have the same number of CDs, so they have the same volume.

  6. Example 2A: Finding Volumes of Cylinders Find the volume of the cylinder. Give your answers in terms of  and rounded to the nearest tenth.

  7. Example 2B: Finding Volumes of Cylinders Find the volume ofa cylinder with base area 121 cm2 and a height equal to twice the radius. Give your answer in terms of  and rounded to the nearest tenth.

  8. Example 3: Finding Volumes of Composite Three-Dimensional Figures Find the volume of the composite figure. Round to the nearest tenth. The volume of the rectangular prism is: V = ℓwh = (8)(4)(5) = 160 cm3 The base area of the regular triangular prism is: The volume of the regular triangular prism is: The total volume of the figure is the sum of the volumes.

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