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Warm up

Vertices:. edges:. Bases:. Warm up. 1. Classify the figure. Name the vertices, edges, and bases. . Objectives. Learn and apply the formula for the volume of a prism/cylinder. Learn and apply the formula for the surface area of a prism/cylinder. Example 1: Finding SA and Volume of Prisms.

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Warm up

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  1. Vertices: edges: Bases: Warm up 1. Classify the figure. Name the vertices, edges, and bases.

  2. Objectives Learn and apply the formula for the volume of a prism/cylinder. Learn and apply the formula for the surface area of a prism/cylinder.

  3. Example 1: Finding SA and Volume of Prisms Find the surface area and volume of the prism. Round to the nearest tenth, if necessary.

  4. Example 2: Finding SA and Volume of Prisms Find the surface area and volume of a cube with edge length 15 in. Round to the nearest tenth, if necessary.

  5. You Try! Example 3 Find the surface area and 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.

  6. Example 4: Finding Surface Area and Volume of Cylinders Find the surface area and volume of the cylinder. Give your answers in terms of  and rounded to the nearest tenth.

  7. Example 5: Finding Volumes of Cylinders Find the surface area and 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. You Try! Example 6 Find the surface area and volume of a cylinder with a diameter of 16 in. and a height of 17 in. Give your answer both in terms of π and rounded to the nearest tenth.

  9. Example 7: Recreation Application A swimming pool is a rectangular prism. Estimate the volume of water in the pool in gallons when it is completely full (Hint: 1 gallon ≈ 0.134 ft3). The density of water is about 8.33 pounds per gallon. Estimate the weight of the water in pounds.

  10. Example 8: Painting Application You are using the cylindrical stencil roller below to paint patterns on your floor. What area does the roller cover in one full turn? If you’re stenciling a border around the ceiling in a room that is 12’ by 10’, what area is covered by the stencil?

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