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Surface Areas and Volumes of Prisms and Cylinders

Surface Areas and Volumes of Prisms and Cylinders. The net of a right prism can be drawn so that the lateral faces form a rectangle with the same height as the prism. The base of the rectangle is equal to the perimeter of the base of the prism. LA = 2( hw ) + 2( lh )

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Surface Areas and Volumes of Prisms and Cylinders

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  1. Surface Areas and Volumes of Prisms and Cylinders

  2. The net of a right prism can be drawn so that the lateral faces form a rectangle with the same height as the prism. The base of the rectangle is equal to the perimeter of the base of the prism. LA = 2(hw) + 2(lh) SA = 2(lw) + 2(hw) + 2(lh)

  3. Example: Finding Lateral Areas and Surface Areas of Prisms Find the lateral area and surface area of the right rectangular prism. Round to the nearest tenth, if necessary.

  4. Example: Finding Lateral Areas and Surface Areas of Right Cylinders Find the lateral area and surface area of the right cylinder. Give your answers in terms of .

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

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

  7. Lesson Quiz: Part I Find the surface area of each figure. Round to the nearest tenth, if necessary. 1. a right rectangular prism with length 14 cm, width 11 cm, and height 18 cm 2. a cube with edge length 22 ft 3. a cylinder with diameter 16 in. and height 7 in. SA = 1208 cm2 SA = 2904 ft2 SA 753.98in2

  8. Lesson Quiz: Part I Find the volume of each figure. Round to the nearest tenth, if necessary. 1. a right rectangular prism with length 14 cm, width 11 cm, and height 18 cm 2. a cube with edge length 22 ft 3. a cylinder with diameter 16 in. and height 7 in. V = 2772 cm3 V = 10,648 ft3 V 1407.4 in3

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