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Surface Area and Volume of Cylinders and Rectangular Prisms

Surface Area and Volume of Cylinders and Rectangular Prisms. SA = 2lw + 2lh+ 2wh SA = 2 π r 2 + 2 π rh V = lwh V= π r 2 h. Find the volume of the rectangular prism. a = 10in. b = 15 in. c = 20 in. Answer. V = 20 x 10 x 15 = 3,000 in 3.

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Surface Area and Volume of Cylinders and Rectangular Prisms

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  1. Surface Area and Volume of Cylinders and Rectangular Prisms SA = 2lw + 2lh+ 2wh SA = 2πr2 + 2πrh V = lwh V= πr2h

  2. Find the volume of the rectangular prism. a = 10in. b = 15 in. c = 20 in.

  3. Answer V = 20 x 10 x 15 = 3,000 in3

  4. A cylinder has a radius of 8 inches and a height of 12 inches. What are the volume and surface area of this cylinder?

  5. Answer V = 3.14 x 64 x 12 = 2,411.52 in3 SA = 2 x 3.14 x 64 + 2 x 3.14 x 8 x 12 = 401.92 + 602.88 = 1,004.8 in2

  6. Find the surface area of a cube if each side is 10 cm.

  7. Answer SA = 2x10x10 + 2x10x10 + 2x10x10 = 200 + 200 + 200 = 600 cm2

  8. Find the surface area.

  9. Answer When a formula calls for the radius, be sure that you are working with the radius and not the diameter.  In this problem, 12 is the diameter (radius = 6). SA = 2 x 3.14 x 36 + 2 x 3.14 x 6 x 12 = 226.08 + 452.16 = 678.24 in2

  10. Find the volume.

  11. Answer When a formula calls for the radius, be sure that you are working with the radius and not the diameter.  In this problem, 12 is the diameter (radius = 6). V = 3.14 x 36 x 16 = 1,808.64 in3

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