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Surface Area and Volume of Prisms

Surface Area and Volume of Prisms. Mr. Bench PVMS. Objectives. 1. Identify the parts of a . prism. 2. Find the lateral and total . surface area and volume . of a prism. B = surface area of 1 of the bases. P = Perimeter. h = height. Prism Terms.

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Surface Area and Volume of Prisms

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  1. Surface Area and Volume of Prisms Mr. Bench PVMS

  2. Objectives 1. Identify the parts of a . prism 2. Find the lateral and total . surface area and volume . of a prism.

  3. B = surface area of 1 of the bases P = Perimeter h = height Prism Terms L = lateral area - sum of each lateral face (doesn’t include area of bases)

  4. height Perimeter L = Ph T = P h + 2B

  5. 4 Find the total surface area of the right quadrilateral prism. 10 3 Example T = Ph + 2B T = 14(10) + 2(12) T = 140 + 24 T = 164

  6. 2 10 Find the surface area of the regular oblique hexagonal prism. T = Ph + 2B B = 10.4 T = 120 + 2B T = 120 + 20.8 T = 140.8

  7. Find the surface area of the prism. 12 3 4 Quick Quiz A = Ph + 2B A = 14(12) + 2(12) Surface Area = 192 sq. units

  8. Find the surface area of the right triangular prism. 5 3 2 4 Quick Quiz A = Ph + 2B A =(12)2 + 12 Surface Area = 36 sq. units

  9. 7 12 7 Volume The amount of space in a figure V = Bh V = (Area of base) h 49(12) 588 units3

  10. Volume V = Bh V = (1/2bh)h V = (1/2(15h)10 152 + h2 = 252 25 h = 20 V = (1/2)15(20)10 10 V = 1500 units3 15

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