Surface Area and Volume of Prisms

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Presentation transcript:

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.

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

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

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

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

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

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

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

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