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Chapter 10 Lesson 5 Objective: To find the volume of a prism.

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Theorem 10-6 Volume of a Prism Volume HeightBase Area h Remember the “Base Area” formula will be determined by the base shape.

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Volume of a Prism length width height Volume = length x width x height

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Example 1: Volume of a Prism What is the volume of a prism with dimensions 10 cm, 8 cm and 5 cm. 5 cm 10 cm 8 cm Volume = length x width x height Volume = 10 x 8 x 5 Volume = 400 cm 3

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Example 2: Volume of a Prism 10 cm 4 cm 2 cm What is the volume of the prism? V = l x w x h V = 4 x 2 x 10 V = 80 cm 3

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Example 3: Volume of a Rectangular Prism What is the volume of the prism? V = ℓwh = (13)(3)(5) = 195 cm 3

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Example 4: Volume of a Triangular Prism 4 cm 5 cm 14 cm Volume = ½ (length x width) x height Volume = ½ (5 x 4) x 14 Volume = ½ (20) x 14 Volume = 10 x 14 Volume = 140cm 3 Find the volume of the triangular prism.

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12 cm 5 cm 3 cm4 cm 5 cm 3 cm h Volume = ½ (length x width) x height Volume = ½ (3 x 4) x 12 Volume = ½ (12) x 12 Volume = 6 x 12 Example 5: Volume of a Triangular Prism

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8.6cm 6.2cm 4.1cm 4.9cm Find the volume of the triangular prism. Example 6: Volume of a Triangular Prism Volume = ½ (length x width) x height Volume = ½ (8.6 x 4.1) x 6.2 Volume = ½ (35.26) x 6.2 Volume = 17.63 x 6.2 Volume = 109.3 cm 3

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Assignment Page 547 #1-8

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