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10.2 Volume Standard: MG 3.0 Objective: Find the volume of prisms and cylinders.

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Prisms A prism is a 3-D figure that has two parallel congruent sides which are called bases. A prism is classified by the shape of its bases. There are two basic types of prisms: Rectangular Triangular A rectangular prism has rectangles as bases. A triangular prism has triangles as bases.

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Cylinders A cylinder is a 3-D figure that has two parallel and congruent circular bases. The altitude or height is the distance between the bases. For a cylinder, the height is the distance between the circular regions. Some examples of cylinders are: Pop cans Stack of quarters Paper towel rolls

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Volume the amount of space it encloses or howDefinition: The volume of a three dimensional figure is the amount of space it encloses or how much to fill it up. much to fill it up. multiply the area of the base times the height of the 3-D object.To find the volume of a right prism or cylinder, multiply the area of the base times the height of the 3-D object.

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l w Alt. b h r Formulas V = l w hV = (½bh)H V = (π r 2 )h

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Find the volume of the cube shown. V = l w h 5 cm

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Find the volume of the rectangular prism. V = l w h 4 in. 3 in. 3 in. 8 in.

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Find the volume. 10 5 7 V = B Alt. V = (l w) Alt. V = (10 5) 7

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8 9 V = B Alt. Find the volume of the cylinder below.

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Practice V = l w h1) Find the volume of the rectangular prism. 9 in. 5 in. 5 in. 15 in.

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Practice V = l w h2) Find the volume of the rectangular prism. 10 in. 8 in. 8 in. 21 in.

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Practice 3) Find the volume of the cylinder. V = ( π r 2 ) h π = 3.14 r = 2 h = 7 2 7

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Practice 4) Find the volume of the cylinder. V = ( π r 2 ) h π = 3.14 r = 3 h = 10 3 10 10

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