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Volume: Prisms and Cylinders Lesson 10-7 p.538

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Volume The volume of a three-dimensional figure is the amount that fills the figure. The volume is given in cubic units.

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Volume Consider this prism. 4 in 2 in 3 in If we cut it into cubic units, it would look like this:

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Volume Consider this prism. 4 in 2 in 3 in If we cut it into cubic units, it would look like this:

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Volume Consider this prism. 4 in 2 in 3 in The common formula for finding Volume of a rectangular prism is V = lwh where l is the length, w is the width and h is the height.

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Volume Consider this prism. 4 in 2 in 3 in In this example, V = lwh = 4 (3) (2) = 24 cu. in.

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Volume Another way to look at this problem is take the area of the base (meaning bottom of the figure) and multiply it by the height. Solving in this way lets us apply the method to other shapes as well. 4 in 2 in 3 in Area of the base = l x w therefore, area of the base x height is the volume.

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Example Let’s try this method with a triangular prism Volume = area of the base x height The base is the triangle. A = bh 2 A = (8) (6) 2 A = 24 sq. ft. Volume = area of the base x height =24 x 9 = 216 cu. Ft. 8 ft 6 ft 9 ft

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Try This Find the volume: 6 in. 4 in 5 in. 3 ft 6 ft 4 ft

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Try This Find the volume: 6 in. 4 in 5 in. 3 ft 6 ft 4 ft 120 cu. in.

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Try This Find the volume: 6 in. 4 in 5 in. 3 ft 6 ft 4 ft 120 cu. in. 36 cu. ft.

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Example This works for finding the volume of cylinders also. 5 m 3 m Volume = area of the base x height. Area of base = = 3.14 x 3 2 = 28.26 sq. m Volume = area of base x height. = 28.26 x 5 = 141.3 cu. meters

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Try This Find the volume of the cylinder: 11 ft 5 ft.

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Try This Find the volume of the cylinder: 11 ft 5 ft. 1,899.7 cu. ft.

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Agenda P.540 #1-13

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In this video, you will recognize that volume is additive, by finding the volume of a 3D figure composed of two rectangular prisms.

In this video, you will recognize that volume is additive, by finding the volume of a 3D figure composed of two rectangular prisms.

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