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12-9 6 th grade math Volume of Rectangular Prisms

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Objective To find the volume of rectangular prisms Why? To know how to use formulas and evaluate variable expressions using the order of operations. To further your knowledge of geometry and measurement.

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California State Standards MG 1.3: Know and use … the formula for the volume of a rectangular solid. AF 3.1: Use variables in expressions describing geometric quantities AF 3.2: Express in symbolic form simple relationships arising from geometry. MR 1.3: Determine when and how to break a problem into simpler parts. MR 2.2: Apply strategies and results from simpler problems to more complex problems.

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Vocabulary Rectangular prism – A prism whose base is a rectangle Volume of a solid (A prism) – The number of unit cubes it will fit into a space figure – Filling the solid

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How to Find the Volume of Rectangles 1)Observe or draw the figure. Be sure all measurements are in equal labels. 2) Write out the formula: B x h (B = l x w) or l x w x h 3) Check work and add label ³ to answer. Pit dimensions: base = 12 ft. x 7 ft. height = 2 ft 12 x 7 x 2 = 168 ft ³

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Find volume of rectangular prism: l = 5 ¾, w = 2 ¼, h = 1 ⅓ 5 ¾ x 2 ¼ x 1 ⅓ = 23 x 9 x 4 4 4 3 9 x 4 = 3 4 3 1 3 X 23 = 69 1 4 4 = 17 ¼ in ³

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Try It! Find the volume 1)5 ft, 8 ½ ft, 2 ft 2)½ in, 8 in, 10 in 3)2 ft, 2 ½ ft, 7 ft 4)2 ft, 1 ½ ft, 6 in for 8 bags 1)5 x 8.5 x 2 = 85 ft ³ 2) 0.5 x 8 x 10 = 40 in ³ 3) 2 x 2.5 x 7 35 ft ³ 4)(2 x 1.5 x 0.5) x 8 = (1.5) x 8 = 12 ft ³

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Objective Review To find the volume of rectangular prisms Why? You now know how to use formulas and evaluate variable expressions using the order of operations. You have furthered your knowledge of geometry and measurement. The volume of any rectangular prism is the product of its length, width, and height, or V=lwh

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Independent Practice Complete problems 6- 12 Copy original problem first. Show all work! If time, complete Mixed Review: 13-22 If still more time, work on Accelerated Math.

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