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Lesson Menu Five-Minute Check (over Lesson 10–5) Main Idea and Vocabulary Key Concept: Volume of a Rectangular Prism Example 1:Find the Volume of a Rectangular Prism Example 2:Use Volume to Solve a Problem
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Main Idea/Vocabulary rectangular prism volume cubic units Find the volume of rectangular prisms.
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KC
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Example 1 Find the Volume of a Rectangular Prism Find the volume of the rectangular prism. Method 1 Use V = ℓ wh. V = ℓ whVolume of rectangular prism. V = 10 × 8 × 5Replace ℓ with 10, w with 8, and h with 5. V = 400Multiply.
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Method 2 Example 1 Find the Volume of a Rectangular Prism B, or the area of the base, is 8 × 10 or 80 square meters. V = BhVolume of a rectangular prism V = 80 × 5Replace B with 80 and h with 5. V = 400Multiply. Answer: The volume is 400 cubic meters.
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1.A 2.B 3.C 4.D Example 1 A.19 in 3 B.38 in 3 C.84 in 3 D.144 in 3 Find the volume of the rectangular prism.
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Example 2 STORAGE A closet is 6.2 feet long, 2.8 feet wide, and 8.1 feet high. Find the amount of space contained within the closet for storage. Estimate 6 × 3 × 8 = 144 Find the volume. Use Volume to Solve a Problem Answer: The amount of space in the closet for storage is 140.616 cubic feet. V = ℓ whVolume of rectangular prism. V = 6.2 × 2.8 × 8.1Replace ℓ with 10, w with 8, and h with 5. V = 140.616Multiply.
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1.A 2.B 3.C 4.D Example 2 A.40.25 ft 3 B.61.875 ft 3 C.62.5 ft 3 D.75.125 ft 3 MOVING A box provided by a mover for packing is 4.5 feet long, 2.5 feet wide, and 5.5 feet high. Find the volume of the box.
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End of the Lesson
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Resources Five-Minute Check (over Lesson 10–5) Image Bank Math Tools Using a Net to Build a Cube Area of Triangles
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1.A 2.B 3.C 4.D Five Minute Check 1 A.4 rows B.5 rows C.6 rows D.7 rows Use the make a model strategy to solve. CHEERLEADING The cheerleading team is making a pyramid. There are 6 cheerleaders on the bottom row and one less cheerleader in each row. How many rows are in the pyramid if there are 18 cheerleaders? (over Lesson 10-5)
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1.A 2.B Five Minute Check 2 A.Yes; 64 + 49 + 36 + 25 + 16 + 4 + 1 = 195. B.No; He needs 64 + 49 + 36 + 25 + 16 + 9 + 4 + 1, or 204 apples. Use the make a model strategy to solve. DESIGN A grocery store associate is arranging apples in a square pyramid. The base of the pyramid should have 64 apples, and the top layer should have 1 apple. Will 200 apples be enough for the associate to make the pyramid? Explain. (over Lesson 10-5)
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1.A 2.B 3.C 4.D Five Minute Check 3 A.1 brick paver B.2 brick pavers C.3 brick pavers D.4 brick pavers Mateo has 18 square brick pavers that he wants to arrange for a small patio outside his back door. If he wants the patio to have the least perimeter possible, how many brick pavers will be in each row? (over Lesson 10-5)
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