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Lesson Menu Five-Minute Check (over Lesson 11–8) Main Idea and Vocabulary Key Concept: Volume of a Rectangular Prism Example 1:Volume of a Rectangular Prism Example 2:Real-World Example Key Concept: Volume of a Triangular Prism Example 3:Volume of a Triangular Prism
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Main Idea/Vocabulary volume rectangular prism triangular prism Find the volumes of rectangular and triangular prisms.
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KC 1
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Example 1 Volume of a Rectangular Prism Find the volume of the rectangular prism. V = ℓwhVolume of a rectangular prism V = 4 ● 3 ● 2Replace ℓ with 4, w with 3, and h with 2. V = 24Multiply. Answer: 24 cm 3
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1.A 2.B 3.C 4.D Example 1 A.20 in 3 B.100 in 3 C.240 in 3 D.960 in 3 Find the volume of the rectangular prism.
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Example 2 GAMES The manufacturer of the game Bugs of Planet Zykon uses the box shown. If the manufacturer increases the length of the box to 10 inches, how much will the box’s volume increase? Volume of original box V = ℓwhVolume of a rectangular prism V = 8.5 ● 6 ● 4Replace ℓ with 8.5, w with 6, and h with 4. V = 204Multiply.
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Example 2 Volume of new box The difference in volume between the new box and the original box is 240 – 204 or 36 cubic inches. Answer: The box’s volume will increase by 36 in 3. V = ℓwhVolume of a rectangular prism V = 10 ● 6 ● 4Replace ℓ with 10, w with 6, and h with 4. V = 240Multiply.
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1.A 2.B 3.C 4.D Example 2 A.20 in 3 B.112 in 3 C.280 in 3 D.315 in 3 CRACKERS Find the volume of the cracker box.
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KC 2
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Example 3 Volume of a Triangular Prism Find the volume of the triangular prism.
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Example 3 Volume of a Triangular Prism Answer: 315 m 3 V = BhVolume of a prism V = 31.5 ● 10 Replace B with 31.5 and h with 10. V = 315Multiply.
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1.A 2.B 3.C 4.D Example 3 A.16 m 3 B.63 m 3 C.126 m 3 D.178 m 3 Find the volume of the triangular prism.
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End of the Lesson
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Resources Five-Minute Check (over Lesson 11–8) Image Bank Math Tools Area of Trapezoids Drawing 3-D Figures Area of Polygons
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1.A 2.B 3.C 4.D Five Minute Check 1 (over Lesson 11-8) Refer to the figure. Which option shows the top, side, and front views of the solid? A. B. C. D.
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1.A 2.B 3.C 4.D Five Minute Check 2 (over Lesson 11-8) Which option shows a solid, drawn using the top, side, and front views shown in the figure? A. B. C. D.
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1.A 2.B 3.C 4.D Five Minute Check 3 (over Lesson 11-8) A.rectangle B.square C.triangle D.parallelogram What is the side view of the figure?
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