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Splash Screen. 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. Lesson Menu.
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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 Lesson Menu
Find the volumes of rectangular and triangular prisms. • volume • rectangular prism • triangular prism Main Idea/Vocabulary
Volume of a Rectangular Prism Find the volume of the rectangular prism. V = ℓwh Volume of a rectangular prism V = 4● 3 ● 2 Replace ℓ with 4, w with 3, and h with 2. V = 24 Multiply. Answer: 24 cm3 Example 1
A B C D Find the volume of the rectangular prism. A. 20 in3 B. 100 in3 C. 240 in3 D. 960 in3 Example 1
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 = ℓwh Volume of a rectangular prism V = 8.5 ● 6 ● 4 Replace ℓ with 8.5, w with 6, and h with 4. V = 204 Multiply. Example 2
Volume of new box V = ℓwh Volume of a rectangular prism V = 10 ● 6 ● 4 Replace ℓ with 10, w with 6, and h with 4. V = 240 Multiply. 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 in3. Example 2
A B C D CRACKERS Find the volume of the cracker box. A. 20 in3 B. 112 in3 C. 280 in3 D. 315 in3 Example 2
Volume of a Triangular Prism Find the volume of the triangular prism. Example 3
Volume of a Triangular Prism V = Bh Volume of a prism V = 31.5 ● 10 Replace B with 31.5 and h with 10. V = 315 Multiply. Answer: 315 m3 Example 3
A B C D Find the volume of the triangular prism. A. 16 m3 B. 63 m3 C. 126 m3 D. 178 m3 Example 3
End of the Lesson End of the Lesson
Five-Minute Check (over Lesson 11–8) Image Bank Math Tools Area of Trapezoids Drawing 3-D Figures Area of Polygons Resources
A B C D A.B. C.D. (over Lesson 11-8) Refer to the figure. Which option shows the top, side, and front views of the solid? Five Minute Check 1
A B C D A.B. C.D. (over Lesson 11-8) Which option shows a solid, drawn using the top, side, and front views shown in the figure? Five Minute Check 2
A B C D (over Lesson 11-8) What is the side view of the figure? A. rectangle B. square C. triangle D. parallelogram Five Minute Check 3