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Splash Screen. Five-Minute Check (over Lesson 12-1) Then/Now New Vocabulary Key Concept: Volume of a Prism Example 1: Find the Volume of a Rectangular Prism Example 2: Volume of a Triangular Prism Example 3: Real-World Example: Find the Missing Length

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  1. Splash Screen

  2. Five-Minute Check (over Lesson 12-1) Then/Now New Vocabulary Key Concept: Volume of a Prism Example 1: Find the Volume of a RectangularPrism Example 2: Volume of a Triangular Prism Example 3: Real-World Example: Find the Missing Length Example 4: Standardized Test Example Lesson Menu

  3. Identify the figure. A. rectangle B. rectangular pyramid C. cube D. rectangular prism 5-Minute Check 1

  4. Which is not a face of the figure? A.PTUQ B.PTWS C.STUV D.SWVR 5-Minute Check 2

  5. ___ A.PT B.ST C.SW D.TU ___ ___ ___ Which is not an edge on the figure? 5-Minute Check 3

  6. Which is the correct list of all the vertices? A.P, S, R, Q, T, W, V, U B.P, R, Q, T, V, U C.P, S, R, Q, T, W D.S, R, T, W, V, U 5-Minute Check 4

  7. Is a cone a polyhedron? A. No, a cone has a curved surface. B. No, a cone has a flat surface. C. Yes, a cone has a curved surface. D. Yes, a cone has a flat surface. 5-Minute Check 5

  8. Describe the shape resulting from an angled cross section of the cylinder. A. circle B. rectangle C. parallellogram • oval 5-Minute Check 6

  9. You have already found the areas of rectangles and triangles. (Lesson 5–1) • Find volumes of prisms. • Find volumes of composite figures. Then/Now

  10. volume Vocabulary

  11. Concept

  12. Find the Volume of a Rectangular Prism Find the volume of the rectangular prism. V = Bh Formula for volume of a prism V = (ℓ ● w)h The base is a rectangle, so B = ℓ ● w. V = (25● 16)8ℓ = 25, w = 16, h = 8 V = 3200 Simplify. Answer: The volume is 3200 cubic centimeters. Example 1

  13. Find the volume of the prism. A. 11.5 ft3 B. 22.5 ft3 C. 45 ft3 D. 81 ft3 Example 1 CYP

  14. . The base is a triangle, so Volume of a Triangular Prism Find the volume of the triangular prism. V = Bh Formula for volume of a prism The height of the prism is 3 in. V = 15 Simplify. Answer: The volume is 15 cubic inches. Example 2

  15. Find the volume of the triangular prism. A. 33.5 ft3 B. 30 ft3 C. 15 ft3 D. 10.5 ft3 Example 2

  16. Find the Missing Length BAKINGCake batter is poured into a pan that is a rectangular prism with an 8-inch square base. If the cake batter occupies 192 cubic inches, what will be the height of the batter? V = Bh Formula for volume of a prism V = ℓ ● w ● h Replace B with ℓ ● w. 192 = 8● 8 ● h Replace V with 192, ℓ with 8, and w with 8. 192 = 64h Simplify. 3 = h Divide each side by 64. Answer: The height of the batter is 3 inches. Example 3

  17. SWIMMING POOLSA swimming pool is filled with 960 cubic feet of water. The pool is a rectangular prism 20 feet long and 12 feet wide and is the same depth throughout. Find the depth of the water. A. 2 feet B. 4 feet C. 8 feet D. 30 feet Example 3

  18. Find the volume of the solid. A. 262 m3B. 972 m3C. 918 m3D. 1458 m3 Read the Test ItemThe solid is made up of a rectangular prism and a triangular prism. The volume of the solid is the sum of both volumes. Example 4

  19. V = 12 ● 9 ● 9 Solve the Test Item Rectangular Prism Triangular Prism V = ℓwh V = Bh V = 972V = 486 The volume of the figure is 972 + 486 or 1458 cubic meters. Answer: The answer is D. Example 4

  20. Find the volume of the solid. A. 1492 in3 B. 932 in3 C. 896 in3 D. 718 in3 Example 4

  21. End of the Lesson

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