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Splash Screen. You identified and named two-dimensional figures. (Lesson 1–6). Identify and name three-dimensional figures. Find surface area and volume. Then/Now. cylinder cone sphere regular polyhedron Platonic solid surface area volume. polyhedron. face edge vertex prism base

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  1. Splash Screen

  2. You identified and named two-dimensional figures. (Lesson 1–6) • Identify and name three-dimensional figures. • Find surface area and volume. Then/Now

  3. cylinder • cone • sphere • regular polyhedron • Platonic solid • surface area • volume • polyhedron • face • edge • vertex • prism • base • pyramid Vocabulary

  4. Concept

  5. Identify Solids A.Determine whether the solid is a polyhedron. Then identify the solid. If it is a polyhedron, name the bases, faces, edges, and vertices. Example 1

  6. Answer: rectangular prism;Bases: rectangles EFHG, ABDCFaces: rectangles FBDH, EACG, GCDH,EFAB, EFGH, ABCD Vertices: A, B, C, D, E, F, G, H Identify Solids The solid is formed by polygonal faces, so it is a polyhedron. The bases are rectangles. This solid is a rectangular prism. Example 1

  7. Identify Solids B.Determine whether the solid is a polyhedron. Then identify the solid. If it is a polyhedron, name the bases, faces, edges, and vertices. Example 1

  8. Answer: hexagonal prism;Bases: hexagon EFGHIJ and hexagon KLMNOP Faces: rectangles EFLK, FGML, GHMN, HNOI, IOPJ, JPKE Vertices:E, F, G, H, I, J, K, L, M, N, O, P Identify Solids The solid is formed by polygonal faces, so it is a polyhedron. The bases are hexagons. This solid is a hexagonal prism. Example 1

  9. Identify Solids C.Determine whether the solid is a polyhedron. Then identify the solid. If it is a polyhedron, name the bases, faces, edges, and vertices. Example 1

  10. Identify Solids The solid has a curved surface, so it is not a polyhedron. The base is a circle and there is one vertex. So, it is a cone. Answer:Base: circle TVertex:Wno faces or edges Example 1

  11. A B C D A. Identify the solid. A. triangular pyramid B. pentagonal prism C. rectangular prism D. square pyramid Example 1

  12. A B C D B. Identify the solid. A. cone B. cylinder C. pyramid D. polyhedron Example 1

  13. A B C D C. Identify the solid. A. triangular prism B. triangular pyramid C. rectangular pyramid D. cone Example 1

  14. Concept

  15. Concept

  16. π π Use a calculator. Find Surface Area and Volume Find the surface area and volume of the cone. . Example 2

  17. Volume of a cone r = 3, h = 4 Simplify. Use a calculator. Find Surface Area and Volume Answer: The cone has a surface area of about 75.4 cm2 and a volume of about 37.7 cm3. Example 2

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