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Concept

Concept. Concept. 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.

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Concept

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  1. Concept

  2. Concept

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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

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

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

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

  12. Concept

  13. Concept

  14. Concept

  15. π π . Find Surface Area and Volume Find the surface area and volume of the cone. Example 2

  16. Volume of a cone r = 3, h = 4 Simplify. Find Surface Area and Volume Example 2

  17. A B C D Find the surface area and volume of the triangular prism. A. surface area = 288 ft2volume = 336 ft3 B. surface area = 336 ft2volume = 288 ft3 C. surface area = 26 ft2volume = 60 ft3 D. surface area = 488 ft2volume = 122 ft3 Example 2

  18. A. CONTAINERS Mike is creating a mailing tubewhich can be used to mail posters andarchitectural plans. The diameter of the base is inches, and the height is feet. Find theamount of cardboard Mike needs to make the tube. Surface Area and Volume The amount of material used to make the tube would be equivalent to the surface area of the cylinder. Example 3

  19. 399.1 Use a calculator. Surface Area and Volume Surface area of a cylinder r = 1.875 in., h = 32 in. Answer:Mike needs about 399.1 square inches ofcardboard to make the tube. Example 3

  20. B. CONTAINERS Mike is creating a mailing tubewhich can be used to mail posters andarchitectural plans. The diameter of the base is inches, and the height is feet. Find thevolume of the tube. r = 1.875 in., h = 32 in. 353.4 Use a calculator. Surface Area and Volume Volume of a cylinder Example 3

  21. A B C D A. Jenny has some boxes for shipping merchandise. Each box is in the shape of a rectangular prism with a length of 18 inches, a width of 14 inches, and a height of 10 inches. Find the surface area of the box. A. surface area = 2520 in2 B. surface area = 18 in2 C. surface area = 180 in2 D. surface area = 1144 in2 Example 3

  22. A B C D B. Jenny has some boxes for shipping merchandise. Each box is in the shape of a rectangular prism with a length of 18 inches, a width of 14 inches, and a height of 10 inches. Find the volume of the box. A. volume = 1144 in3 B. volume = 14 in3 C. volume = 2520 in3 D. volume = 3600 in3 Example 3

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