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LESSON 1-7 THREE-DIMENSIONAL FIGURES

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## LESSON 1-7 THREE-DIMENSIONAL FIGURES

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**LESSON 1-7**THREE-DIMENSIONAL FIGURES**Note: See Vocabulary Sheet 1-7 Three-Dimensional Figures**• cylinder • cone • sphere • regular polyhedron • Platonic solid • surface area • volume • polyhedron • face • edge • vertex • prism • base • pyramid Vocabulary**Polyhedron:**• a special solid with all flat surfaces that are polygons • **named by its base Vocabulary**Face:**• flat surfaces of a solid Vocabulary**Edge:**• the line segment where the faces intersect Vocabulary**Vertex:**• the point where three or more edges intersect Vocabulary**Platonic solid:**• a regularpolyhedron where all of the faces are regular congruent polygons and all the edges are congruent Vocabulary**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**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**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**A. Identify the solid.**A. triangular pyramid B. pentagonal prism C. rectangular prism D. square pyramid Example 1**B. Identify the solid.**A. cone B. cylinder C. pyramid D. polyhedron Example 1**C. Identify the solid.**A. triangular prism B. triangular pyramid C. rectangular pyramid D. cone Example 1**Find Surface Area and Volume**Find the surface area and volume of the cone. Example 2**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**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 Example 3**Surface Area and Volume**Example 3**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**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