LESSON 1 7 THREEDIMENSIONAL FIGURES Note See Vocabulary

LESSON 1 -7 THREE-DIMENSIONAL FIGURES

Note: See Vocabulary Sheet 1 -7 Three-Dimensional Figures • polyhedron • cylinder • face • cone • edge • sphere • vertex • regular polyhedron • prism • Platonic solid • base • surface area • pyramid • volume

• Polyhedron: a special solid with all flat surfaces that are polygons **named by its base

• Face: flat surfaces of a solid

• Edge: the line segment where the faces intersect

• Vertex: the point where three or more edges intersect

• Platonic solid: a regular polyhedron where all of the faces are regular congruent polygons and all the edges are congruent

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.

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.

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.

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

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

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

Find Surface Area and Volume Find the surface area and volume of the cone.

Find the surface area and volume of the triangular prism. A. surface area = 288 ft 2 volume = 336 ft 3 B. surface area = 336 ft 2 volume = 288 ft 3 C. surface area = 26 ft 2 volume = 60 ft 3 D. surface area = 488 ft 2 volume = 122 ft 3

Surface Area and Volume A. CONTAINERS Mike is creating a mailing tube which can be used to mail posters and architectural plans. The diameter of the base is inches, and the height is feet. Find the amount of cardboard Mike needs to make the tube.

Surface Area and Volume

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 in 2 B. surface area = 18 in 2 C. surface area = 180 in 2 D. surface area = 1144 in 2

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 in 3 B. volume = 14 in 3 C. volume = 2520 in 3 D. volume = 3600 in 3