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Lesson 7 Menu

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Warm-up Problems

- Name polygon A by its
number of sides.

2.Name polygon B by its

number of sides.

- Find the perimeter of polygon A.
- Find the perimeter of polygon B.
- Classify the polygons as regular or irregular.

- Identify three-dimensional figures.

- Find surface area and volume.

- polyhedron

- regular prism
- pyramid
- regular polyhedron
- Platonic solids
- cylinder
- cone

- sphere
- surface area
- volume

- face
- edges
- prism
- bases
- vertex

Identify Solids

A.Identify the solid. Name the bases, faces, edges, and vertices.

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 bases are rectangles. This solid is a rectangular prism.

Identify Solids

B.Identify the solid. Name the bases, faces, edges, and vertices.

Answer: hexagonal prism;Bases:hexagon EFGHIJ and hexagon KLMNOPFaces:rectangles EFLK, FGML, GHMN, HNOI, IOPJ, JPKE

Vertices:K, L, M, N, O, P, E, F, G, H, I, J

Identify Solids

The bases are hexagons. This solid is a hexagonal prism.

Identify Solids

C.Identify the solid. Name the bases, faces, edges, and vertices.

Identify Solids

The base is a circle and there is one vertex. So, it is a cone.

Answer:Base: circle TVertex:Wno faces or edges

Identify the solid.

- A
- B
- C
- D

A.triangular pyramid

B.pentagonal prism

C.rectangluar prism

D.square pyramid

π

π

π

π

π

.

cm2

.

Surface Area and Volume

A.Find the surface area of the cone.

Answer: The cone has a surface area of 75.4 cm2.

π

π

.

π

.

cm3

Surface Area and Volume

B. Find the volume of the cone.

Answer: The cone has a volume of 37.7 cm3.

Surface Area and Volume

The amount of material used to make the tube would be equivalent to the surface area of the cylinder.

.

Surface Area and Volume

Answer: Mike needs about 405 square inches of cardboard for each tube.