Warm-up Problems

1. Name polygon A by its

number of sides.

2. Name polygon B by its

number of sides.

3. Find the perimeter of polygon A.

4. Find the perimeter of polygon B.

5. Classify the polygons as regular or irregular.

• polyhedron

• face

• edges

• prism

• bases

• vertex

• Identify three-dimensional figures.

• Find surface area and volume.

• regular prism

• pyramid

• regular polyhedron

• Platonic solids

• cylinder

• cone

• sphere

• surface area

• volume

Identify Solids

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

Identify Solids

The bases are rectangles. This solid is a rectangular prism.

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

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

Identify Solids

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

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

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

A. A

B. B

C. C

D. D

A. triangular pyramid

B. pentagonal prism

C. rectangluar prism

D. square pyramid

Identify the solid.

http://www.ca.geometryonline.com/

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 π

.π

.cm2

Surface Area and Volume

B. Find the volume of the cone.

Answer: The cone has a volume of 37.7 cm3.

π

.cm3

π

.π

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.

.