3-D Space Figures and Nets

5th Grade GeometryKelly Bechtold

IM422Interactive PowerPoint

Space Figures

3-dimensional

figure

PrismCone

Pyramid

Cylinder

Prisms Two bases

Congruent parallel polygons

Lateral faces Parallelograms

Number of vertices 2 x # of sides on

base polygon Example: A

pentagonal prism has 10 vertices (2 x 5 sides = 10)

PyramidsOne base

Polygon

Lateral faces Triangles

Number of vertices 1 + # of sides

of base

Square Pyramid

Pentagonal Pyramid

CylindersTwo bases

Congruent parallel circles

Lateral surface Rectangle

No vertices

ConesOne base

Circle

Lateral surface Part of a

circle

One vertex

OverviewPrisms Pyramids Cylinders Cones

Number of

Bases

2 1 2 1

Base Type

• Polygons•Congruent• Parallel

• Polygon • Circles•Congruent• Parallel

• Circle

Lateral Faces

Parallelograms

Triangles Rectangle Part of a circle

Number of

Vertices

2 x (number of

sides of base)

1 + (number of

sides of base)

0 1

Nets

Each space figure can be broken down into a two-dimensional pattern

This pattern is called a net

Online Activities

Click the hexagonal

prism to explore more prisms

and their nets!

Click the pentagonal pyramid to

explore more pyramids and

their nets!

Question 1What space figure is composed

by this net?Cylinder

Hexagonal Prism

Cone

Triangular Pyramid

Question 2What space figure is composed

by this net?Hexagonal Prism

Square Pyramid

Pentagonal Pyramid

Cylinder

Question 3What space figure is composed

by this net?Triangular Prism

Hexagonal Prism

Cone

Square Pyramid

Question 4What space figure is composed

by this net?Cone

Cylinder

Triangular Prism

Pentagonal Pyramid

Question 5What space figure is composed

by this net?Hexagonal Prism

Pentagonal Pyramid

Cylinder

Cone

Question 6What space figure is composed

by this net?Triangular Prism

Cone

Square Pyramid

Rectangular Prism

Question 7What space figure is composed

by this net?Hexagonal Pyramid

Rectangular Prism

Pentagonal Prism

Triangular Pyramid

Question 8What space figure is composed

by this net?Pentagonal Prism

Cylinder

Hexagonal Pyramid

Rectangular Pyramid

CORRECT!!!Click one of the following numbers to

answer more questions!

5 6 7 8

1 2 3 4

Finish

Sorry! Try Again!Click one of the following numbers to

answer more questions!

5 6 7 8

1 2 3 4

Finish

Congratulations!You have completed this Interactive

Learning Module!