Module 5 Lessons 15/16­ Constructing Nets
Goal: Construct three­dimensional figures through the use of nets. Calculate the surface area of each three­dimensional figure.
Warm up:
A ____________ is a solid geometric figures whose two bases are parallel to identical polygons and whose sides are parallelograms.
A _____________ is a solid geometric figure formed by connecting a polygonal base and a point forming triangular lateral faces. Match the following nets to the picture of its solid. Then write the name of the solid.
a)
b)
c)
Using the constructed nets you just made. Fill in the below table with your elbow partner:
# of Faces
Base Figure
Rectangular Prism
Cube
Triangular Prism
Square Pyramid
Triangular Pyramid
1
Example #1­ A triangular prism with a length of 8 inches and equilateral bases that measure 4 inches. Write an expression and solve for the surface area.
2 in
Example #2­ A cube whose side length is 4 feet long.
Example #3­ A square pyramid with a base length of 5 cm and the height of the triangle is 8cm.
2
M5­Lessons 15­16­ Representing and Classifying 3­Dimensional Figures Using Nets
Problem Set:
Below are the nets for a variety of prisms and pyramids. Classify the solids as prisms or pyramids, and identify the shape of the base(s). Then write the name of the solid.
4in
2in
3in
5in
6in
4in
5in
4in
b)
a)
3m
8in
6m
6m
7in
d)
c)
7ft
7ft
7ft
3ft
10in
7ft
3in
8in
e)
7ft
12in
f)
IP