Lesson 14
Nets and Surface Area
Let’s use nets to find the surface area of polyhedra.
Problem 1
Can this net be assembled into a cube? Explain how you know. Label parts of the net with letters or numbers if it helps your explanation.
Problem 2

What polyhedron can be assembled from this net? Explain how you know.
 Find the surface area of this polyhedron. Show your reasoning.
Problem 3
Here are two nets. Mai said that both nets can be assembled into the same triangular prism. Do you agree? Explain or show your reasoning.
Problem 4
Here are two threedimensional figures.
Tell whether each of the following statements describes Figure A, Figure B, both, or neither.
 This figure is a polyhedron.
 This figure has triangular faces.
 There are more vertices than edges in this figure.
 This figure has rectangular faces.
 This figure is a pyramid.
 There is exactly one face that can be the base for this figure.
 The base of this figure is a triangle.
 This figure has two identical and parallel faces that can be the base.
Problem 5
Select all units that can be used for surface area.
A:
square meters
B:
feet
C:
centimeters
D:
cubic inches
E:
square inches
F:
(From Unit 1, Lesson 12.)
square feet
Problem 6
Find the area of this polygon. Show your reasoning.