Lesson 13
Polyhedra
Let’s investigate polyhedra.
Problem 1
Select all the polyhedra.
A:
A
B:
B
C:
C
D:
D
E:
E
Problem 2

Is this polyhedron a prism, a pyramid, or neither? Explain how you know.
 How many faces, edges, and vertices does it have?
Problem 3
Tyler said this net cannot be a net for a square prism because not all the faces are squares.
Do you agree with Tyler? Explain your reasoning.
Problem 4
Explain why each of these triangles has an area of 9 square units.
Problem 5

A parallelogram has a base of 12 meters and a height of 1.5 meters. What is its area?
 A triangle has a base of 16 inches and a height of \(\frac18\) inches. What is its area?
 A parallelogram has an area of 28 square feet and a height of 4 feet. What is its base?
 A triangle has an area of 32 square millimeters and a base of 8 millimeters. What is its height?
Problem 6
Find the area of the shaded region. Show or explain your reasoning.