# 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

1. Is this polyhedron a prism, a pyramid, or neither? Explain how you know.

2. 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.

(From Unit 1, Lesson 8.)

### Problem 5

1. A parallelogram has a base of 12 meters and a height of 1.5 meters. What is its area?

2. A triangle has a base of 16 inches and a height of $$\frac18$$ inches. What is its area?
3. A parallelogram has an area of 28 square feet and a height of 4 feet. What is its base?
4. A triangle has an area of 32 square millimeters and a base of 8 millimeters. What is its height?
(From Unit 1, Lesson 9.)

### Problem 6

Find the area of the shaded region. Show or explain your reasoning.

(From Unit 1, Lesson 3.)