Lesson 13: Practice Problems

Problem 1

Select all the polyhedra.

  1. rectangular pyramid
  2. Icosahedron
  3. cone
  4. hexagonal prism
  5. sphere

Problem 2

A cylinder with bases in the shape of octagons.

  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’s statement? Explain your reasoning.

A net with 4 rectangles and 2 squares attached at the bottom of the first and top of the second rectangles.

Problem 4 From Unit 1 Lesson 8

Explain why each of the following triangles has an area of 9 square units.

Three triangles labeled A, B, and, C. Each triangle has a bas of 6 units and a height of 3 units.

Problem 5 From Unit 1 Lesson 9

  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 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?

Problem 6 From Unit 1 Lesson 3

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

A blue triangle with a height line of 3 in the middle hitting a white square cutout with sides of 2. On either side of the square, there are triangle bases of 6.