Lesson 11: Practice Problems

Problem 1

What is the volume of this cube?

A 2 by 2 by 2 cube

Problem 2

  1. Select all the numbers that are perfect squares.

    1. 16

    2. 20

    3. 25

    4. 100

    5. 125

    6. 144

    7. 225

    8. 10,000

  2. Write a sentence that explains your reasoning.

Problem 3

  1. Select all the numbers that are perfect cubes.

    1. 1

    2. 3

    3. 8

    4. 9

    5. 27

    6. 64

    7. 100

    8. 125

  2. Explain what a perfect cube is.

Problem 4

  1. A square has side length 4 cm. What is its area?

  2. The area of a square is 49 m². What is its side length?

  3. A cube has edge length 3 in. What is its volume?

Problem 5

Prism A and Prism B are rectangular prisms. Prism A is 3 inches by 2 inches by 1 inch. Prism B is 1 inch by 1 inch by 6 inches.

Select all statements that are true about the two prisms.

  1. They have the same volume.

  2. They have the same number of faces.

  3. More inch cubes can be packed into Prism A than into Prism B.

  4. The two prisms have the same surface area.

  5. The surface area of Prism B is greater than that of Prism A.

Problem 6

A net made up of 3 rectangles of different sizes and 2 triangles attached to the last rectangle.

  1. What polyhedron can be assembled from this net?

  2. What information would you need to find its surface area? Be specific, and label the diagram as needed.

Problem 7 From Unit 1 Lesson 12

Find the surface area of this triangular prism. All measurements are in meters.

A triangular prism with rectangular sides.