Grade 6 | Unit 1 | Lesson 17: Squares and Cubes | Practice Problems

What is the volume of this cube?

• 8 cu cm

• 12 cu cm

• 16 cu cm

• 27 cu cm

Decide if each number on the list is a perfect square. 16, 20, 25, 100, 125, 144, 225, 10,000.

• 16

• 25

• 100

• 144

• 225

Write a sentence that explains your reasoning.

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Decide if each number on the list is a perfect cube. 1, 3, 8, 9, 27, 64, 100, 125.

• 1

• 8

• 27

• 64

• 125

Explain what a perfect cube is.

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What is the area of a square with side length 4 cm?

• 16 cm2

• 8 cm2

• 12 cm2

• 20 cm2

What is the side length of a square with an area of 49 m2?

• 7 m

• 5 m

• 9 m

• 10 m

What is the volume of a cube with edge length 3 in?

• 27 in3

• 18 in3

• 36 in3

• 45 in3

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.

• They have the same volume.

• They have the same number of faces.

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

• The two prisms have the same surface area.

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

What polyhedron can be assembled from this net?

• Triangular prism

• Cube

• Rectangular prism

• Pyramid