Volume

A teacher asks Holden and Cecilia to find the volume of a rectangular prism. They count 12 unit cubes in the bottom layer.

Which process could Holden and Cecilia use to determine the total volume of the rectangular prism correctly?

• Holden and Cecilia could add 12 to 4 to find a total volume of 16 cubic units.

• Holden and Cecilia could add 12 to 5 to find a total volume of 17 cubic units.

• Holden and Cecilia could multiply 12 by 4 to find a total volume of 48 cubic units.

• Holden and Cecilia could multiply 12 by 5 to find a total volume of 60 cubic units.

The volume of the rectangular prism is 48 cubic centimeters.

What is the value of x?

• 6 cm

• 10 cm

• 20 cm

• 42 cm

What is the volume of the rectangular prism, and why?

• 30 cubic cm because 2 cm × 3 cm × 5 cm = 30 cubic cm

• 24 cubic cm because 2 cm × 3 cm × 4 cm = 24 cubic cm

• 20 cubic cm because 2 cm × 2 cm × 5 cm = 20 cubic cm

• 12 cubic cm because 2 cm × 2 cm × 3 cm = 12 cubic cm

What is the volume of the tissue box?

• 21 cubic inches

• 64 cubic inches

• 120 cubic inches

• 240 cubic inches

An artist fills a container with colored sand.

How much sand, in cubic inches, does the artist use to fill the container completely?

• 15 cubic inches

• 20 cubic inches

• 86 cubic inches

• 96 cubic inches

What is the volume of the figure?

• 11 cubic centimeters

• 12 cubic centimeters

• 15 cubic centimeters

• 16 cubic centimeters

Tyler placed some inch cubes on the bottom of a container.

He saw that he could completely fill the container with 3 more layers of inch cubes. Which statements are true? Choose all that are correct.

• The total volume of the container is 96 cubic inches.

• The total volume of the container is 72 cubic inches.

• The volume of the bottom layer is 8 cubic inches.

• The total volume of the container is 25 cubic inches.

• The volume of the bottom layer is 24 cubic inches.

Spencer has a rectangular box with a volume of 144 cubic units. He is placing unit cubes into the box, as shown.

How many more unit cubes does Spencer need to fill the box completely ?

• 36 unit cubes

• 40 unit cubes

• 104 unit cubes

• 144 cubes

Penelope packed 16 centimeter cubes in a box. Which could be the dimensions of the box? Select ALL that apply.

• 1 x 2 x 2

• 1 x 2 x 4

• 4 x 2 x 1

• 4 x 2 x 2

• 8 x 2 x 1

Omar packed 36 centimeter cubes in a box. Which dimensions could the box be? Select ALL that apply

• 6 x 3 x 2

• 9 x 3 x 2

• 9 x 2 x 2

• 6 x 1 x 1

• 6 x 2 x 4