Finding Volume: Counting Unit Cubes

Rafael is making a rectangular prism with cubes. Each cube measures 1 cubic inch. Rafael uses 48 cubes to make his rectangular prism. He wants to use multiplication to find the volume. Which multiplication sentence shows how to find the volume of Rafael’s prism?

• 8 × 8 × 2 = 48

• 8 × 3 × 3 = 48

• 8 × 6 × 1 = 48

• 8 × 3 × 2 = 48

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Gianna is finding the volume of a rectangular prism by filling it with unit cubes. She has filled the bottom of the prism with unit cubes that each measure 1 cubic inch, as shown. What is the volume of the prism? Explain how you found the volume.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

The layers of a rectangular prism are shown to the right of the prism. Enter the volume, in cubic inches, of the rectangular prism.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Jackie is building a rectangular prism. The bottom layer of the rectangular prism is shown. Jackie builds a rectangular prism that has 5 layers. Enter the volume, in cubic centimeters, of the completed prism. The volume of the completed prism will be _______________ cubic centimeters.

Tags

CCSS.5.MD.C.5A

CCSS.6.G.A.2

The base of a right rectangular prism is shown below. When the prism is complete, the height will be 4 meters. What is the volume, in cubic meters, of the completed prism? _______________ cubic meters

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Isaac made a solid figure using unit cubes, as shown below. Each unit cube has a volume of 1 cubic inch. He can find the volume either by counting the unit cubes or by multiplying the area of the base by the height. Which of the following shows how Isaac can find the volume of his solid figure by multiplying?

• 5 × (2 × 3) = 30 cubic in.

• 10 × (3 + 2) = 50 cubic in.

• (5 × 3) × (2 × 3) = 90 cubic in.

• 5 × (2 + 3) = 25 cubic in.

Tags

CCSS.5.MD.C.5A

CCSS.6.G.A.2

Gina is given the information shown in the table about two rectangular prisms. Gina states that the volume of prism A is equal to the volume of prism B. Use words and/or numbers to prove that Gina’s statement is correct. Include the volume of the prisms in your explanation.

Tags

CCSS.7.G.B.6

The Oakview Department store is receiving a delivery of baskets. Each basket is packed in a box that has a volume of 1 cubic foot. The boxes of baskets are grouped together, as shown, then shipped in a larger box. What is the total volume of the larger box of baskets?

• 20 cubic feet

• 27 cubic feet

• 54 cubic feet

• 60 cubic feet

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

What is the volume of this rectangular prism?

• 27 cubic units

• 18 cubic units

• 9 cubic units

• 3 cubic units

Tags

CCSS.5.MD.C.5A

CCSS.6.G.A.2

What is the volume of the solid figure?

• 28 cubic units

• 17 cubic units

• 20 cubic units

• 40 cubic units

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4