Volume of Rectangular Prisms

What is the formula for volume?

• length x width x height x area

• area

• length x width

• length x width x height

• l

Volume if the amount of space an object takes up.

• True 

• False

Which expression represents the image? Read carefully

• 3 x 4 + 5

• 20 + 20

• 5 + 3 + 4

• 15 x 4

sandbox in the shape of a rectangular prism is 2 feet deep. Filled to the top, it holds 72 cubic feet of sand. Select all that could be the dimensions of the base of the sandbox.

• 6 feet × 6 feet

• 36 feet × 2 feet

• 4 feet × 9 feet

• 12 feet × 3 feet

The table shows the measurements of some nut dispenser bins shaped like rectangular prisms.

Find the volume of Bin #1

• 720 cubic inches 

• 760 cubic inches

• 780 cubic inches

The table shows the measurements of some nut dispenser bins shaped like rectangular prisms.

Find the volume of Bin #2

• 720 cubic inches 

• 760 cubic inches

• 780 cubic inches

Justin is filling a container with unit cubes. Each cube measures exactly 1 cubic inch. He places the first 9 cubes on the bottom of the container as shown below. How many unit cubes in total must Justin use to fill the container?

• 9 unit cubes

• 36 unit cubes

• 18 unit cubes

• 27 unit cubes

Drew is building a robot using cubes. So far he has built the head, neck, and upper body, as shown below. What is the total volume of Drew’s robot so far?

• 26 cubic inches

• 18 cubic inches

• 27 cubic inches

• 35 cubic inches

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.

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