Compare Volume

Jonah has 20 one-inch cubes and uses them all to create a rectangular prism. The height of the prism is 10 inches. Mila uses 20 one-inch cubes to make a rectangular prism that has a height of 2 inches. Which statement is true about the volumes of the two prisms?

• They do not have the same volume.

• The volumes are the same because both prisms are made using 20 one-inch cubes.

• The volumes are the same because Jonah and Mila used 20 cubes for an area of 20 square inches.

• The volume of the first prism is five times the volume of the second prism.

John is making a chest that will have a volume of 1,200 cubic inches. The length is 20 inches and the width is 12 inches. How many inches tall should his chest be?

• 6 in.

• 5 in.

• 4 in.

• 7 in

Ava builds a storage box that is 10 cm long, 12 cm wide, and 10 cm tall. She wants to build a second box that is 10 cm long and 20 cm tall. If the volume of both boxes is the same, how wide is the second box?

• 4

• 5

• 6

• 7

The volume of a rectangular prism is 140 cubic inches. How does that volume compare to the volume of a cube that measures 5 inches on each side?

• The rectangular prism’s volume is greater than the cube’s volume.

• The cube’s volume is greater than the rectangular prism’s volume.

• The volumes are equal.

• The rectangular prism’s volume is less than the cube’s volume.

Which of the following statements is true about the volume of shapes?

• Volume is measured in square units.

• Volume is the amount of space inside a 3D shape.

• Volume can only be calculated for cubes.

• Volume is the same as area.

Multi-Step

Three rectangular prisms built using centimeter cubes have the following dimensions: Prism A: (6 × 7) × 5; Prism B: (7 × 4) × 6; Prism C: (6 × 8) × 4. Which lists the prisms in order from greatest to least volume?

• A; B; C

• B; C; A

• A; C; B

• C; A; B

Cole has a rectangular prism that measures 4 inches by 5 inches by 6 inches. He says that by changing one dimension, he can make a prism with a volume of 240 cubic inches. What are the three ways Cole can do this?

• (8 × 5) × 6

• (8 x 5) X 4

• (4 × 5) × 12

• (4 × 10) × 6

To find the volume of a figure you need to use which of the following formulas?

• l x w

• l x w x h

• 1/2 x b x h

• 2l x 2w x 2h