Volume and Cubes

Andrea used 56 cubes to build the first layer of a rectangular prism. The edge length of each cube is 1 inch. The finished prism had a total of 6 layers. What is the volume of Andrea’s prism, in cubic inches?

A figure is shown below. What is the area of the base?

• 24 square inches

• 72 cubic inches

• 18 square inches

• 72 square inches

Manuel used 192 unit cubes to create a rectangular prism. Which of the following could NOT represent the number of cubes Manuel used for the length, width and height of his prism?

• 8 cubes, 8 cubes, and 2 cubes

• 24 cubes, 8 cubes, and 1 cube

• 12 cubes, 8 cubes, and 2 cubes

• 6 cubes, 8 cubes, and 4 cubes

The rectangular prism shown has a volume of 80 cubic inches. What is the height of the prism, in inches?

Jose used unit cubes to build a rectangular prism with a volume of 24 cubic units. The height of the prism is 2 units. What is the area of the base?

Which volume has a side length of 4 cm?

• 24 cubic cm

• 64 cubic cm

• 16 cubic cm

• 12 cubic cm

Amy used cubes to make the rectangular prism shown below. Amy then made a smaller rectangular prism using 1/2 of the number of cubes. What was the volume of the smaller rectangular prism?

• 108 cubic feet

• 18 cubic feet

• 54 cubic feet

• 27 cubic feet

Bridget used 42 cubes to build the first layer of a rectangular prism. The edge length of each cube is 1 inch. The finished prism had a total of 7 layers. What is the volume of Bridget’s prism in cubic inches?

• 294 cubic inches

• 42 cubic inches

• 49 cubic inches

• 210 cubic inches

Adrian used cubes to make the rectangular prism shown below. Adrian then made a larger rectangular prism using 3 times as many cubes. What was the volume of the larger rectangular prism?

• 75 cubic inches

• 25 cubic inches

• 150 cubic inches

• 225 cubic inches

Scout used 432 unit cubes to create a rectangular prism. Which of the following could represent the number of cubes Scout used for the length, width and height of her prism?

• 12 cubes, 6 cubes, and 2 cubes

• 16 cubes, 3 cubes, and 9 cubes

• 24 cubes, 18 cubes, and 2 cubes

• 36 cubes, 6 cubes, and 3 cubes