5th Grade Volume of Rectangular Prisms Test with Point Values (PDF)

Solve. The prism is built from unit cubes.

1. How many cubes are in the bottom layer? (1 point)
2. What is the volume of the prism? (1 point)

Find the volume of a rectangular prism with length 9 ft, width 4 ft and height 3 ft.

Solve. The base of a prism has an area of 35 square centimeters. The prism is 6 centimeters high. Find its volume.

Solve. A prism has volume \(224\text{ in}^{3}\). Its length is 8 in and its width is 7 in. Find its height.

Solve. The solid is made of two rectangular prisms, A and B. The numbers show length, width and height of each part.

1. Find the volume of prism A. (1 point)
2. Find the volume of prism B. (1 point)
3. Find the volume of the whole solid. (1 point)

Solve. A cereal box is 8 cm by 2 cm by 12 cm. A juice box is 5 cm by 4 cm by 10 cm. Which has the greater volume, and by how much?

Solve. An aquarium is 24 in long, 12 in wide and 10 in high.

1. What is the volume of the aquarium? (1 point)
2. The water is 8 in deep. What is the volume of the water? (1 point)
3. How many more cubic inches of water would fill the aquarium? (1 point)

Solve. Jamal says that doubling only the height of a prism doubles its volume. Mei says that doubling the length, the width and the height all together also doubles the volume. Who is correct? Use a prism that is 2 by 3 by 4 to explain.

Solve. A prism is built from 1-centimeter cubes. The base has 5 rows of 4 cubes, and there are 3 layers.

1. Find the volume of the prism. (1 point)
2. How many cubes are needed to add one more layer? (1 point)