5th Grade Volume of Rectangular Prisms Test with Point Values (PDF)
This volume test for 5th Grade covers volume of rectangular prisms (Common Core 5.MD.C.3, 5.MD.C.4, 5.MD.C.5), with a free PDF to print.
This 45-minute test covers unit cubes, the volume formulas for rectangular prisms, missing dimensions, and composite solids (5.MD.C.3 to 5.MD.C.5). There are 9 questions worth 20 points. Show your work and write cubic units.
Time and points
- Grade: Grade 5
- Chapter: Volume of Rectangular Prisms
- Standards: 5.MD.C.3, 5.MD.C.4, 5.MD.C.5
- Time: 45 minutes
- Total: 20 points
Volume test: questions
Question 1 – Counting unit cubes [2 pts]
Solve. The prism is built from unit cubes.
- How many cubes are in the bottom layer? (1 point)
- What is the volume of the prism? (1 point)
Question 2 – Volume from edges [2 pts]
Find the volume of a rectangular prism with length 9 ft, width 4 ft and height 3 ft.
Question 3 – Base area and height [2 pts]
Solve. The base of a prism has an area of 35 square centimeters. The prism is 6 centimeters high. Find its volume.
Question 4 – Missing height [2 pts]
Solve. A prism has volume \(224\text{ in}^{3}\). Its length is 8 in and its width is 7 in. Find its height.
Question 5 – Composite solid [3 pts]
Solve. The solid is made of two rectangular prisms, A and B. The numbers show length, width and height of each part.
- Find the volume of prism A. (1 point)
- Find the volume of prism B. (1 point)
- Find the volume of the whole solid. (1 point)
Question 6 – Compare packages [2 pts]
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?
Question 7 – Aquarium [3 pts]
Solve. An aquarium is 24 in long, 12 in wide and 10 in high.
- What is the volume of the aquarium? (1 point)
- The water is 8 in deep. What is the volume of the water? (1 point)
- How many more cubic inches of water would fill the aquarium? (1 point)
Question 8 – Doubling edges [2 pts]
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.
Question 9 – Stacked cubes [2 pts]
Solve. A prism is built from 1-centimeter cubes. The base has 5 rows of 4 cubes, and there are 3 layers.
- Find the volume of the prism. (1 point)
- How many cubes are needed to add one more layer? (1 point)
Key facts behind this volume test
- A unit cube has volume 1 cubic unit.
- Volume is measured in cubic units such as cm³, in³ and ft³.
- V = l × w × h, and V = B × h where B is the base area.
- A composite solid made of two prisms has volume equal to the sum of the two volumes.
- Volume = (cubes in one layer) × (number of layers).
How to use this volume test
Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.
All Grade 5 chapters: Grade 5 math.
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