This grade 5 volume worksheet gives 22 problems on volume of rectangular prisms, ordered from easy to hard, with a separate answer key.
These 22 problems practice volume of rectangular prisms: counting unit cubes, using V = l × w × h and V = B × h, finding missing edges, and adding volumes of composite solids (5.MD.C.3, 5.MD.C.4, 5.MD.C.5). The last problems use real situations such as sandboxes, fish tanks, and moving trucks.
Grade 5 Volume Worksheet: problems 1–5
Problem 1: Counting unit cubes
Each small cube is 1 cubic unit. Find the volume of the prism.
Problem 2: Counting layers
The prism is built from layers of cubes. Find the number of cubes in one layer, the number of layers, and the volume.
Problem 3: Volume in centimeters
Find the volume of a rectangular prism that is 5 cm long, 4 cm wide, and 3 cm high.
Problem 4: Volume in feet
Find the volume of a prism that is 8 ft long, 2 ft wide, and 6 ft high.
Problem 5: Using base area
The base of a prism has an area of 20 square inches. The prism is 7 inches high. Find the volume.
Grade 5 Volume Worksheet: problems 6–10
Problem 6: Volume of a cube
Find the volume of a cube with edges 6 inches long.
Problem 7: Base first, then height
A prism has a rectangular base 7 m by 5 m and a height of 4 m. Find the area of the base, then the volume.
Problem 8: Missing height
A prism has a volume of 90 cubic centimeters. Its length is 6 cm and its width is 5 cm. Find the height.
Problem 9: Height from base area
A prism has a volume of 144 cubic feet and a base area of 36 square feet. Find its height.
Problem 10: Missing length
A prism has a volume of 120 cubic inches, a width of 4 in, and a height of 5 in. Find the length.
Grade 5 Volume Worksheet: problems 11–15
Problem 11: Which holds more
Prism A is 6 in by 4 in by 5 in. Prism B is 7 in by 3 in by 6 in. Which has the greater volume, and by how much?
Problem 12: Cubes in layers
A prism is built from 4 layers. Each layer has 15 unit cubes. Find the volume.
Problem 13: Choose the unit
A box is 10 in long, 6 in wide, and 4 in high. Find the volume and write the correct unit.
Problem 14: Composite solid, two parts
The solid is made of two rectangular prisms. Find its volume.
Problem 15: Staircase solid
A set of steps is 4 ft wide. The three steps are 2 ft long each, and they are 1 ft, 2 ft, and 3 ft high. Find the volume of the steps.
Grade 5 Volume Worksheet: problems 16–20
Problem 16: Packing a box
A shipping box is 12 in long, 9 in wide, and 6 in high. How many 1-inch cubes fill the box exactly?
Problem 17: Check a prism
Maya says a prism that is 5 units long, 3 units wide, and 2 units high has a volume of 30 cubic units. Is she right? Explain.
Problem 18: Sandbox
A school sandbox is 8 ft long, 5 ft wide, and 1 ft deep. Sand comes in bags of 2 cubic feet. How many bags fill the sandbox?
Problem 19: Fish tank
Jamal’s fish tank is 24 in long, 12 in wide, and 10 in high. He fills it with water to a height of 8 in. How many cubic inches of water are in the tank, and how many more cubic inches would fill it to the top?
Problem 20: Storage boxes
Mei stacks two storage boxes in a closet. One box is 6 ft by 4 ft by 3 ft. The other is 4 ft by 4 ft by 2 ft. What is the total volume of the two boxes?
Grade 5 Volume Worksheet: problems 21–22
Problem 21: Filling a pool
A pool is 15 ft long, 10 ft wide, and 4 ft deep. A pump adds 50 cubic feet of water each hour. How many hours does it take to fill the pool?
Problem 22: Moving truck
A moving truck has a cargo space that is 10 ft long, 8 ft wide, and 6 ft high. Each moving box is a cube with 2-ft edges. How many boxes fit if the space is packed completely?
How to use this grade 5 volume worksheet
Print this grade 5 volume worksheet as a PDF, solve every problem on paper, then compare with the answer key.
See every chapter on the Grade 5 math page.
