5th Grade Volume of Rectangular Prisms Worksheet (PDF)

5th Grade math worksheet: Volume of Rectangular Prisms – Maths PDF

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This volume practice worksheet 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 worksheet has 20 problems on volume (5.MD.C.3, 5.MD.C.4 and 5.MD.C.5). You will count unit cubes, use V = l × w × h and V = B × h, find missing edges, and find the volume of solids made from two prisms.

The first problems use pictures and small numbers. The last six are word problems about tanks, boxes, pools and planters. Write cubic units in every answer.

Grade 5 · Common Core State Standards: 5.MD.C.3, 5.MD.C.4, 5.MD.C.5

Volume practice worksheet: exercises 1 to 10

Exercise 1 – Count the cubes

Solve. The prism is built from unit cubes. Find its volume in cubic units.

A rectangular prism.

Exercise 2 – Layers of cubes

Solve. A prism is 4 cubes long, 3 cubes wide and 3 cubes high. (a) How many cubes are in each layer? (b) How many layers are there? (c) What is the volume?

A rectangular prism.

Exercise 3 – Volume in cubic feet

Find the volume of a prism with length 5 ft, width 3 ft and height 2 ft.

Exercise 4 – Volume in cubic centimeters

Find the volume of a prism that is 6 cm long, 4 cm wide and 5 cm high.

Exercise 5 – Volume in cubic inches

Find the volume of a prism with length 8 in, width 2 in and height 7 in.

Exercise 6 – Base area times height

Solve. The area of the base of a prism is 24 square units and its height is 5 units. Find the volume.

Exercise 7 – Using the base area

Solve. A prism has a base with an area of 18 square inches. Its height is 4 inches. Find its volume.

Exercise 8 – Find the height

Solve. A prism has volume $90\text{ cm}^{3}$, length 6 cm and width 5 cm. Find its height.

Exercise 9 – Find the missing edge

Solve. The base of a box has an area of 15 square feet. The volume of the box is 105 cubic feet. Find the height.

Exercise 10 – Volume of a cube

Solve. A cube has edges that are 4 m long. Find its volume.

Exercises 11 and up

Exercise 11 – Prism from a picture

Find the volume of the prism. Each small cube is 1 cubic unit.

A rectangular prism.

Exercise 12 – Fish tank

Solve. Maya’s fish tank is 20 inches long, 10 inches wide and 12 inches high. What is its volume?

Exercise 13 – Compare two boxes

Solve. Box A is 3 in by 7 in by 4 in. Box B is 6 in by 5 in by 3 in. Which box has the greater volume, and by how much?

Exercise 14 – Two prisms joined

Solve. A solid is made of two rectangular prisms, as shown. Find the volume of the whole solid.

A composite solid made of prism A and prism B.

Exercise 15 – Step-shaped solid

Find the volume of the solid made of two rectangular prisms.

A composite solid made of prism A and prism B.

Exercise 16 – Packing cubes

Solve. Sofia’s shipping box is 12 in by 9 in by 6 in. She packs it with cubes that are 3 inches on each edge. How many cubes fit?

Exercise 17 – Filling a pool

Solve. A pool is 20 ft long, 10 ft wide and 4 ft deep. It is filled with water to $\frac{3}{4}$ of its volume. How many cubic feet of water are in the pool?

Exercise 18 – Storage bin

Solve. A storage bin holds 360 cubic inches. It is 12 inches long and 6 inches wide. How tall is the bin?

Exercise 19 – Planter soil

Solve. Diego builds a planter from two boxes joined together: one is 6 ft by 3 ft by 2 ft, and the other is 3 ft by 3 ft by 1 ft. Soil costs $4 for each cubic foot. How much does it cost to fill the planter?

A composite solid made of prism A and prism B.

Exercise 20 – Cubes in a box

Solve. Ethan fills a box that is 10 cm by 8 cm by 6 cm with cubes that are 2 cm on each edge. (a) How many cubes fit in one layer? (b) How many layers are there? (c) How many cubes fit in all?

Key facts behind this volume practice worksheet

Key facts

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 practice worksheet

Work through the exercises in order: they go from simple to challenging. Write every step on paper, then compare with the solutions page and redo any exercise you missed the next day.

Download the volume practice worksheet as a PDF with the button below and keep it with your notes.

All Grade 5 chapters: Grade 5 math.

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