Worksheet

Mail Room Math: Packing Boxes With Cubes

Grade 5 volume practice in a mail room. Students pack boxes with unit cubes and multiply edge lengths to find the volume of rectangular prisms.

Grade 5MathInteractive · Printable

Aligned to5.MD.C.5.a

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
12 questions
Classroom-ready

Details

Format: Interactive · Printable
Grade: Grade 5
Subject: Math
Question types: Fill in the blank, Multiple choice, Matching, Circle the answer, Short answer

About this worksheet

What students practice

Students find the volume of a rectangular prism by packing it with unit cubes layer by layer.
Students multiply the three edge lengths, or the base area by the height, to find volume.
Students show that multiplying the edge lengths in any order gives the same volume.

How to use

Start with the cube pictures so students see that each layer covers the base and the layers stack up to the height. Then let them multiply edge lengths for the boxes with no picture.

Curriculum

Common Core standard covered

5.MD.C.5.a

Find the volume of a right rectangular prism by packing it with cubes and by multiplying edge lengths.

Preview

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Mail Room Math: Packing Boxes With Cubes

Pack boxes with unit cubes, then multiply the edge lengths.

Pack the boxes

Each box is packed with unit cubes. Each cube is 1 cubic unit. Use the layers to find the volume.

Sofia packed this box with unit cubes.

Cubes in the bottom layer:
Number of layers:
Volume: cubic units

Which expression gives the volume of this box?

A. 5 + 2 + 3
B. 5 × 2
C. 5 × 2 × 3
D. (5 × 2) + 3

Marcus packed this tall box.

Area of the base: square units
Volume: cubic units

Kenji packed one layer of cubes in this box. The dashed lines show the top of the box.

Kenji needs more cubes.
The volume of the full box is cubic units.

Multiply the edge lengths

Multiply length × width × height to find each volume.

A shipping box is 8 inches long, 5 inches wide, and 4 inches tall.

Volume = cubic inches

Match each box to its volume.

7 in × 3 in × 2 in
6 in × 6 in × 3 in
10 in × 4 in × 5 in
9 in × 2 in × 4 in

A. 72 cubic inches
B. 200 cubic inches
C. 42 cubic inches
D. 108 cubic inches
E. 84 cubic inches

A box is 5 cm long, 4 cm wide, and 3 cm tall. Circle every expression that gives its volume.

5 × 4 × 35 + 4 + 320 × 320 + 312 × 59 × 3

Box A is 4 ft long, 3 ft wide, and 6 ft tall. Box B is 6 ft long, 4 ft wide, and 3 ft tall. Which is true?

A. Box A has the greater volume.
B. They have the same volume, 72 cubic feet.
C. Box B has the greater volume.
D. They have the same volume, 13 cubic feet.

Mail room problems

Use what you know about layers and edge lengths.

The bottom of Ana's box has an area of 18 square inches. The box is 6 inches tall.

Volume = cubic inches

10.

Jamal packs a box with 1-inch cubes. Each layer has 10 cubes. The full box holds 50 cubes.

The box is inches tall.

11.

Which box holds the most 1-inch cubes?

A. 8 in × 2 in × 3 in
B. 6 in × 5 in × 2 in
C. 3 in × 10 in × 2 in
D. 4 in × 4 in × 4 in

12.

Mateo packs a box with 1-centimeter cubes and counts them layer by layer. The bottom layer has 4 rows of 5 cubes, and he stacks 3 layers. Mia finds the volume by multiplying 4 × 5 × 3. Explain why they get the same volume.