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 + 3B. 5 × 2C. 5 × 2 × 3D. (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.

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

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 inB. 6 in × 5 in × 2 inC. 3 in × 10 in × 2 inD. 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.