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Box Volumes at the Post Office

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Box Volumes at the Post Office

Use V = l × w × h and V = B × h to find how much each box holds.

Multiply length × width × height

Use V = l × w × h. Write each volume.

1.
A small shipping box is 6 inches long, 4 inches wide, and 3 inches tall.

V = 6 × 4 × 3 = cubic inches

2.
Leo mails a board game in a box that is 12 inches long, 10 inches wide, and 2 inches tall.

V = cubic inches

3.
A box for a pair of boots is 14 inches long, 8 inches wide, and 5 inches tall.

V = cubic inches

4.
A gift box is a cube. Each edge is 9 inches long.

V = cubic inches

5.
A box is 9 centimeters long, 5 centimeters wide, and 7 centimeters tall. Which expression gives its volume?
Question 5 options

Multiply base area × height

Use V = B × h. B is the area of the base of the box, and h is the height.

6.
The bottom of a mailing box has an area of 30 square inches. The box is 6 inches tall.

V = 30 × 6 = cubic inches

7.
A tall box for a rolled-up poster has a base area of 16 square inches. It stands on its base and is 25 inches tall.

V = cubic inches

8.
Rosa packs a box that is 10 inches long, 7 inches wide, and 4 inches tall. Find the base area first. Then find the volume.

B = 10 × 7 = square inches
V = B × 4 = cubic inches

9.
Match each box to its volume. B is the base area, and h is the height.

Compare and explain

Find each volume. Then answer the question.

10.
Find the volume of each box. Sort the boxes.
11.
Ana has two boxes. Box A is 8 inches long, 5 inches wide, and 4 inches tall. Box B has a base area of 36 square inches and is 5 inches tall. Which box has the greater volume, and by how much?
Question 11 options
12.
Which box has a volume of 120 cubic inches?
Question 12 options
13.
A box is 6 inches long, 5 inches wide, and 4 inches tall. Jada finds the area of the base first and then multiplies by the height. Kai multiplies 6 × 5 × 4. Will they get the same volume? Explain.