Box Volumes at the Post Office
0 / 13Box 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?
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?
12.
Which box has a volume of 120 cubic inches?
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.