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Box Volumes at the Post Office worksheet preview

Worksheet

Box Volumes at the Post Office

Grade 5 volume practice: students use V = l × w × h and V = B × h to find the volume of shipping boxes at the post office.

Grade 5MathInteractive · Printable

Aligned to5.MD.C.5.b

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What’s included

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

Details

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

About this worksheet

What students practice

  • Students find the volume of a rectangular prism by multiplying its length, width, and height.
  • Students find the volume of a rectangular prism by multiplying the base area by the height.
  • Students compare box volumes and explain why both volume formulas give the same answer.

How to use

Review that volume is measured in cubic units, then have students write the formula they use before each problem. Use the sort and the last question for partner talk.

Curriculum

Common Core standard covered

5.MD.C.5.b

Use the formulas V = l × w × h and V = b × h to find volumes.

Preview

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Name Date

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?
  • A. 9 + 5 + 7
  • B. 9 × 5
  • C. (9 × 5) + 7
  • D. 9 × 5 × 7

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.
  1. B = 24 square centimeters, h = 7 centimeters
  2. B = 50 square centimeters, h = 3 centimeters
  3. B = 18 square centimeters, h = 10 centimeters
  4. B = 35 square centimeters, h = 6 centimeters
  1. A. 180 cubic centimeters
  2. B. 210 cubic centimeters
  3. C. 168 cubic centimeters
  4. D. 150 cubic centimeters

Compare and explain

Find each volume. Then answer the question.

10.
Find the volume of each box. Sort the boxes.
5 in × 5 in × 5 in10 in × 4 in × 6 inBase area 40 square inches, height 5 inches12 in × 3 in × 5 inBase area 22 square inches, height 9 inches7 in × 6 in × 5 in
Less than 200 cubic inches200 cubic inches or more
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?
  • A. Box B, by 20 cubic inches
  • B. Box A, by 20 cubic inches
  • C. They have the same volume.
12.
Which box has a volume of 120 cubic inches?
  • A. 3 in × 8 in × 6 in
  • B. 4 in × 5 in × 7 in
  • C. 4 in × 5 in × 6 in
  • D. 10 in × 2 in × 5 in
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.

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