Worksheet

Bake Sale Fudge Boxes: Counting Cubic Units

Grade 5 volume worksheet: find the volume of fudge boxes by counting unit cubes, filling partly packed boxes, and writing volume in cubic units.

Grade 5MathInteractive · Printable

Aligned to5.MD.C.3.b

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What’s included

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

Details

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

About this worksheet

What students practice

Students find the volume of a solid by counting the unit cubes that pack it with no gaps or overlaps.
Students find how many more unit cubes fill a partly packed box and state the full volume.
Students write volume in cubic units and explain why gaps change the count.

How to use

Encourage students to count by layers instead of one cube at a time. Real unit cubes help students check the hidden cubes in Part 1.

Curriculum

Common Core standard covered

5.MD.C.3.b

Understand that a solid packed with n unit cubes has a volume of n cubic units.

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Bake Sale Fudge Boxes: Counting Cubic Units

Pack boxes with unit cubes to find their volume.

Part 1: Count the Fudge Cubes

The class cuts fudge into unit cubes for the bake sale. Each fudge cube is 1 inch long, 1 inch wide, and 1 inch tall, so it has a volume of 1 cubic inch. Each box is packed full with no gaps or overlaps. Some cubes are hidden behind others.

Priya packs one layer of fudge cubes in a tray.

How many fudge cubes are in the tray? cubes
What is the volume of the fudge in the tray? cubic inches

What is the volume of the fudge in this box?

cubic inches

What is the volume of the fudge in this box?

cubic inches

Which way of finding the volume of this box of fudge is correct?

A. Add the edges: 3 + 3 + 3 = 9 cubic inches
B. Count only the cubes you can see: 19 cubic inches
C. Count by layers: 3 layers of 9 cubes = 27 cubic inches
D. Count the squares on all 6 faces: 54 cubic inches

Part 2: Fill the Gift Boxes

Marco is packing fudge cubes into gift boxes. The dashed lines show the empty part of each box. Each box will be packed full with no gaps or overlaps.

Marco has packed the bottom layer of this box.

How many fudge cubes are in the box now? cubes
How many more fudge cubes does Marco need to fill the box? cubes
What is the volume of the box when it is full? cubic inches

Marco has packed 2 layers of this box.

How many more fudge cubes does Marco need to fill the box? cubes
What is the volume of the box when it is full? cubic inches

This tall box has only its bottom layer packed. What is the volume of the box when it is full?

cubic inches

Part 3: Think About Packing

Answer each question about packing boxes with unit cubes.

Ava packs a box full with 16 fudge cubes. There are no gaps or overlaps. What is the volume of the box?

A. 16 square inches
B. 16 cubic inches
C. 16 inches
D. 4 cubic inches

Theo puts 15 unit cubes inside a box. He leaves empty gaps between some of the cubes. Which statement about the volume of the box is true?

A. The volume is exactly 15 cubic units.
B. The volume is less than 15 cubic units.
C. The volume is more than 15 cubic units.

10.

Each box is packed full of unit cubes with no gaps or overlaps. Match each box to its volume.

2 layers with 8 cubes in each layer
3 layers with 6 cubes in each layer
5 layers with 4 cubes in each layer
2 layers with 12 cubes in each layer

A. 20 cubic units
B. 24 cubic units
C. 16 cubic units
D. 18 cubic units

11.

Jada packs a box full with 12 unit cubes, with no gaps or overlaps. She says the volume of the box is 12 square units. Explain her mistake and write the correct volume.