MathematicsFreePrintable

Volume Practice Worksheet

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Volume Practice Worksheet

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Learning Targets & Notes

I can...

- I can explain volume as the amount of space a solid figure takes (counting unit cubes).

- I can use the formula V = l × w × h to find the volume of a rectangular prism.

Success criteria:

- Count unit cubes correctly or use V = l × w × h to compute volume.

- Identify length, width, and height from diagrams or word problems.

Differentiation: Students who need support should use unit cubes or drawings to count layers. Students ready for challenge should solve missing-dimension or composite-shape problems.

Extension: Create a composite prism from two rectangular prisms and find the total volume; sketch and explain your method.

📚 Part 1: Multiple Choice & Quick Calculations

1. What is the volume of a rectangular prism that is 3 units long, 2 units wide, and 4 units high?

9 cubic units

12 cubic units

24 cubic units

36 cubic units

2. A solid is built from unit cubes in a box 5 units long, 2 units wide, and 1 unit high. What is the volume?

7 cubic units

8 cubic units

10 cubic units

20 cubic units

3. Which formula gives volume of a rectangular prism?

V = l + w + h

V = 2(lw + lh + wh)

V = l × w × h

V = (l × w) ÷ h

4. Calculate the volume. Show your work.

Length = 6 in, Width = 3 in, Height = 2 in. V = _______ cubic inches

5. Check all that apply:

Volume is measured in cubic units (like cubic inches).

Volume tells how much space a solid takes up.

Two solids with the same surface area must have the same volume.

You can find volume by counting unit cubes.

✏️ Part 2: Word Problems & Reasoning

6. A fish tank measures 24 in by 10 in by 8 in. How many cubic inches of water fill the tank? Show your multiplication steps.
7. A solid has 3 identical layers. Each layer is a 4 by 3 array of unit cubes. How many unit cubes in the whole solid? Draw one layer and write the total.
8. Missing dimension challenge: A rectangular prism has volume 90 cubic units. Its length is 5 units and width is 3 units. What is the height?
9. Extension (optional): Sketch a composite shape made of two rectangular prisms. Label dimensions, then calculate the total volume and explain your steps.

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