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Volume Explorations Worksheet

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Volume Explorations Worksheet worksheet preview

Volume Explorations Worksheet

3D shapes and volume formulas illustration

📐 Part 1: Volume Calculations

Remember: Volume of cube = s³ | Volume of rectangular prism = l × w × h

1. Calculate the volume of a cube with side length 6 cm.

Answer: _______ cm³

2. Find the volume of a rectangular prism with length 8 cm, width 5 cm, and height 3 cm.

Answer: _______ cm³

3. A cube has a volume of 216 cm³. What is the length of each side?

Answer: _______ cm

4. Which rectangular prism has the largest volume?

Prism A: 4 cm × 6 cm × 5 cm

Prism B: 3 cm × 8 cm × 5 cm

Prism C: 2 cm × 7 cm × 9 cm

Show your working:

🔍 Part 2: Finding Unknown Dimensions

5. A rectangular prism has a volume of 240 cm³. Its length is 10 cm and width is 6 cm. Find the height.

Height = _______ cm

6. A storage box is shaped like a cube and has a volume of 343 cm³. What is the side length?

Side length = _______ cm

7. A fish tank has a volume of 1800 cm³. If the width is 12 cm and the height is 15 cm, what is the length?

Length = _______ cm

🏠 Part 3: Real-World Applications

8. Sarah is packing toys into a rectangular box that measures 20 cm × 15 cm × 12 cm. What is the volume of the box?

Volume = _______ cm³

9. A company makes cubic dice with a volume of 64 cm³ each. If they need to pack 8 dice into a rectangular box with length 16 cm and width 8 cm, what is the minimum height needed?

Minimum height = _______ cm

10. Explain in your own words how you would find the missing dimension of a rectangular prism if you know the volume and two other dimensions.

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