Volume and Density WORKSHEET - Bvsd - Free Printable

Absolutely! Let’s solve each problem step by step, using the formula for volume of a rectangular box or cube:

> Volume = Length × Width × Height

We’ll also pay close attention to units — as the worksheet reminds us: “You must have the correct UNITS in order to get credit!”

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Problem 1:

What is the volume of a box measuring 1m × 5m × 6m?

- All dimensions are in meters (m).
- Volume = 1 × 5 × 6 = 30 m³

✔ Answer: 30 m³

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Problem 2:

What is the volume of a box measuring 2cm × 7cm × 3cm?

- All dimensions are in centimeters (cm).
- Volume = 2 × 7 × 3 = 42 cm³

✔ Answer: 42 cm³

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Problem 3:

What is the volume of a cube measuring 5cm on each side?

- Cube → all sides equal → 5cm × 5cm × 5cm
- Volume = 5³ = 125 cm³

✔ Answer: 125 cm³

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Problem 4:

What is the volume of a cube measuring 1cm on each side?

- Volume = 1 × 1 × 1 = 1 cm³

✔ Answer: 1 cm³

*(Note: This is also equal to 1 mL — useful for later problems.)*

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Problem 5:

What is the volume of a box measuring 3cm × 6cm × 4cm?

- Volume = 3 × 6 × 4 = 72 cm³

✔ Answer: 72 cm³

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Problem 6:

What is the volume of a box measuring 8mm × 10cm × 5cm? (Be careful – units!)

⚠️ Units are mixed! We must convert everything to the same unit.

Let’s convert mm to cm:
→ 8 mm = 0.8 cm

Now calculate:
- Volume = 0.8 cm × 10 cm × 5 cm = 40 cm³

✔ Answer: 40 cm³

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Problem 7:

What is the volume in mL of a box measuring 2cm × 3cm × 4cm?

First, find volume in cm³:
- Volume = 2 × 3 × 4 = 24 cm³

Use conversion:
→ 1 cm³ = 1 mL

So, 24 cm³ = 24 mL

✔ Answer: 24 mL

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Problem 8:

What is the volume in mL of a cube measuring 5cm on each side?

Volume = 5 × 5 × 5 = 125 cm³

Since 1 cm³ = 1 mL → 125 mL

✔ Answer: 125 mL

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Problem 9:

What is the volume in L of a box measuring 5cm × 20cm × 5cm?

First, volume in cm³:
- 5 × 20 × 5 = 500 cm³

Convert to liters:
→ 1 L = 1000 cm³, so:

500 cm³ ÷ 1000 = 0.5 L

✔ Answer: 0.5 L

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Problem 10:

What is the volume in L of a cube measuring 10cm on each side?

Volume = 10 × 10 × 10 = 1000 cm³

Convert to liters:
→ 1000 cm³ = 1 L

✔ Answer: 1 L

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Problem 11:

What is the volume in L of a cube measuring 1m on each side?

Volume = 1m × 1m × 1m = 1 m³

Convert m³ to L:
→ 1 m³ = 1000 L *(since 1 m = 100 cm → 1 m³ = 100×100×100 = 1,000,000 cm³ = 1000 L)*

✔ Answer: 1000 L

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## ✔ Final Answers Summary:

1. 30 m³
2. 42 cm³
3. 125 cm³
4. 1 cm³
5. 72 cm³
6. 40 cm³
7. 24 mL
8. 125 mL
9. 0.5 L
10. 1 L
11. 1000 L

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📌 Key Takeaways:
- Always check and convert units before multiplying!
- 1 cm³ = 1 mL
- 1000 cm³ = 1 L
- 1 m³ = 1000 L

Let me know if you want help with density calculations next — since the worksheet mentions it! 😊