Volume and Density WORKSHEET - Bvsd - Free Printable

Let’s solve each problem step by step. We’ll use the formula for volume of a rectangular box (or cube):

Volume = length × width × height

For cubes, all sides are equal, so:

Volume = side × side × side = side³

Also remember:
- 1 cm³ = 1 mL
- 1 L = 1000 cm³ → so to convert cm³ to liters, divide by 1000
- For mm: 1 cm = 10 mm → so 1 cm³ = 1000 mm³ → but we can also convert mm to cm first if needed.

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Problem 1:
Box: 1m × 5m × 6m
→ Volume = 1 × 5 × 6 = 30 m³

Problem 2:
Box: 2cm × 7cm × 3cm
→ Volume = 2 × 7 × 3 = 42 cm³

Problem 3:
Cube: 5cm on each side
→ Volume = 5 × 5 × 5 = 125 cm³

Problem 4:
Cube: 1cm on each side
→ Volume = 1 × 1 × 1 = 1 cm³

Problem 5:
Box: 3cm × 6cm × 4cm
→ Volume = 3 × 6 × 4 = 72 cm³

Problem 6:
Box: 8mm × 10cm × 5cm
️ Units mixed! Convert mm to cm:
8 mm = 0.8 cm
Now: 0.8 cm × 10 cm × 5 cm =
First: 0.8 × 10 = 8
Then: 8 × 5 = 40 cm³

*(Alternatively, you could convert everything to mm: 8mm × 100mm × 50mm = 40,000 mm³ → then divide by 1000 to get cm³ → same answer: 40 cm³)*

Problem 7:
Box: 2cm × 3cm × 4cm → in mL
Volume = 2 × 3 × 4 = 24 cm³
Since 1 cm³ = 1 mL → 24 mL

Problem 8:
Cube: 5cm each side → in mL
Volume = 5³ = 125 cm³ → 125 mL

Problem 9:
Box: 5cm × 20cm × 5cm → in Liters
Volume = 5 × 20 × 5 = 500 cm³
Convert to liters: 500 ÷ 1000 = 0.5 L

Problem 10:
Cube: 10cm each side → in Liters
Volume = 10³ = 1000 cm³
1000 cm³ = 1 L

Problem 11:
Cube: 1m each side → in Liters
First, find volume in m³: 1 × 1 × 1 = 1 m³
But we need liters. Let’s convert meters to centimeters:
1 m = 100 cm → so 1 m³ = 100 cm × 100 cm × 100 cm = 1,000,000 cm³
Now convert cm³ to liters: 1,000,000 ÷ 1000 = 1000 L

*(Note: 1 m³ = 1000 L is a standard conversion — good to remember!)*

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Final Answer:
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