Density. Problems worksheet - Free Printable

Let’s solve each problem step by step.

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Problem 1:

You have a mineral with:
- Volume = 15 cm³
- Mass = 45 g

Density = Mass ÷ Volume
So, D = 45g ÷ 15cm³ = 3 g/cm³

✔ Its density is: 3 g/cm³

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Problem 2:

Different mineral:
- Volume = 15 cm³ (same as before)
- Mass = 75 g

D = 75g ÷ 15cm³ = 5 g/cm³

✔ Its density is: 5 g/cm³

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Problem 3:

Compare the two densities:
- First mineral: 3 g/cm³
- Second mineral: 5 g/cm³

The second one has higher density.

✔ The second mineral is more dense than the first one.

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Problem 4:

Cube of sugar:
- Mass = 12.8 grams
- Side length = 2 cm

Volume of a cube = side × side × side
→ Volume = 2 cm × 2 cm × 2 cm = 8 cm³

Now, Density = Mass ÷ Volume
→ D = 12.8g ÷ 8cm³ = 1.6 g/cm³

✔ mass = 12.8 g
✔ volume = 2 × 2 × 2 = 8 cm³
✔ Its density is: 1.6 g/cm³

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Final Answer:

1. Density = 3 g/cm³
2. Density = 5 g/cm³
3. The second mineral is more dense than the first one.
4. mass = 12.8 g, volume = 8 cm³, density = 1.6 g/cm³