Density worksheet with problems and illustrations for calculating density of minerals and sugar.

Let's solve each problem step by step using the density formula:

> Density = Mass / Volume

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Problem 1:

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

$$
\text{Density} = \frac{45\, \text{g}}{15\, \text{cm}^3} = 3\, \text{g/cm}^3
$$

✔ Answer: Its density is 3 g/cm³

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Problem 2:

Different mineral with:
- Volume = 15 cm³
- Mass = 75 g

$$
\text{Density} = \frac{75\, \text{g}}{15\, \text{cm}^3} = 5\, \text{g/cm}^3
$$

✔ Answer: Its density is 5 g/cm³

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Problem 3:

Which mineral is more dense?

- First mineral: 3 g/cm³
- Second mineral: 5 g/cm³

Since 5 > 3, the second mineral is more dense.

✔ Answer:
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

#### Step 1: Find volume
Volume of a cube = side × side × side
$$
\text{Volume} = 2 \times 2 \times 2 = 8\, \text{cm}^3
$$

#### Step 2: Calculate density
$$
\text{Density} = \frac{12.8\, \text{g}}{8\, \text{cm}^3} = 1.6\, \text{g/cm}^3
$$

✔ Answer:
- mass = 12.8 g
- volume = 2 × 2 × 2 = 8 cm³
- D = 12.8 / 8 = 1.6 g/cm³

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✔ Final Answers Summary:

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

Let me know if you'd like this turned into a printable worksheet format!