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Density Worksheet with several problems related to density, mass, and volume. Since I can't view images directly, I'll solve the problems based on the text you provided. Here's the worksheet content as interpreted:
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DENSITY WORKSHEET
Name: ________________________
Date: ________________________
Instructions:
*Use the triangle to help you solve each problem.*
*(Density = Mass / Volume)*
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1. Find the density of a substance whose volume is 3 m³ and whose mass is 900 kg.
2. Calculate the mass of a substance whose density is 7 g/cm³ and whose volume is 15 cm³.
3. Find the volume of a substance whose density is 42 kg/m³ and mass is 8.4 kg.
4. Find mass of a substance whose density is 1 g/cm³ and volume is 2.50 mL.
5. Find the volume of a substance whose density is 1.80 g/cm³ and mass is 25.6 g.
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Let’s solve each problem step by step using the formula:
>
Density (ρ) = Mass (m) / Volume (V)
> Rearranged forms:
> - Mass = Density × Volume
> - Volume = Mass / Density
We’ll use appropriate units and conversions where needed.
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Problem 1:
Find the density of a substance whose volume is 3 m³ and whose mass is 900 kg.
- Given:
- Mass = 900 kg
- Volume = 3 m³
- Use:
$$
\text{Density} = \frac{\text{Mass}}{\text{Volume}} = \frac{900\ \text{kg}}{3\ \text{m}^3} = 300\ \text{kg/m}^3
$$
✔ Answer: 300 kg/m³
---
Problem 2:
Calculate the mass of a substance whose density is 7 g/cm³ and whose volume is 15 cm³.
- Given:
- Density = 7 g/cm³
- Volume = 15 cm³
- Use:
$$
\text{Mass} = \text{Density} \times \text{Volume} = 7\ \text{g/cm}^3 \times 15\ \text{cm}^3 = 105\ \text{g}
$$
✔ Answer: 105 g
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Problem 3:
Find the volume of a substance whose density is 42 kg/m³ and mass is 8.4 kg.
- Given:
- Density = 42 kg/m³
- Mass = 8.4 kg
- Use:
$$
\text{Volume} = \frac{\text{Mass}}{\text{Density}} = \frac{8.4\ \text{kg}}{42\ \text{kg/m}^3} = 0.2\ \text{m}^3
$$
✔ Answer: 0.2 m³
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Problem 4:
Find mass of a substance whose density is 1 g/cm³ and volume is 2.50 mL.
- Note: 1 mL = 1 cm³ → So, 2.50 mL = 2.50 cm³
- Given:
- Density = 1 g/cm³
- Volume = 2.50 cm³
- Use:
$$
\text{Mass} = 1\ \text{g/cm}^3 \times 2.50\ \text{cm}^3 = 2.50\ \text{g}
$$
✔ Answer: 2.50 g
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Problem 5:
Find the volume of a substance whose density is 1.80 g/cm³ and mass is 25.6 g.
- Given:
- Density = 1.80 g/cm³
- Mass = 25.6 g
- Use:
$$
\text{Volume} = \frac{25.6\ \text{g}}{1.80\ \text{g/cm}^3} = 14.222...\ \text{cm}^3
$$
- Round appropriately:
→ 25.6 has 3 sig figs, 1.80 has 3 sig figs → answer should have 3 sig figs.
$$
\text{Volume} ≈ 14.2\ \text{cm}^3
$$
✔ Answer: 14.2 cm³
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✔ Final Answers Summary:
1.
300 kg/m³
2.
105 g
3.
0.2 m³
4.
2.50 g
5.
14.2 cm³
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Parent Tip: Review the logic above to help your child master the concept of calculating density worksheet middle school.
