Let's solve each problem step by step using the formula for
density:
>
Density (D) = Mass (M) ÷ Volume (V)
> or
>
D = M / V
---
1. Rock with volume 12 cm³ and mass 84 g
Given:
- Mass = 84 g
- Volume = 12 cm³
$$
D = \frac{84\ \text{g}}{12\ \text{cm}^3} = 7\ \text{g/cm}^3
$$
✔ Its density is 7 g/cm³
---
2. Rock with volume 24 cm³ and mass 192 g
Given:
- Mass = 192 g
- Volume = 24 cm³
$$
D = \frac{192\ \text{g}}{24\ \text{cm}^3} = 8\ \text{g/cm}^3
$$
✔ Its density is 8 g/cm³
---
3. Which rock is more dense?
- Rock 1: 7 g/cm³
- Rock 2: 8 g/cm³
Since 8 > 7, the
second rock is more dense.
✔ The SECOND rock is more dense than the FIRST rock.
---
4. Rectangular brick with weight 2160 g
Dimensions: 20 cm × 9 cm × 6 cm
Step 1: Calculate volume
$$
\text{Volume} = 20\ \text{cm} \times 9\ \text{cm} \times 6\ \text{cm} = 1080\ \text{cm}^3
$$
Step 2: Use density formula
$$
D = \frac{2160\ \text{g}}{1080\ \text{cm}^3} = 2\ \text{g/cm}^3
$$
✔ Its density is 2 g/cm³
---
5. Marble block: 10 cm × 10 cm × 10 cm, mass = 4000 g
Mass: 4000 g
Volume:
$$
10 \times 10 \times 10 = 1000\ \text{cm}^3
$$
$$
D = \frac{4000\ \text{g}}{1000\ \text{cm}^3} = 4\ \text{g/cm}^3
$$
✔ Its density is 4 g/cm³
---
✔ Final Answers Summary:
1. Density =
7 g/cm³
2. Density =
8 g/cm³
3. The
SECOND rock is more dense than the
FIRST rock.
4. Volume = 20 × 9 × 6 =
1080 cm³, Density =
2 g/cm³
5. Mass =
4000 g, Volume = 10 × 10 × 10 =
1000 cm³, Density =
4 g/cm³
Let me know if you'd like this formatted as a completed worksheet!
Parent Tip: Review the logic above to help your child master the concept of mass volume density worksheet 5th grade.
