Volume Mass
1. **Problem statement:** We want to solve parts c and d related to a volume with given parameters.
2. Given data:
- Surface area = 400 cm²
- Length = 15 cm
- Mass = 36.5 kg
- Density = 1025 kg/m³
- Mass (c part) = 37 kg
3. **Part c:** Find the volume of the object when mass is 37 kg.
4. Using the formula for density, $$\rho = \frac{m}{V}$$, where $\rho$ is density, $m$ is mass, and $V$ is volume.
5. Rearranging for volume: $$V = \frac{m}{\rho}$$.
6. Substitute values for part c: $$V = \frac{37}{1025} \approx 0.0361\text{ m}^3$$.
7. Convert cubic meters to cubic centimeters (1 m³ = 1,000,000 cm³):
$$0.0361 \times 1,000,000 = 36100 \text{ cm}^3$$.
8. **Part d:** Calculate the distance or parameter related to weight or another measurement. Since the original question is ambiguous but references weight, we clarify that weight = mass × gravity. Using mass 36.5 kg:
9. Weight, $$W = m \times g = 36.5 \times 9.8 = 357.7 \text{ N}$$.
10. Alternatively, if part d asks for a volume or weight variation, please specify for precise calculation.
**Final answers:**
- (c) Volume when mass is 37 kg is approximately $$36100 \text{ cm}^3$$.
- (d) Weight corresponding to mass 36.5 kg is $$357.7 \text{ N}$$ assuming earth gravity.