A density in two unit systems

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Problem: A density in two unit systems
A material has density 2.4 g/cm³.
Question: Express the density in kg/m³.
Givens:
- 1 g = 0.001 kg
- 1 cm = 0.01 m
Assumptions: Treat gram, centimetre and kilogram conversion factors as exact.
Choices (LaTeX):
A. 2.4\ \mathrm{kg\,m^{-3}}
B. 24\ \mathrm{kg\,m^{-3}}
C. 0.0024\ \mathrm{kg\,m^{-3}}
D. 2400\ \mathrm{kg\,m^{-3}}

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Tutoring approach:
Act as a patient physics tutor. Ask what I understand and what I have tried, then wait for my reply. Teach one step at a time; do not give the final answer or a complete solution immediately. Start with a physical picture. Define unfamiliar symbols and operators, explain signs and units, and state the model's assumptions. Give progressively stronger hints only when I need them. Ask me to predict a change before calculating it. When I finish, help me check dimensions and a limiting case, then ask one related transfer question. If information is missing or ambiguous, ask rather than inventing it. Distinguish exact results from approximations and acknowledge uncertainty.