1. **State the problem:** We need to convert 1.24 ML (megaliters) of water into dm³ (cubic decimeters) and µm³ (cubic micrometers).
2. **Recall unit conversions:**
- 1 ML = $10^6$ L
- 1 L = 1 dm³
- 1 m = $10^6$ µm
3. **Convert ML to dm³:**
Since 1 L = 1 dm³, then
$$\text{Volume in dm}^3 = 1.24 \times 10^6 \text{ dm}^3$$
4. **Convert ML to µm³:**
First, convert 1.24 ML to m³:
$$1.24 \text{ ML} = 1.24 \times 10^6 \text{ L} = 1.24 \times 10^3 \text{ m}^3$$
Since 1 m = $10^6$ µm, then
$$1 \text{ m}^3 = (10^6 \text{ µm})^3 = 10^{18} \text{ µm}^3$$
Therefore,
$$\text{Volume in µm}^3 = 1.24 \times 10^3 \times 10^{18} = 1.24 \times 10^{21} \text{ µm}^3$$
5. **Final answers:**
- Volume in dm³: $1.24 \times 10^6$ dm³
- Volume in µm³: $1.24 \times 10^{21}$ µm³
This shows how to convert large volumes into different cubic units by using powers of ten and unit equivalences.
Volume Conversion Abb905
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