Crane is British unit of volume (one crane =170.4742 L). Convert crane into SI units.

Options

A. `0.170474 m ^(3)`
B. `17.0474 m^(3)`
C. `0.00170474 m^(3)`
D. ` 1704.74 m^(3)`

Explanation

To convert the volume from cranes to SI units (cubic meters), follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Information**:
We know that 1 crane is equal to 170.4742 liters.

2. **Understand the SI Unit for Volume**:
The SI unit of volume is cubic meters (m³).

3. **Convert Liters to Cubic Meters**:
We need to convert liters to cubic meters. The conversion factor is:
\[ 1 \text{ liter} = 10^{-3} \text{ m}^3 \]

4. **Set Up the Conversion**:
To convert 170.4742 liters to cubic meters, we multiply by the conversion factor:
\[ 1 \text{ crane} = 170.4742 \text{ liters} \times 10^{-3} \text{ m}^3/\text{liter} \]

5. **Calculate the Result**:
Now perform the multiplication:
\[ 1 \text{ crane} = 170.4742 \times 10^{-3} \text{ m}^3 = 0.1704742 \text{ m}^3 \]

6. **Final Answer**:
Therefore, 1 crane is equal to 0.1704742 m³.

### Conclusion:
The conversion of 1 crane into SI units (cubic meters) gives us:
\[ \text{1 crane} = 0.1704742 \text{ m}^3 \]