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A volume of 50.7 m(3) can be expressed i...

A volume of `50.7 m_(3)` can be expressed in litres as

A

50.7 litres

B

507 litres

C

5070 litres

D

50700 litres

Text Solution

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The correct Answer is:
To convert the volume from cubic meters (m³) to liters, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Conversion Factor**: - We know that 1 cubic meter (m³) is equal to 1000 liters (L). This can also be expressed as: \[ 1 \, \text{m}^3 = 10^3 \, \text{L} \] 2. **Identify the Given Volume**: - The volume given in the problem is 50.7 m³. 3. **Set Up the Conversion**: - To convert 50.7 m³ to liters, we multiply by the conversion factor: \[ \text{Volume in liters} = \text{Volume in m}^3 \times 10^3 \, \text{L/m}^3 \] 4. **Perform the Calculation**: - Substitute the given volume into the equation: \[ \text{Volume in liters} = 50.7 \, \text{m}^3 \times 10^3 \, \text{L/m}^3 \] - Calculate: \[ \text{Volume in liters} = 50.7 \times 1000 = 50700 \, \text{L} \] 5. **Final Answer**: - Therefore, the volume of 50.7 m³ expressed in liters is: \[ 50700 \, \text{L} \]
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