Mathematics

Mathematics

Problem

Find, in m3\text{m}^3 , the volume of gas which will fit in a container with capacity 3.85×104 L3.85 \times 10^4 \text{ L} .
Intuitive explanation

Unit conversion is the real skill here—you're not calculating anything new, just translating between liters and cubic meters using the relationship that 1 m3=1000 L1 \text{ m}^3 = 1000 \text{ L}. Set up the conversion factor as a fraction so the unwanted units cancel, leaving you with the answer in the units you need.

Intuitive explanation

Unit conversion is the real skill here—you're not calculating anything new, just translating between liters and cubic meters using the relationship that 1 m3=1000 L1 \text{ m}^3 = 1000 \text{ L}. Set up the conversion factor as a fraction so the unwanted units cancel, leaving you with the answer in the units you need.

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