Chapter SH, Problem 1.3APP

To determine

To Convert: $2,540{\text{ cm}}^3$ into liters.

Answer to Problem 1.3APP

There are $2.54$ liters in $2,540{\text{ cm}}^3$ .

Explanation of Solution

Given data:

Volume in cubic centimeters $=2,540{\text{ cm}}^3$

Formula used:

  $\begin{array}{l}\text{1 liter}=1000\text{ militeres}\\ \text{1 mililiter}=1\text{ cubic centimeter}\end{array}$

Calculation:

As per the problem,

Volume in liters = Volume in ${\text{cm}}^3\times \frac{\text{1 ml}}{1{\text{ cm}}^3}\times \frac{1\text{ L}}{1000\text{ mL}}$

Substituting, volume in cubic centimeters $=2,540{\text{ cm}}^3$

Volume in liters $={\text{2540 cm}}^3\times \frac{\text{1 ml}}{1{\text{ cm}}^3}\times \frac{1\text{ L}}{1000\text{ mL}}=2.54\text{ L}$

Conclusion:

There are $2,540{\text{ cm}}^3$ in $2.54$ liters.