What is the volume in liters of 1.000 oz, given that 1 L = 1.0567 qt and 1 qt = 32 oz (exactly)?

A unit conversion factor is a ratio of two equivalent amounts expressed in different measuring units.

It is given that 1 L = 1.0567 qt and 1 qt = 32 oz.

As conversion factors, we need to employ the equivalency "factoids. A factoid is an essential parameter, which includes the given units. Put the supplied unit in the denominator where it will cancel out.

\(\frac{{1\,oz}}{1} \times \frac{{1\,qt}}{{32\,oz}} = \frac{1}{{32}}qt.\)

As it can be seen, "oz" on the top cancels "oz" in the bottom, leaving the equation with "qt." We can stop here because we've converted from oz to qt.But, that's not what the task demanded of us, so we need to locate another factoid, this one involving "qt."

HINT: There is a factoid regarding L and qt.

\(\frac{{1\,oz}}{1} \times \frac{{1\,qt}}{{32\,oz}} \times \frac{{1\,lt}}{{1.0567\,qt}} = \frac{1}{{32}}qt \times \frac{{1\,lt}}{{1.0567\,qt}}.\)

Multiply all the numbers in the numerators, then divide by each number in the denominators:

\(\begin{array}{c}\frac{{1 \times 1\,}}{{32 \times 1.0567\,}}lt = 0.02956\,L\\ = 2.956 \times {10^{ - 2}}\;L.\\\end{array}\)