Question

If one-gallon equals \[3.78\] liters, then how many liters are there in three gallons?

Answer 1

Hint: In the given question, we have been given a relation between two units of measurement. We have been given something like, there are these many units of first quantity in one unit of the second quantity, then how many units of the first quantity are there in the given number of units of the second quantity. To do that, we are simply going to multiply the given units of the second quantity with the number of units of first quantity and second quantity’s relation.

Complete step by step answer:
If \[x = na\], then
\[mx = \left( {n \times m} \right)a\]
We have been given that,
\[1gal = 3.78l\]
We have to find the number of liters in \[3\] gallons.
So, to do that we simply multiply both sides of the given relation by \[3\], so,
\[3gal = 3.78 \times 3 = 11.34l\]

Note: In the given question, we had to convert some given number of gallons to liters. We need to know that the unit ‘gallon’ is not a metric unit, so it cannot be converted to other such units by multiplying them with the power of ten. It is an imperial unit and so, we need to pay attention and specifically remember the conversion value so that we can convert it to other units and not get stuck.