A firkin is an old British unit of volume equal to 9 gal. lons. How many cubic meters are there in 12.4 firkins?

1 Answer
Sep 23, 2016

Answer:

#0.4224" m"^3#.

Explanation:

One gallon is #3.785# liters. One liter is one cubic decimeter (deci is the old metric prefix for one tenth), thus #0.001# cubic meter. Then

#(12.4" firkin")({9 " gal"}/"firkin")({3.785" L"}/"gal")({0.001" m"^3}/"L")=0.4224" m"^3#

The numbers #9# and #12.4# are treated as exact for this problem, but the conversion factor of #3.785# liters per gallon is rounded to four significant digits. So the final answer is likewise rounded.