Answer
20.66 x $10^{8}$ $m^{3}$
Work Step by Step
Strategy: This problem requires to convert barrel to cubic meter. For this you first convert to gallon, then qt and cubic meter.
As 1 barrel = 42 gallons, to convert 1.3 x $10^{10}$ barrels to gallons use factor $\frac{42 (gallons)}{1 (barrel}$:
1.3 x $10^{10}$ barrels x $\frac{42 (gallons)}{1 (barrel}$ = 54.6 x $10^{10}$ gal
Convert to qt using factor $\frac{4 (qt)x}{1 (gal}$ :
54.6 x $10^{10}$ gal x $\frac{4 (qt)x}{1 (gal}$ = 218.4 x $10^{10}$ qt
Convert to $m^{3}$ using factor $\frac{9.46\times10^{-4}m^{3}}{1 (qt)}$ :
218.4 x $10^{10}$ qt x $\frac{9.46\times10^{-4}m^{3}}{1 (qt)}$ = 20.66 x $10^{8}$ $m^{3}$
