# Dimensional analysis question

The piston displacement of a car engine is given as 1.80 liters (L). Using only the facts that 1.00L = 1000 cm^3 and 1.00 in. = 2.54 cm, express this volume in cubic inches. So [tex] 1.80 L \times (\frac{1000 cm^{3}}{1.00 L})(\frac{1.00 in}{2.54 cm}) [/itex]. Would I have to cube the last term to cancel out the units?

Thanks