Could somebody explain this through dimensional analysis? I seem to be getting this wrong. I know the answer is 169 lb/ft though I seem to be messed it up

2.7g > 1000 gram, to 1kg > 1 lb

2.54 cm3 inch - 12 inch - foot

Then multiply top divide bottom

Even when cubing these I get it wrong.

1. ( 8 pts) In scientific work, density is often reported in g/cm3, but engineers historically use the unit pounds per cubic foot (lbb/ft3). Given that the density of aluminum at room temperature is 2.70g/cm3, what is its density in lb/ft3 ? 1.000lb=0.4536kg. 1 inch =2.54cm exactly. 1ft=12 inches