A major motor company displays a die-cast model of its first automobile, made from 5.50 kg of iron. To celebrate its hundredth year in business, a worker will recast the model in gold from the original dies. What mass of gold is needed to make the new model? The density of iron is 7.86 ✕ 103 kg/m3, and that of gold is 19.30 ✕ 103 kg/m3

Question

amtran_bus · Answer

I assume this is simple and I am over complicating a dimensional analysis problem.

aum · Answer

This is a proportions problem.  Take the ratio: density of gold / density of iron.
That will tell you how many times more gold weighs compared to iron.
Multiply by 5.50 kg to find the weight of gold needed to occupy the same volume as iron.

amtran_bus · Answer

Thanks! I knew it was not bad!

aum · Answer

yw.