physics
posted by randy .
Show that for 1 kg of pure gold the volume of water displaced is 51.8 cm^3
I know that the density of pure gold is 19.32 gm/cm^3 so 1 kg/19.32 gm/cm^3= 0.05175 ?
I have come along way with this problem and feel like I am close, but now I need help.
How do I get kg and gm to cancel?
How do I get this to be 51.8cm^3?

1 kg = 1,000 grams
so
1,000 grams (1 cm^3/19.32 grams) = 51.8 cm^3
always multiply by a ratio that is the same top and bottom but in different units so that the units cancel
for example if I were given this the other way as 51.8 cm^3 of gold, then
51.8 cm^3 (19.32 grams/1cm^3) = 1000 grams because the cm^3 cancels top and bottom and we are left with grams.
Respond to this Question
Similar Questions

Chemistry
The density of pure gold is 19.3 g/centimeter cube. A quantity of what appears to be gold has a mass of 465 grams and a volume of 26.5 mL. Is the substance likely to be pure gold? 
Physics, still don't get it!
The "karat" is a dimensionless unit that is used to indicate the proportion of gold in a goldcontaining alloy. An alloy that is one karat gold contains a weight of pure gold that is one part in twentyfour. What is the volume of gold … 
physical science
A 50.g bracelet is suspected pf being gold plated lead instead of pure gold. It was dropped into a full to the rim glass of water and 4cm to the third power overflowed. Is the the bracelet pure gold. Explain. (Density of gold=19 g/cm … 
physics
According to legend, to determine whether the king's crown was made of pure gold, Archimedes measured the crown's volume by determining how much water it displaced. The density of gold is 19.3 g/cm^3. If the crown's mass was 6.00 * … 
Physiology
Pure gold has a density of 19 g/ml. If you bought a gold ring and found it had a volume of 0.3 ml and it weighed 5.7 grams, is it real gold? 
Physics
Archimedes purportedly used his principle to verify that the king's crown was pure gold, by weighing the crown while it was submerged in water. Suppose the crown's actual weight was 14.0 N. The densities of gold, silver, and water … 
Physics
what is the volume of water displaced for 1.1 of pure gold. 
Chemistry 101
A crown is determine to weigh 2.65 kg. When this crown is submerged in a full basin of water, the overflow is found to be 145 mL. Is the crown pure gold or a goldsilver alloy? 
chemistry
A 9.35 gram of ring with it's volume of 0.654 cm3 is an alloy of gold and with density of gold and silver respectively 19.3 g/cm3 and 10.5 g/cm3 assume there is no change in volume when pure metals are mixed. The volume of gold is? 
chemistry
A 9.35 gram of ring with it's volume of 0.654 cm3 is an alloy of gold and with density of gold and silver respectively 19.3 g/cm3 and 10.5 g/cm3 assume there is no change in volume when pure metals are mixed. calculate volume of gold?