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To find the volume of 5 grams of gold, you can use the density of gold, which is approximately 19.32 grams per cubic centimeter (g/cm³). Volume is calculated using the formula: Volume = Mass / Density. Therefore, the volume of 5 grams of gold is about 0.259 cubic centimeters (cm³) when you divide 5 grams by the density of 19.32 g/cm³.
Weight doesn't tell you the volume. One pound of air, one pound of water, and one pound of gold all have vastly different volumes.
To find the volume of a 100-pound brick of gold, we first need to know the density of gold, which is approximately 19.32 grams per cubic centimeter. Since 1 pound is about 453.592 grams, a 100-pound brick weighs approximately 45,359.2 grams. Using the formula for volume (volume = mass/density), the volume of the gold brick is about 2,347.7 cubic centimeters.
If you want to determine the density of an object, you would measure the mass and volume, then divide mass/volume to determine density. This can help determine the composition of the object. For example, if you find a rock that looks like a gold nugget. The density of gold is a known value, so one of the tests in determining if you are holding real gold would be to determine the density of your rock. This is one example. Another (maybe more 'real world' for you). Shipping and cargo companies measure the volume of packages as they go by on the conveyor belt, so that they can figure how many will fit in a particular truck.
It is impossible to answer the question since there are no units given. Volume of 10 what? The density of gold is 19.3 gcm-3 which may imply that the volume is given in SI units, but that could be cubic metres, cubic centimetres or cubic micrometres.