Few materials have as great value as gold. You have inherited an old gold jewelry, but will pledge it to get money for a new car. Using Arkhimedes' law you find that jewelry has a volume corresponding to 7.10-^5 m^3 Gold has a price per kilo of NOK. 207 000, -. How much money can you get for the jewelry ?
Solution:
The price can be found by volume x density x unit price.
The volume is given, the price is given, the problem is the density.
So I looked up the density in Wikipedia as follow:
https://en.wikipedia.org/wiki/Gold
| Density near r.t. | 19.30 g/cm3 |
|---|
To solve the puzzle, we need to also convert the units.
$ 1kg/m^3 = 1000g / m^3 = 1000g /(100 cm)^3 = 1000g/1000000cm^3 = 1g/1000cm^3 $.
Therefore, $ 1 g/cm^3 = 1000kg/m^3 $
Now we have all the pieces, the answer is
$ 7 \times 10^{-5} \times 19.30 \times 1000 \times 207000 = 279657 NOK $
By the way, NOK is not a valid currency code?
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