Weekly Problem 29 - 2007

Stage: 3 and 4 Challenge Level: Challenge Level:1

The volume of $1$kg of platinum is $(1000/21.45)cm^3$, that is approximately $50cm^3$. So $1$ tonne of platinum has an approximate volume of $50,000cm^3$, or $1/20 m^3$. So about $5m^3$ of platinum is produced per year, and so the total volume ever produced is $250m^3%$. This is the same as a volume of a cuboid measuring $10m\times5m\times5m$, which is similar to the size of a house.

This problem is taken from the UKMT Mathematical Challenges.

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