The Mathsbombe Competition

2018 edition. From the people behind the Alan Turing Cryptography Competition.
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Problem 5

You pay for a 40p chocolate bar using a 1 pound coin. What is the minimum possible volume that could be occupied by your change?

You should base the calculation on the geometric data provided by the Royal Mint and neglect any surface details such as patterns and milling. You may assume that all coins were minted after the year 2000.

Please enter you answer in cubic millimetres to 4 significant figures.

Mathsbombe Competition 2018 is organised by the The Department of Mathematics at The University of Manchester.
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