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Sets of cubes

1. Find the set of perfect cubes that between them use each of the digits 0 to 9 at least once whose sum is as small as possible. What is the sum of your set of cubes?

2. Find the set of perfect cubes that between them use each of the digits 0 to 9 exactly once whose sum is as small as possible. What is the sum of your set of cubes?

In answering either of these questions you may, if you wish, treat 0 as itself being a cube.

WIN £15 will be awarded to the sender of the first correct answer opened on Wednesday 9 December. The Editor’s decision is final. Please send entries to Enigma 1570, New Å®ÉúСÊÓƵ, Lacon House, 84 Theobald’s Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).

Answer to 1564 My favourite number: My favourite number is 3295

The winner Charl Morkel of Fig Tree Pocket, Queensland, Australia