1What is a cube number, and how does the picture behind the word differ from a square number?
2Explain how to find the cube root of 1728 by prime factorisation.
3Why does the last digit of a number tell you the last digit of its cube root, when the same trick does not work for square roots?
4A water tank is doubled in every direction. How much more water does it hold, and why?
5Why does every number have a cube root while negative numbers have no square root?