What is 7 cubed? What is 6 cubed? What is the difference?

Think about numbers that do not have a pair in the prime factorisation?

Think about the multiplication of number by itself three times.

Can we write all the factors as power of 3?

How much is needed yet to make it 5 cubed? Sum of which two numbers can take us there?

Can we do the prime facotrisation of 243?

Can we calculate the volume of cuboid? How many such cuboids are required to make a cube?

Lets try with numbers from 1.

How many times do we need to multiply the number with itself?

Well, we can try this also by working out the digits only at the ones place instead of solving the whole problem.