Divide 1 Cube into 20 Cubes!

From a 1987 Hungarian math contest for 11-year-olds:

How can a 3 × 3 × 3 cube be divided into 20 cubes (not necessarily the same size)?

Cut this way to get 20 cubes....

Division of 1 Cube into 20 cubes

What was the challenge?

Mark cube for cutting 3 x 3 x 3 = 27 cubes. Cut any section of 2x2x2 = 8 cubes & cut rest of 27-8 = 19 cubes. So these 19 cubes plus 1 cube of 2x2x2 give us total number of 20 cubes. 

Even/Even x Even - Odd ?

Can an even number, divided by another even number, times another even number ever equal an odd number?

The three even numbers can be different numbers.



Did you too think same? 

Even/Even X Even = Odd!

What was the question?

Absolutely, it's possible! Take a look at the examples below.

Totally depends on the what result of Even/Even comes out & what is the Even number that is being multiplied with the result.