MathDB

A cake in the shape of a rectangular prism has dimensions

6\text{ cm}\times14\text{ cm}\times21\text{ cm}

. It is cut into

1764

equally sized cubes such that each cube is

1\text{ cm}^3

. Andy the ant starts at one corner of the cake and eats through the cake in a straight line to the opposite corner of the cake. How many of the

1\text{ cm}^3

cubes does Andy bite through?

Problem Statement