To solve this question, the user needs to know the properties of both squares and hexagons.
A square is a four-sided polygon with all sides of equal length and all interior angles equal to 90 degrees. A regular hexagon is a six-sided polygon with all sides of equal length and all interior angles equal to 120 degrees.
It is known that a square can fit inside a circle whose diameter is equal to the length of the square's sides. The circle circumscribing a regular hexagon has a diameter equal to the length of the hexagon's sides.
Therefore, if the square's sides each measure ten centimeters, then the diameter of the circumscribing circle is also ten centimeters. Since the square can fit inside this circle, it can also fit inside the regular hexagon whose sides each measure ten centimeters.