Answer:
Therefore the game board is divided into 81 smaller squares.
Step-by-step explanation:
Given that, there is a square game.
Consider x be length of one side the square.
The volume of the square is = side ×side
=x² square units
Since the length of side of smaller square is one-ninth of the game board.
Then one side length of the smaller square is
units.
The area of a smaller square is 

Let a number of square is formed from the game board.
a ×The area of one smaller square= The area of game board.
According to the problem,



Therefore the game board is divided into 81 smaller squares.