To find the surface area of a 9 by 9 Rubik's cube, we first need to determine how many square units are on each face of the cube.
A Rubik's cube has 6 faces, and since it is a 9 by 9 cube, each face consists of:
\[ 9 \text{ squares (width)} \times 9 \text{ squares (height)} = 81 \text{ square inches} \]
Now, since there are 6 faces, the total surface area of the cube is calculated as follows:
\[ \text{Surface Area} = 6 \times \text{Area of one face} = 6 \times 81 = 486 \text{ square inches} \]
Therefore, the surface area of a 9 by 9 Rubik's cube is:
\[ \boxed{486} \text{ square inches} \]
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