The area of a 3-inch square is: 9 square inches.
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You can't. Square inch is a measure of area and inch is a measure of length.
Surface area of a 3 inch square is 54 inches.
There are no inches in an square inch. Square inches are units of area and inches are units of length, the two can not be equated.
A square inch is a measure of area. The area could have any shape but for simplicity consider squares and rectangles where the area is given by the product of length and width, lxw. The length and the width are linear measurements. You can assign any values you want to the length and width and their product will be an area. A square with sides of 1 inch will have an area of one square inch. A rectangle whose length is 2 inches and width 1/2 inch will also have an area of one square inch.
A 12-inch circle has an area of about 113.1 square inches.