Answer
The surface area (SA) of a cube is given by the formula: SA = 6s². From this, we can derive the side length s as follows: s = sqrt(SA/6). For the cube with a surface area of 1,200 square inches, the side length calculates to: s = sqrt(1200/6) = 10,2 inches. For the cube with a surface area of 768 square inches, the side length computes to: s = sqrt(768/6) = 8,2 inches. The difference in side lengths between the two cubes therefore is: 10,2 Р8,2 = 2,2 inches. When rounded to the nearest tenth, the difference in side lengths is approximately 2.8 inches.
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