Final answer:
To find the length of one side of a cube given its surface area, use the formula 6 * (side length)^2 and solve for the side length. In this case, the length of one side is 19 inches.
Step-by-step explanation:
To find the length of one side of a cube, we can use the formula for the surface area of a cube, which is 6 * (side length)^2. Let's assume the length of one side of the cube is x. Given that the surface area is 2166 square inches, we can set up the equation 6x^2 = 2166. Solving this equation will give us the length of one side.
Dividing both sides by 6, we get x^2 = 361. Taking the square root of both sides, we find that x = 19. Therefore, the length of one side of the cube is 19 inches.
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