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To calculate the area of one face of the cube, we need to find the area of the circle represented by the top or bottom face of the cylinder, which is πr^2, where r is the radius of the circle. Since the radius is 7 inches, the area of one face of the cube is:
Area = π(7^2) = 49π ≈ 153.94 square inches
To determine the total surface area of the cube, we need to find the area of all six faces. Since each face has the same area, we can simply multiply the area of one face by 6:
Total Surface Area = 6 * 49π = 294π ≈ 922.22 square inches
Therefore, the area of one face of the cube is approximately 153.94 square inches, and the total surface area of the cube is approximately 922.22 square inches.