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Answer :
The area of each face of the cube is 196 square inches, which is determined by dividing the total surface area (1,176 square inches) by the number of faces on the cube (6).
The student is asked to calculate the area of each face of a cube based on the given surface area of the cube. As we know that a cube has 6 faces, and the surface area is the sum of the areas of all the faces, we divide the total surface area by 6 to find the area of each face.
To find the area of one face of the cube, we take the total surface area, which is 1,176 square inches, and divide it by 6 (because a cube has 6 identical faces):
Area of each face = Total surface area \/ Number of faces
Area of each face = 1,176 in2 \/ 6
Area of each face = 196 in2
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