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Answer :
To find the area of each face of a cube with a total surface area of 1,176 square inches, divide the total surface area by 6 (the number of cube faces). Each face of the cube has an area of 196 square inches.
The question asks to find the area of each face of a cube-shaped cooler with a total surface area of 1,176 square inches. To do this, we apply the formula for the surface area of a cube:
Surface Area = 6 × (side length)2.
Since we know the total surface area, we can rearrange the formula to solve for the area of one face by dividing the total surface area by 6, which represents the six faces of a cube.
So, we calculate the area of each face as:
Area of One Face = Total Surface Area "/" Number of Faces
Area of One Face = 1,176 square inches "/" 6
Area of One Face = 196 square inches
Therefore, each face of the cube has an area of 196 square inches.
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