To determine the surface area of a cube multiply the length of one side by...

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To determine the surface area of a cube multiply the length of one side by itself and then by six since a cube has six equal sides The surface are of a sphere can be calculated using the formula 4tr where r is the radius of the sphere By comparing the surface areas of the cube and sphere we can determine which shape is more efficient in terms of material usage Choosing a shape with a slightly smaller surface area can hel minimize the material required and reduce production costs For example a company manufacturing tree ornaments would perform these calculations to determine the most cost effective shape Similar a company producing food packaging might nee to choose between rectangular boxes or cylindrical containers By analyzing the surface areas of these shapes they can optimize their

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