A cube has a volume of 1728 cc. Find its surface area.
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Answer: A. 864 cm2
Explanation
Extracting the cube root of the given volume seventeen twenty-eight determines the cube side length as twelve. Squaring the side length of twelve gives one hundred forty-four for the area of a single square face. Multiplying the single face area by the six faces of a cube yields eight hundred sixty-four square centimeters. The volume of a geometric cube equals its side length cubed in standard cubic units of measure. The total surface area of a cube equals six multiplied by the area of one square face. Square units are required for all three-dimensional surface area calculations in metric geometry.
Packaging engineers calculate cardboard surface areas required to construct cubic shipping boxes of specific volumes. Manufacturing technicians determine paint coating quantities needed to cover cubic metal storage containers. Architects compute exterior cladding surface areas for cubic architectural pavilion structures. Option B suggests six hundred forty-eight square centimeters which underestimates the total surface area calculation. Option C suggests four hundred eighty-six square centimeters which results from incorrect side length extraction. Option D suggests four hundred sixty-eight square centimeters which represents an arithmetic calculation error.
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- Mathematics
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