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The lateral surface area of a cube is `324 cm^(2)`. Find its volume and the total surface area |
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Answer» Let each side of the cube be a cm then, the lateral surface area of the cube `= (4a^(2)) cm^(2)` `:. 4a^(2) = 324 rArr a^(2) = 81 rArr a = sqrt81 = 9` Volume of the cube `= a^(3) cm^(3)` `= (9 xx 9 xx 9) cm^(3) = 729 cm^(3)` Total surface area of the cube `= (6a^(2))` sq units `= (6 xx 9 xx 9) cm^(2) = 486 cm^(2)` |
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