Question

volume of a cube is 1728^3cm .find the length of its edge​

Answer 1

$\underline{\underline{\huge{\gray{\tt{\textbf Answer :-}}}}}$

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$\sf\large\bold{\orange{\underline{\blue{ Given :-}}}}$

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• Volume of a cube is 1728 cu. cm

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$\sf\large\bold{\orange{\underline{\blue{ To \: Find :-}}}}$

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• Length of its edge

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$\sf\large\bold{\orange{\underline{\blue{ Solution :-}}}}$

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$\underline{\bold{\texttt{Volume of cube :}}}$

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➠ a × a × a

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Where ,

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• a = Length of edge of cube

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$\underline{\bold{\texttt{Volume of given cube :}}}$

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Let the length of edge be "s" cm

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• a = s

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⟮ Putting the values ⟯

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➜ s × s × s

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Given that volume is 1728 cu. cm.

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So,

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➜ 1728 = s × s × s

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➜ 1728 = s³

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➜ $\sf \sqrt[3]{1728} = s$

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➨ s = 12 cm.

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• Hence the length of edge of cube is 12 cm.

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Additional information

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Total surface area of cube

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• 6a²

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Where ,

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➻ a = Length of edge of cube

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Curved surface area of cube

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• 4a²

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Where ,

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➻ a = Length of edge of cube

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Length of diagonal of cube

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• a√3

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Where ,

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➻ a = Length of edge of cube