Question

The length of a diagonal of a cube is 14 root 3. Then what is the volume of the cube?

Answer 1

$Diagonal\ of\ a\ cube\ of\ side\ \bold{a}\ is\ \bold{a\sqrt{3}}. \\ \\ a\sqrt{3} = 14\sqrt{3} \\ \\ \therefore\ a = 14 \\ \\ \\ Volume = a^3 = 14^3 = \bold{2744} \\ \\ \therefore\ \bold{2744}\ is\ the\ answer.$

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Answer 2

Answer:

$2744 \: cm { }^{3}$

Step-by-step explanation:

$we \: know \: that \: diagnal \: of \: a \: cube \: is \ \: \\ \sqrt{3} \times side \\ 14 \times \sqrt{3} = side \: \times \sqrt{3} \\ from \: here \: we \: get \: side = 14 \\ now \\ volume \: of \: cube = {side}^{3} \\ so. \: v = {14}^{3} \: = 14 \times 14 \times 14 = 2744 \\ therefore \: volume \: of \: the \: cube \: is \: 2744 \: {cm}^{3}$