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Surface Areas and Volumes — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSSurface Areas and Volumes1 Mark
Question
The volume of a cube whose diagonal is $8\sqrt{3}\text{ cm}$ is:
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Answer

Diagonal of cube $=\sqrt{3}\times ($edge or side$)$
$8\sqrt{3}=\sqrt{3}\times\text{edge}$
edge $= 8\ cm$
Volume of cube $=$ edge$^3$
$= 8 \times 8 \times 8$
$= 512\ cm^3$

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