The diagonal of a cube measures 44 cm. Its volume is

(a) $8 c m^{3}$

(b) $16 c m^{3}$

(c) $27 c m^{3}$

(d) $64 c m^{3}$

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Solution

Diagonal of cube $= 4 \sqrt{3}$

$∴$ side $= \frac{4 \sqrt{3}}{\sqrt{3}} = 4 c m$

$∴$ Volume $= a^{3} = (4)^{3} = 64 c m^{3}$

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