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If diagonal of a cube is 12cm\sqrt{12} cm, then its volume in cubic cm is :

A16

B8

C12

D24

Answer:

B. 8

Read Explanation:

Diagonal=a3Diagonal = a\sqrt{3}

=>a\sqrt{3}=\sqrt{12}

a3=23a\sqrt{3}=2\sqrt{3}

a=2cma=2cm

Volume of Cube =a3=a^3

=23=8cm3=2^3=8cm^3


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