Question

The diagonal of a cube is 7√3 cm. Find its volume and surface area.

Answer 1

hope you will understand

Answer 2

$Let \: the \: side \: of \: a \: cube = a \:cm$

$Diagonal \: of \: the \:cube = 7\sqrt{3}$

$\implies \sqrt{3} a = 7\sqrt{3} \: ( given )$

/* Dividing both sides by √3 , we get */

$\implies a = 7 \: cm$

$Now, \red { Volume \: of \: the \:cube} = a^{3} \\= 7^{3} \\= 343 \: cm^{3}$

$Surface \:area \: of \:the \:cube = 6a^{2} \\= 6 \times 7^{2} \\= 6 \times 49 \\= 294 \: cm^{2}$

Therefore.,

$\red {Volume \: of \: the \:cube}\green{= 343 \: cm^{3}}$

$\red { Surface \:area \: of \:the \:cube} \green {= 294 \: cm^{2} }$

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