Question

If diagonal of a cube is 3cm its volume will
a. 33cm
b. 27cm
c. 18cm
d. None of above​

Answer 1

Answer:

option c) 18cm

hope it helps

Answer 2

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \boxed{\boxed { \huge \mathcal\red{ solution}}}}$

FOr a cube

$\implies\bf\boxed{ \blue{diagonal= \sqrt{3}\times side}}$

$\implies \bf\boxed{\blue{Volume= side{}^{3}}}$

Here Given

$\rightarrow diagonal=3 cm$

$\therefore 3=\sqrt{3}\times side\\ \implies side=\frac{3}{\sqrt{3}}\\ \implies side=\frac{\cancel{\sqrt{3}}\times \sqrt{3}}{\cancel{\sqrt{3}}}\\ \bf\implies \boxed{\red{side=\sqrt{3} \:cm}}$

$\therefore Volume =(\sqrt{3}){}^{3}\\ \implies \bf\boxed{\red{Volume=3\sqrt{3}\:cm}}$

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━$\underline{ \huge\mathfrak{hope \: this \: helps \: you}}$

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