Question

2. If I is the length of a diagonal of a cube of volume V then
(a)3v=l³​

Answer 1

Here

l is the length of diagonal

V is the volume of the cube

Volume of the cube ( V ) = a3 ------. (1)

We know that

$= 1 = \sqrt[a]{3}$

${1}^{3} = 3 \sqrt{3 {a}^{3} }$

${1}^{3} = \sqrt[3]{3v}$

$= \sqrt[3]{3v } = {1}^{3}$