Question

The length of diagonal of a cube is 17.32 cm, find the volume of cube.

Answer 1

Let $a$ be the edge of the cube.

As we know that,

Length of diagonal $\left(d\right)$ of a cube is given by-

$d=\sqrt{3}a$

Given that:- $d=17.32cm$

$\Rightarrow a=\frac{17.32}{\sqrt{3}}=\frac{17.32}{1.732}=10cm$

Now as we know that volume of cube $\left(V\right)$ is given as,

$V=a^3$

$\because a=10cm$

$\therefore V={\left(10\right)}^3=1000{cm}^3$

Hence the correct answer is $1000{cm}^3$.