Question

IVIIV!
The volume of a cube is 512 cm3 then its diagonal is​

Answer 1

Answer:

Formula for Volume of a Cube is:

${s}^{3}$

Therefore,

$s = \sqrt[3]{512}$

From above we can calculate Side of a Cube i.e.

8 cm.

Step by Step Calculation:

Now, out of 6 faces of a Cube, take any face of a Cube, it is a square.

The Diagonal of a Square is formed by meeting 2 opposite corners of the square.

By applying Pythagoras theorem, we will find the Diagonal as:

Pythagoras theorem

${h}^{2} = {b}^{2} + {a}^{2}$

$= > {h}^{2} = {8}^{2} + {8}^{2}$

$= > {h}^{2} = 32$

$= > h = \sqrt{32}$

$= > h = 5.66$

Hence, Diagonal of the Square is 5.66 cm.