Question

The length of diagonal of a cube is 17.32cm.Find the volume of that cube.

Answer 1

Hi Mate !!!

Volume of cube = L³

Where L is length of sides of cube.


(17.32)² = L². by p.g.t


L = 17.32

So, volume = (17.32)³


By assuming that it is a face diagonal.


!!!!!!!!!! Hope it helps!!!!!!!!

Answer 2

Solutions :-

Given :

Length of diagonal of cube = 17.32 cm

Let the length of side

Find the volume of that cube :-

Diagonal of cube = a√3
=> 17.32 = a√3
=> a = 17.32/√3
=> a = 9.999

Now,
Find the volume of cube :-

Volume of cube = a³ cubic unit
= (9.999)³ cm³
= 9.999 × 9.999 × 9.999 cm³
= 999.70 cm³
= 1000 cm³ (by rounding off)


Hence,

Volume of cube = 1000 cm³