Question

Hey Mates!

The diagonal of a cubical box is$10 \sqrt{3} cm$
then find the volume of cube.

No Spamming!

Answer 1

Hey!!!!

Good Morning

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We have

diagonal of a cube = 10√3 cm

We know

=> diagonal of a cube = √3 a

=> √3a = 10√3

Cancelling √3

=> a = 10 cm

Volume = a³

=> Volume = (10)³

Thus the volume of the cube is 1000 cm³.

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Hope this helps ✌️

Happy Mother's Day

Answer 2

Given: Diagonal of the cube = $10 \sqrt{3}$

We know that:

Side of the cube = $\frac{Diagonal}{ \sqrt{3} }$

                             = $\frac{10 \sqrt{3} }{ \sqrt{3} }$

                             = 10.


We know that volume of the cube = (a)^3

                                                          = (10)^3

                                                           = 1000cm^3.


Hope this helps!