Question

Find the ratio of the volume of the cube to that of the cube drawn taking its longest diagonal as a side.​

Answer 1

Step-by-step explanation:

I hope you are find your answer

Answer 2

Answer:

The ratio of the volume of cube to that of the cube drawn taking it's longest diagonal as a side is 1/3√3

Step-by-step explanation:

Let the side of the cube be 'a'

Length of the longest diagonal is √3a

Volume of cube = V³

Ratio of volume = Volume of cube with side 'a'/

Volume of cube with side √3a

= (a)³ / (√3a)³

= a³ / 3√3a³

= 1 / 3√3