Question

The length, breadth and height of a box are in the ratio 1 : 2 : 3. Find the ratio of length of the diagonals of the faces.



please faSt help me​

Answer 1

Answer:

Correct option is D)

Let the length breadth and height of the cuboid be x,2x and 3x units.

The dimensions after increase are x+100100x, 2x+100200×2x, 3x+100200×3x. 

i.e., 2x,6x and 9x

Original volume =x×2x×3x=6x3

Increased volume =2x×6x×9x=108x3

∴ Increase in volume =108x3−6x3=102x3 

=17×6x3

=17× original volume

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