Question

the length, breadth and height of a cuboid are in the ratio 2:3:2√3. Then the ratio of the longest diagonal to height of a cuboid is​

Answer 1

Answer:

(5√3)/6

Step-by-step explanation:

Let the length be 2x, breadth 3x and height 2√3x

The longest diagonal possible is the body diagonal, drawn between opposite corners.

Let its length be d.

Hence,

d= √(l²+b²+h²)

=√(4x²+9x²+12x²)

=√(25x²)

=5x

Hence ratio required= 5x/(2√3x) = (5√3)/6