Question

If the areas of the adjacent faces of a rectangular block are in the ratio of 3:2:1 and its volume 9000 cu.cm then the length of the shortest side is

Answer 1

Step-by-step explanation:

Let lb = 2x, bh = 3x and lh = 4x

Then,

24x3=(lbh)2=9000×9000 ⇒x3=375×9000 ⇒x=150

So, lb = 300, bh = 450, lh = 600 and lbh = 9000

∴h=

9000

300

=30 l=

9000

450

=20& b=

9000

600

=15

Hence, shortest side = 15 cm