Question

The areas of three faces of a cuboid are 15, 20, 12 $c{m}^2$. What are the possible values of the height of the cuboid in cms?

• A. 3,4,6
• B. 4,5,6
• C. 5,4,3
• D. 8,6,9

Answer 1

The correct option is C

5,4,3

Let us assume that the length, breadth and height of the cuboid are x,y and z cms respectively.
Given :
$x\times y=15y\times z=20and,z\times x=12$
From the options, we can find the values of x,y,z by trail and error method as 3,5,4 cms respectively.
So, the possible values of height of the cuboid be 3, 4, 5 cms.