Question

If the area of three adjacent faces of a cuboid are 8 `cm^2`, 18 `cm^3` and 25 `cm^3`. Find the
volume of the cuboid.

Answer 1

WKT, if ,,x y z denote the areas of three adjacent faces of a cuboid
`⇒x=lxxb,y=bxxh,z=lxxh.`
Volume V is given by

`v=lxxbxxh`

`Now, xyz=lxxbxxbxxhxxlxxh=V^2`

`Here     x=8`

`y=18`

`And   z=25`

`∴ v^2 = 8xx18xx25=3600`

`⇒ v= 60cm^3`