The area of three adjacent faces of a cuboid are x, y and z. Show the volume of cuboid= √xyz
Answers
Answered by
5
the answer is in photo
Attachments:
Answered by
1
Step-by-step explanation:
- Let the sides of the cuboid be a, b and c.
Given x, y and z are areas of three adjacent faces of the cuboid
Hence x=ab, y=bc, z=ca
(x)(y)(z) = (ab)(bc)(ca)
xyz= (abc)2
abc = √xyz
Thus the volume of cuboid, V= abc = √xyz
Similar questions