# The areas of three adjacent faces of a cuboid are x, y, and z. If the volumes is V, prove that V2 = xyz.

Given,

Area of 3 adjacent faces of a cuboid = x, y, z

V = volume of cuboid

Let , a,b,c are respectively length , breadth, height of each faces of cuboid

So, x = ab

= y = bc

= z = ca

V = abc

Hence , xyz = ab×bc×ca = (abc)2 = v2 (v=abc)

= v2 = xyz Proved.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Surface Area of Right Circular Cylinder52 mins
Surface Area of Cube and Cuboid49 mins
Surface Area of Right Circular Cylinder49 mins
Surface Area and Volume of Spheres40 mins
Surface Area and Volume of Cone24 mins
10 Important Questions of Surface Area and Volume51 mins
Surface Area and Volume of Right Circular Cylinders42 mins
Surface Area and Volume of Right Circular Cone37 mins
Quiz | Mensuration42 mins
Quiz | Surface Area & Volumes49 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses