Question

The area of three adjacent faces of a cuboid are xyz. if the volume is V prove that V^2 = xyz ?​

Answer 1

Answer:

Let the 3 dimensions of the cuboid be l,b and h

So,

x=lb

y=bh

z=hl

multiplying above three equations,

xyz=lb×bh×hl

=l  

2

b  

2

h  

2

 

​  

 

As,

V=lbh

So,

V  

2

=l  

2

b  

2

h  

2

 

V  

2

=xyz

​  

 

Hence Proved

Answer 2

Answer:

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