The area of 3 adjacent faces of a cuboid are x,y,z.. if the volume is v , prove that [v]^2=xyz.

Answer 1

if the edges are a,b,c

x = ab
y = bc
z = ac

v = abc, so

v^2 = (abc)^2
= a^2 b^2 c^2
= ab * bc * ac
= xyz

Answer 2

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