The areas of three adjacent faces of a cuboid
Asked by admin @ in Math viewed by 283 People
the area of three adjacent faces of cuboid are x, y, and z. if it's volume is v then prove that v square = xyz
Answered by admin @
Let the dimensions of cuboid are
Length=l
breadth=b
height =h
given area of three faces x,y and z
lb= x--(1)
bh=y---(2)
lh= z---(3)
multiply (1),(2) and (3)
lb×bh×lh= xyz
l^2×b^2×h^2=xyz
(lbh)^2= xyz
v^2= xyz
since volume of the cuboid=v=lbh
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