Question

the area of 3 adjacent faces of a cuboid are x, y=z .if the volume Is V prove that vsq =xyz​

Answer 1

Answer:

let the dimensions of cuboid are

Length=I

breadth=b

height=h

given area of three faces x,y and z

lb= x--(1)

bh-y---(2) Ih=z---(3)

multiply (1), (2) and (3)

lbxbhxlh= xyz

1^2xb^2xh^2=xyz

(lbh)^2= xyz

V^2= xyz

since volume of the cuboid=v=lbh

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