If the areas of three adjacent faces of a cuboid are X, Y ,Z respectively then find the volume of the cuboid
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Hello....
Answer :- Let the sides of the cuboid be a, b and c.Given x, y and z are areas of three adjacent faces of the cuboidHence x=ab, y=bc, z=ca(x)(y)(z) = (ab)(bc)(ca)xyz= (abc)2abc = √xyzThus the volume of cuboid, V= abc = √xyz
sindhureji:
I didn't understand the step mam... How can √xyz come there.?
let the dimensions of cuboid areLength=lbreadth=bheight =hgiven area of three faces x,y and zlb= x--(1)bh=y---(2)lh= z---(3)multiply (1),(2) and (3)lb×bh×lh= xyzl^2×b^2×h^2=xyz(lbh)^2= xyzv^2= xyzsince volume of the cuboid=v=lbh
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
in the before answer I did something wrong sorry for inconvenience .The above one would be helpful ti you.
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