Question

✮ The areas of three adjacent faces of a cuboid are x, y and z. Find the total
surface area of the cuboid.

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Answer 1

$\sf{let \: l= length}$

$\sf{b = breadth}$

$\sf{h = height \: of \: the \: cubiod}$

$\sf{ATQ,}$

$\sf{x = lb ,\: y = bh, \:z = lh}$

$\sf{∴x⋅y⋅z= {l}^{2}{b}^{2} {h}^{2}}$

$\sf{⇒xyz = ({lbh})^{2}}$

$\sf{⇒voloume = \sqrt{xyz}}$