• question_answer The areas of three adjacent faces of a cuboid are x, y, z. If the volume is V, then ${{V}^{2}}$ will be equal to A)  $xy/z$                        B)  $yz/{{x}^{2}}$        C)  ${{x}^{2}}{{y}^{2}}/{{z}^{2}}$              D)  $xyz$

(d): $x.y.z=lb\times bh\times lh={{(lbh)}^{2}}$; Area of adjacent faces are lb = x(say), bh = y and lh = z(say). Volume of a cuboid (V) = lbh; $\therefore$      ${{V}^{2}}={{(lbh)}^{2}}=xyz$