Question 10

If area of the adjacent faces of a cuboid is given as p, q and r respectively and the volume isgiven as 'V' then the square of the volume will be

Solution

Let the length, breadth and height of the cubhoid be l, b and h respectively.

Therefore of adjacent faces will be lb, bh and hl.

If lb= p, then bh= q and hl=r.

Volume (V) = lbh

$$V^2=\left(lbh\right)^2$$

or, $$V^2=pqr$$

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