If the areas of three adjacent faces of a cuboid are x, y, z respectively, then the volume of the cuboid is · ABC26GN4832
Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: M.B.A. 2005 2007
If the areas of three adjacent faces of a cuboid are $x, y, z$ respectively, then the volume of the cuboid is
(a)$x y z$
(b)$2 x y z$
(c)$\sqrt{x y z}$
(d)$3 \sqrt{x y z}$
Answer
Answer (as printed): C
Explanation
Let length $=l$, breadth $=b$, height $=h$. Then, $x=l b$, $$y=b h, z=l h .$$ Let $V$ be the volume of the cuboid. Then, $V=l b h$. $$\therefore x y z=l b \times b h \times l h=(l b h)^{2}=V^{2} \text { or } V=\sqrt{x y z} .$$
Explanation as extracted from the printed page; notation may be imperfect.