Question

If the area of three adjacent faces of a cuboid are $x,y$ and $z$ respectively, then the volume of a cuboid is __________.

• A. $\sqrt{xyz}$
• B. $x+y+z$
• C. $x^{2}yz$
• D. $xy+z$

Answer 1

Answer: (A)

$\sqrt{xyz}$

Let the area of three adjacent faces be $x=l\times b,y=b\times h,z=l\times h$

Where $l=\text{length}$, $b=\text{breadth}$ and $h=\text{height}$

So $x\times y\times z=l^2\times b^2\times h^2$

But we know Volume of a cuboid, $V=l\times b\times h$

So, $V=\sqrt{xyz}$