The areas of three adjacent faces of a cuboid are $a, b$ and $c .$ If the volume of the cuboid is V. Then $V$

\sqrt{a b c}

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b c

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a^{2} b c

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a c

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Solution

The correct option is A $\sqrt{a b c}$
Given: The areas of three adjacent faces of a cuboid are $a, b$ and $c$ .
Let Length $= l$ , Width $= w$ and Height $= h$
Then, According to given question
$a = l w$ , $b = w h$ and $c = h l$
$∴ a b c = l w \times w h \times h l$
$\Rightarrow a b c = (l w h)^{2}$
$\Rightarrow a b c = V^{2}$
$\Rightarrow V = \sqrt{a b c}$

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