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Volume of a Cuboid

The volume of...

Question

The volume of a cuboid is $V$ . If its length, breadth and height are made $4$ times, $3$ times and $2$ times respectively, the volume becomes $V^{'}$ . Find $V^{'} : V$ .

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Solution

$l b h = V$
Now $l^{'} = 4 l$
$b^{'} = 3 b$
$h^{'} = 2 H$
$V^{'} = 4 \times 3 \times 2 l b h = 24 V$
$\frac{V^{'}}{V} = 24$

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