There is a thin metal plate of length and breadth $2 M m m$ and $2 K m m$ respectively. Its thickness is $1 m m .$ If $‘ N^{'}$ number of plates are placed one on top of the other, what is the object formed and what is its volume in $m m^{3}$ ?

Cuboid, $M K N$

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Cuboid, $4 M K N$

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Cube, $4 M K N$

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None of these

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Solution

The correct option is B
Cuboid, $4 M K N$

Thickness of 1 plate $= 1 m m$
Total thickness of $N$ plates put together $= N m m$

The object formed has now three dimensions - Length, breadth and thickness.
The area of one plate $= Length \times Breadth$
$= 2 M \times 2 K$
$= 4 M K m m^{2}$
The object formed when thin plates are stacked together is nothing but a cuboid. This can be visualised as shown below.

$V o l u m e = Plate Area \times Total Thickness$
$= 4 M K \times N$
$= 4 M K N m m^{3}$

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