Question

There is a thin metal plate having length, breadth, and thickness as 2M mm, 2K mm and 1 mm, respectively. If ‘N’ plates are placed one on top of the other, then what is the object formed. Also, find its volume in $m{m}^3$? [2 Marks]

Answer 1

Thickness of 1 plate = 1 mm.
Total thickness of N plates put together = N mm

Now, the object formed has 3 dimensions- length, breadth, and thickness.

The area of one plate
$=\text{Length}\times \text{Breadth}$
$=2M\times 2K$
$=4MKm{m}^2$ [1 Mark]

The object formed when thin plates are stacked is nothing but a cuboid. This can be visualised as shown below.


$\text{Volume}=\text{Area}\times \text{Thickness}$
$=4MK\times N$
$=4MKNm{m}^3$ [1 Mark]