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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, what is the object formed and what is its volume in mm3?


A

Cuboid, MKN

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B

Cuboid, 4MKN

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C

Sphere, 4MKN

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D

Cylinder, 2MKN

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Solution

The correct option is B

Cuboid, 4MKN


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
=Length×Breadth
=2M×2K
=4MK mm2

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


Volume=Area× Thickness
=4MK×N
=4MKN mm3


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