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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