Question

# There is a thin metal plate of length and breadth 2M mm and 2K mm respectively. Its thickness is 1 mm. If ‘N′ number of 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

Cube, 4MKN

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D

None of these

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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 The object formed has now three dimensions - Length, breadth and thickness. The area of one plate =Length×Breadth =2M×2K =4MK mm2 The object formed when thin plates are stacked together is nothing but a cuboid. This can be visualised as shown below. Volume=Plate Area×Total Thickness =4MK×N =4MKN mm3

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