If each dimension of a cuboid is increased by 4 times, then the total surface area becomes …………….. times the original area. 

A) 4 

B) 8 

C) 12 

D) 16


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Correct option is (D) 16

Let \(l,b\;and\;h\) are length, breadth and height of the original cuboid.

After increasing each dimension of cuboid by 4 times,

length of formed cuboid \(=4\,l,\)

breadth of formed cuboid = 4b and

height of formed cuboid = 4h.

\(\therefore\) Total surface area of formed cuboid \(=2\,(4l\times4b+4b\times4h+4h\times4l)\)

\(=32\,(lb+bh+hl)\)

\(=16\times2(lb+bh+hl)\)

\(=16\times\) Total surface area of original cuboid

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Correct option is  D) 16