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The length, breadth and height of the cuboid are in the ratio 1:2:3. If they are increased by 100%, 200% and 200% respectively, then, as compared to the original volume the increase in the volume of the cuboid will be:

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5 times

18 times

12 times

17 times

answer is D.

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Detailed Solution

Given the length breadth and height of cuboid are in the ratio 1 : 2 : 3 i.e. x, 2x and 3x They are increased by 100%, 200%, and 200% i.e. length

= x +x = 2x Breadth

Height

    Original volume l×bh =x2x3x=6x3
    Increased volume =2x6x9x=108x3

Increase in volume

original volume Answer is 17 times

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