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Hi the question stem asks % change in surface area.

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Will the answer be option D

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Sanjeetgujrall
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Although the scenario is too hypothetical to think of, wherein just one side of the new cuboid has tripled after hammering and everything else remains unchanged, yet considering the hypothesis to be real the answer goes as below.

Tripling one side of the cuboid the volume become 3x of the original volume x.

Change in Volume=\(\frac{(3x-x)}{x}*100\) = 200%

Hence, the answer is E

I think the answer is D. They have asked change in surface area and not volume

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Thanks for highlighting. Updated my response. My bad :)
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Interestingly, some students wrote to us saying that if the width is changed, the volume also changed and that is not possible by hammering (as volume of the solid must remain constant). The mistake in that approach is that one is confusing volume of the "box" (not a solid, as such) with the volume of the "metal" (or solid). Imagine, the box is empty inside and practically, the volume of the box is the volume of the empty space and not the volume of the metal enclosing the empty space :-)
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Tripling one side of the cuboid the surface area becomes 14x of the original surface area 6x.
How??? Can you explain???

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surface area = 2(Lw+wh+Lh)
original S.A. = 6a^2
new = 2(a*3a + 3a*a + a*a) = 14a^2

%change = (14a^2 - 6a^2)/ 6a^2 *100% = (8/6)*100 = 133.33% (D)
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Saurabhminocha
surface area = 2(Lw+wh+Lh)
original S.A. = 6a^2
new = 2(a*3a + 3a*a + a*a) = 14a^2

%change = (14a^2 - 6a^2)/ 6a^2 *100% = (8/6)*100 = 133.33% (D)
thanks a lot...I get it now.

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