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Himalayan
17. The rectangular box with 2x8x20 inches dimension is to be completely wrapped with a paper. If a single sheet of paper is to be used without patching, then the dimensions of the paper could be

(A) 17 in by 25 in
(B) 21 in by 24 in
(C) 24 in by 12 in
(D) 24 in by 14 in
(E) 26 in by 14 in


Thanx..
B is OA.

sometime, a simple concept can be a big trouble. I was looking for a single sheet of paper that can wrap the box without cutting.
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Himalayan
17. The rectangular box with 2x8x20 inches dimension is to be completely wrapped with a paper. If a single sheet of paper is to be used without patching, then the dimensions of the paper could be

(A) 17 in by 25 in
(B) 21 in by 24 in
(C) 24 in by 12 in
(D) 24 in by 14 in
(E) 26 in by 14 in

Let's calculate the area of the box

= 2 x ((8x2) + (8x20) + (20x2)) = 2 x (16+160+40) = 2 x 216 = 432

A) Area = 17 x 15 = 425
B) Area = 21 x 24 = 504
C) Area = 24 x 12 = 288
D) Area = 24 x 14 = 336
E) Area = 26 x 14 = 364

Only Choice B has Area 504 > 432.

B. is the answer.


small clarification:
we find the SURFACE AREA of the box by finding the areas of the three faces and then multiply everything by two (because each face has a front and back).



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