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The outside of the rectangular box represented in the figure

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The outside of the rectangular box represented in the figure [#permalink] New post 19 Jan 2013, 02:17
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B
C
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Question Stats:

92% (01:44) correct 8% (00:38) wrong based on 25 sessions
The outside of the rectangular box represented in the figure above is to be decorated by attaching pieces of wrapping paper to cover all surfaces except the bottom of the box. what is the minimum number of sqaure inches of wrapping paper needed?

a) 375
b) 600
c) 725
d) 800
e) 1250
[Reveal] Spoiler: OA

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Re: The outside of the rectangular box represented in the figure [#permalink] New post 19 Jan 2013, 02:51
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Top = 25*10 = 250
Sides = 5*10*2 = 100
Front & Back = 25*5*2 = 250

Total = 600
Answer is B
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Re: The outside of the rectangular box represented in the figure [#permalink] New post 19 Jan 2013, 03:11
basically its an application of the 3D rectangle formula?
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Re: The outside of the rectangular box represented in the figure [#permalink] New post 19 Jan 2013, 03:24
Yes... The shape is called a cuboid. We are not considering the bottom in this case.
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Re: The outside of the rectangular box represented in the figure [#permalink] New post 19 Jan 2013, 08:52
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total area of cuboid - area of bottom of cuboid = paper required to wrap all sides except bottom of the cuboid

total area of cuboid = area of top and bottom side faces (l*b)+area of two side faces(h*b) + area of two side faces (l*h) = 2*25*10 + 2*5*10 + 2*25*5 = 500+100+250=850

area of bottom face = 250

so paper needed = 850 - 250 = 600 sqinches
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Re: The outside of the rectangular box represented in the figure   [#permalink] 19 Jan 2013, 08:52
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