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# Sixteen cylindrical cans, each with a radius of 1 inch, are placed ins

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Math Expert
Joined: 02 Sep 2009
Posts: 56257
Sixteen cylindrical cans, each with a radius of 1 inch, are placed ins  [#permalink]

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19 Feb 2018, 23:16
00:00

Difficulty:

35% (medium)

Question Stats:

78% (00:58) correct 22% (01:05) wrong based on 44 sessions

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Sixteen cylindrical cans, each with a radius of 1 inch, are placed inside a rectangular cardboard box as shown above. If the cans touch adjacent cans and/or the walls of the box as shown, which of the following could be the interior area of the bottom of the box, expressed in square inches?

(A) 16

(B) 32

(C) 64

(D) 128

(E) 256

Attachment:

2018-02-20_1017.png [ 9.73 KiB | Viewed 924 times ]

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Joined: 07 Jul 2012
Posts: 372
Location: India
Concentration: Finance, Accounting
GPA: 3.5
Re: Sixteen cylindrical cans, each with a radius of 1 inch, are placed ins  [#permalink]

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19 Feb 2018, 23:58
Length and breadth of the box= Diameter of 4 cylinders

Diameter of 1 cylinder= 2r= 2*1= 2
...............4..............= 4*2= 8.

Interior area of the box= 8*8= 64.

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Re: Sixteen cylindrical cans, each with a radius of 1 inch, are placed ins   [#permalink] 19 Feb 2018, 23:58
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