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# The inside of a rectangular carton is 72 centimeters long, 56 centimet

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Math Expert
Joined: 02 Sep 2009
Posts: 64314
The inside of a rectangular carton is 72 centimeters long, 56 centimet  [#permalink]

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02 Sep 2018, 21:18
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Difficulty:

15% (low)

Question Stats:

82% (01:29) correct 18% (01:37) wrong based on 83 sessions

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The inside of a rectangular carton is 72 centimeters long, 56 centimeters wide and 60 centimeters high. The carton is filled to capacity with k identical cylindrical cans of fruit that stand upright in rows and columns. If the cans are 15 centimeters high, what is k?

(1) The radius of each can is 8 centimeters.
(2) The carton fits 4 layers of cans standing upright stacked on top of one another.

_________________
Manager
Joined: 11 May 2018
Posts: 127
Location: India
GMAT 1: 460 Q42 V14
Re: The inside of a rectangular carton is 72 centimeters long, 56 centimet  [#permalink]

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02 Sep 2018, 23:57
2
Quote:
The inside of a rectangular carton is 72 centimeters long, 56 centimeters wide and 60 centimeters high. The carton is filled to capacity with k identical cylindrical cans of fruit that stand upright in rows and columns. If the cans are 15 centimeters high, what is k?

(1) The radius of each can is 8 centimeters.
(2) The carton fits 4 layers of cans standing upright stacked on top of one another.

Given L and b and h. we need to know the radius of the can.
Statement 1:
As we know the radius we can find the value of K
SUFF
Statement 2:
we know that vertically 4 layers. but we don't know about the no of cans horizontally and we are not even given the radius
so there can be different solutions
Not suff
A is the winner.
please correct me if I am wrong
Manager
Joined: 27 Nov 2015
Posts: 120
Re: The inside of a rectangular carton is 72 centimeters long, 56 centimet  [#permalink]

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01 Jan 2019, 23:11
1
Hi,

From Statement 1, is it right to assume that the maximum cans that can be accommodated along the length of the box is 4 and the max cans along the width are 3?

Hence the total cans that can be placed in the box are 4*3*4 = 48?
Manager
Joined: 26 May 2019
Posts: 198
GMAT 1: 650 Q46 V34
WE: Consulting (Consulting)
Re: The inside of a rectangular carton is 72 centimeters long, 56 centimet  [#permalink]

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03 Apr 2020, 23:06
St. 1 - Sufficient. -- Using radius of the can, we can find out number of cans (vol. of cuboid / vol. of each can)
St. 2 - Not sufficient -- Depending upon the radius, the number of cans be different everytime.

Re: The inside of a rectangular carton is 72 centimeters long, 56 centimet   [#permalink] 03 Apr 2020, 23:06