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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: 59588
The inside of a rectangular carton is 72 centimeters long, 56 centimet  [#permalink]

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02 Sep 2018, 22:18
00:00

Difficulty:

25% (medium)

Question Stats:

76% (01:32) correct 24% (01:49) wrong based on 67 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: 124
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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03 Sep 2018, 00:57
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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02 Jan 2019, 00:11
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?
Re: The inside of a rectangular carton is 72 centimeters long, 56 centimet   [#permalink] 02 Jan 2019, 00:11
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