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555-605 Level|   Geometry|                                 
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Bunuel
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It requires dimensions of the carton and dimenions of the cans in order to determine the number of cans that can be packed into the carton. Since both A and B together doesn't give all of these required dimensions, the answer is E.

For those who like the approach of proving that more than one answer is possible, here is that approach:
Stm A)
Volume of carton is given as 2304.
So sides can be 1*1*2304 or 2*1*1152 leading to more than one answer. Hence insufficient.
Stm B)
Volume of carton can be 1 or 10 or 100. In each case it can accomodate different number of cans leading to more than one answer. Hence insufficient.
Stms A and B Together:
Same explanation given under Stm A holds good. Hence insufficient.
Answer is E.
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Got the point!
But in a reversal case where dimension of carton is given, along with the volume of can. Then, can we get to the answer as above??Bunuel
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Got the point!
But in a reversal case where dimension of carton is given, along with the volume of can. Then, can we get to the answer as above??Bunuel

No, the answer would still be E. (Well, if the volume of the carton is less than the volume of the cans, then we could say that 0 cans could be placed.) The point is, the volume of a can does not limit its height or diameter. Therefore, for any given volume, we could consider the height to be greater than any of the dimensions of the carton, meaning that 0 cans could be placed.
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To solve this one we need a height of the carton. Neither St1 nor St2 gives us this information even combiden --> (E)
1) l*w*h=2304 what is the Height of the carton? Not Sufficient
2) Can H=6, D=4, we need a height of the carton - If the height is 5 then a can fit there, if the height of the carton is 4 - the answer is NO, the cans don't fit there. Not Sufficient
1+2) We need the height of the carton - Not sufficient (E)
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Walkabout
What is the number of cans that can be packed in a certain carton?

(1) The interior volume of this carton is 2,304 cubic inches.
(2) The exterior of each can is 6 inches high and has a diameter of 4 inches.

Target question: What is the number of cans that can be packed in a certain carton?

Let's head straight to.....

Statements 1 and 2 combined
Consider these two conflicting cases (that satisfy BOTH statements):
Case a: the dimensions of the box are numbers are 1 x 1 x 2304 (inches), in which case ZERO cans can fit inside the carton
Case b: the dimensions of the box are numbers are 10 x 10 x 23.04 (inches), in which case MORE THAN ZERO cans can fit inside the carton

Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

Cheers,
Brent
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Walkabout
What is the number of cans that can be packed in a certain carton?

(1) The interior volume of this carton is 2,304 cubic inches.
(2) The exterior of each can is 6 inches high and has a diameter of 4 inches.

Answer: Option E

Video solution by GMATinsight

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Video solution from Quant Reasoning:
Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1
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Understand the framework to solve these kind of problems and solve the problems with confidence.

The full description of the framework & step-by-step solution here: (OG22 Q468) DS04897 | Framework To Solve GMAT Geometry Solid Fit Problems & Step-By-Step solution




Basically:
1. Having volume is not enough, must know internal dimensions of the carton
2. Also must know the outer dimensions of the can

From (1) + (2) - we still do not know the internal dimensions of the carton. Hence this is insufficient.

(E)
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Hi Experts,
Bunuel KarishmaB

Even when dimensions are given, we can't answer this question without knowing the shape of both cans and carton.
Am I right?

Thank you!
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Sneha2021
Hi Experts,
Bunuel KarishmaB

Even when dimensions are given, we can't answer this question without knowing the shape of both cans and carton.
Am I right?

Thank you!

The word 'can' usually means a right cylindrical object (dimensions given are height and diameter) and carton usually means a box/cuboid so given the dimensions I would think that the data should be sufficient to answer.
In any case, if GMAT intends to give you complete data to make it sufficient in the question, you will likely be given "right cylindrical can" and "cuboidal carton" too.
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Bunuel KarishmaB
Can a question like this be tested on the focus edition?
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siddhantvarma
Bunuel KarishmaB
Can a question like this be tested on the focus edition?

If you mean geometry question based on volumes of objects, then no. But if you mean a question just like this, well, I reserve my call on it. This question is testing simple logic and nothing else. I assume the carton is flat with barely any height since that info is not there and I know that I cannot find the number of cans I can put in it in a few seconds. I don't need volume of anything - just a little bit of visualization. You certainly are required to think on those lines in Focus too.
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