How many cubic meters of water are in swimming pool K when it is full?

Question

(1) At its longest part, K is 40 meters long; at its widest, it is 25 meters across; and at its deepest, it is 2 meters deep.
(2) When K is empty, it takes 1,000 containers, each containing 2 cubic meters of water, to fill K.

DS21272

Siak0730 · Answer

statement 1: At its longest part, K is 40 meters long; at its widest, it is 25 meters across; and at its deepest, it is 2 meters deep.
it implies max{L= 40m, B= 25m, D= 2m} or MAX. VOL = 40*25*2= 2000 cub. m.
now, we don't know the actual dimensions of the pool , when it gets filled up to full with water, this is just pool's max volume.
the pool can be full at its max vol or slightly below or below its max vol.

NOT Sufficient

Statement 2: When K is empty, it takes 1,000 containers, each containing 2 cubic meters of water, to fill K.
it implies to full the empty pool with water, it takes 1000*2 cub mtr of water in containers= 2000 cub mtr
this is SUFFICIENT

Therefore, B

DrMudassir · Answer

I don't know, but I'm not very convinced with the explanation.

It should be B not because of the above explanation, but because we don't know the shape of the swimming pool.

Posted from my mobile device

Siak0730 · Answer

What part u didn't agree with? 
Statement 2: I have not mentioned any dimension about pool
I just said total water required to fill the pool= total capacity of the pool= 2000 cubic 
So sufficient 
Statement 1 gives the dimensions not the capacity of the pool

firas92 · Answer

The question simply asks us to find the volume of the swimming pool

(1) At its longest part, K is 40 meters long; at its widest, it is 25 meters across; and at its deepest, it is 2 meters deep.

If the swimming pool is rectangular with uniform depth, the volume is 40*25*2

But it may still be a non rectangular pool with/without uniform depth

1 is not sufficient

(2) When K is empty, it takes 1,000 containers, each containing 2 cubic meters of water, to fill K.

So the volume is 2*1000=2000

2 is sufficient

Answer is (B)

Posted from my mobile device

vaibhav1221 · Answer

Statement 1 says "longest, widest and deepest". This just means that the swimming need not be a cuboid as we imagined.

Refer the below image. It could be the case that the deepest point is 2mt deep but the shallow region is only 1.6mt deep. In this case, the volume of the pool isn't 2000cubic meters. It's definitely less than that.
Similarly, the minimum length and the minimum width might not be same as the maximum length and maximum width.

Hope this clears up the confusion.

rusanovmp · Answer

I would agree with B if it says that the last one is fully drained to the pull. If the pull is 1999 cubic meters it will take anyway 1000 containers to fill the pull, right?

prateekchugh · Answer

OFFICIAL EXPLANATION

Geometry Volume
 
(1) Given that the maximum length, width, and depth of the pool are, respectively, 40 meters, 25 meters, and 2 meters, it follows that the pool, when full, has at most (40 meters)(25 meters)(2 meters) = 2,000 cubic meters of water. However, it is not possible to determine the actual volume of water in the pool, when full, because we do not know whether the surface of the pool is rectangular. Moreover, even if the surface was known to be rectangular, we do not know how much of the floor is at the maximum depth or how the depth changes from one location on the surface to another location on the surface; NOT sufficient.
(2) Given that the pool, when empty, can be filled with 1,000 containers each containing 2 cubic meters of water, it follows that the pool, when full, has a total of (1,000)(2) = 2,000 cubic meters of water; SUFFICIENT.
 
The correct answer is B;
statement 2 alone is sufficient.

rxb266 · Answer

How any cubic meters of water are in swimming pool K when it is full?

(1) At its longest part, K is 40 meters long; at its widest, it is 25 meters across; and at its deepest, it is 2 meters deep.

Here we are given the extreme dimensions of the pool. No info about the shape of the pool is provided. Hence, insufficient.

(2) When K is empty, it takes 1,000 containers, each containing 2 cubic meters of water, to fill K.

We know by this that the max capacity of the pool is 2 x 1000 = 2000 cubic meters. Sufficient.

Option B

amishag · Answer

Bunuel 
like  rusanovmp , i picked E because the capacity of the pool could be 1999cc and we would still need 1000 containers to make it full. would you say that is not the correct way to think about this?

Bunuel · Answer

Not sure I follow your logic. (2) says:  When K is  empty , it takes 1,000 containers, each containing 2 cubic meters of water,  to fill K .  For me it's not at all ambiguous.

bumpbot · Answer

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How many cubic meters of water are in swimming pool K when it is full?

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