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# How many books will fit into a drawer? (1) Each book has a volume of

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How many books will fit into a drawer? (1) Each book has a volume of [#permalink]
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Bunuel wrote:
How many books will fit into a drawer?

(1) Each book has a volume of 10 cubic centimeters.
(2) The drawer is 300 centimeters by 30 centimeters by 20 centimeters and has the shape of a rectangular solid.

DS21213

Statement 1: Each book has a volume of 10 cubic centimeters.
Insufficient as we know nothing about the shape of the books or the drawer its to be put in.

Statement 2: The drawer is 300 centimeters by 30 centimeters by 20 centimeters and has the shape of a rectangular solid.
Insufficient, as we know nothing about the size of books

Statement 1 + Statement 2:
We have the volume of books and the drawer.
We know that the drawer is a cuboid, but we cannot say for sure what is the shape of the books, it could be a cube or a cuboid.
Thus Insufficient.

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Re: How many books will fit into a drawer? (1) Each book has a volume of [#permalink]
We need to find the # of books.

# of books = Volume of shelf/ volume of one book

Lets analyze statements now:

I:: Each book volume = 10; Since shelf volume is not given, # of books cannot be found. NOT SUFFICIENT
II: Volume of Shelf = 300* 30*20; Books volume not available; hence NOT SUFFICIENT

Lest combine both statements:
From the statement I: we get volume for book
From statement II: we get volume of shelf
# of book = 300*30*30/10

Sufficient

IMO: C
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Re: How many books will fit into a drawer? (1) Each book has a volume of [#permalink]
BrentGMATPrepNow, can you please explain how does it make a difference if the books are in the shape of a cube or a cuboid.

Can't we treat the volume holistically? Volume is basically the space that's available.

Thank you.
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Re: How many books will fit into a drawer? (1) Each book has a volume of [#permalink]
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Rocknrolla21 wrote:
BrentGMATPrepNow, can you please explain how does it make a difference if the books are in the shape of a cube or a cuboid.

Can't we treat the volume holistically? Volume is basically the space that's available.

Thank you.

I'm not sure what is meant by the cuboid comment made by the earlier poster.
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Re: How many books will fit into a drawer? (1) Each book has a volume of [#permalink]
BrentGMATPrepNow wrote:
Rocknrolla21 wrote:
BrentGMATPrepNow, can you please explain how does it make a difference if the books are in the shape of a cube or a cuboid.

Can't we treat the volume holistically? Volume is basically the space that's available.

Thank you.

I'm not sure what is meant by the cuboid comment made by the earlier poster.

Sure. BrentGMATPrepNow.

Thank you.
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Re: How many books will fit into a drawer? (1) Each book has a volume of [#permalink]
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Knowing just the volume of the book makes the whole problem insufficient- you always have to know the specific dimensions for both a container and the items fitting in the container
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Re: How many books will fit into a drawer? (1) Each book has a volume of [#permalink]
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Re: How many books will fit into a drawer? (1) Each book has a volume of [#permalink]
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