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A wrapping paper has dimensions 1 yard by 7 yards. What is

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Senior Manager
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A wrapping paper has dimensions 1 yard by 7 yards. What is [#permalink] New post 11 Jan 2005, 08:22
A wrapping paper has dimensions 1 yard by 7 yards. What is the volume in cu.ft of the largest cube that could be packed using this paper? (1 yard = 3 ft)

a) 8 B) 9 C) 18 D) 27 E) 36


I already have the OA. So please just don;t post number, show how you got it.
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 [#permalink] New post 11 Jan 2005, 10:31
The largest cube would be of side 3 so voulme would be 27cu feet

The area of the paper is 3 * 27 u can get 6 3x3 out of this so total surface area 6 * 3*3 = 54

so answer D
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 [#permalink] New post 11 Jan 2005, 11:31
Total area of paper = 3*21=63

Surface area of cube=6a^2

if a=4, 6a^2= 96
if a=3, 6a^2=54 which is less than 63

thus a cube of side 3 is the largest cube which can be wrapped whose vol=3*3*3=27
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 [#permalink] New post 11 Jan 2005, 12:27
I get D

Area of the sheet of paper = 21*3=63 = Surface area of cube

6s^2 = 63

s^2~9

s^3~27
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 [#permalink] New post 11 Jan 2005, 17:26
Hi

I dont think we can make either of the following assumptions:
(a) edge of the cube in feet is an integer
(b) 6s^2 = 63 => s = 3

If we don't make these assumptions:

6s^2 = 63
=> s^2 = 10.5
=> volume = s^3 = 10.5 ^ (3/2) = 34 sq feet

Thoughts?
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 [#permalink] New post 12 Jan 2005, 00:07
ssumitsh wrote:
Hi

I dont think we can make either of the following assumptions:
(a) edge of the cube in feet is an integer
(b) 6s^2 = 63 => s = 3

If we don't make these assumptions:

6s^2 = 63
=> s^2 = 10.5
=> volume = s^3 = 10.5 ^ (3/2) = 34 sq feet

Thoughts?



I agree. I did it the same way.

I have seen lately a number of questions with wrong OAs (not necessarily this one). I would suggest posting next to these kinds of OAs which the poster is not sure about words like 'OA but not sure!'

Many times it happen that the questions are wrongly worded, OAs are incorrect, or both.

This will help us focus on the concept rather than try to fit our concepts to the answer choices.
  [#permalink] 12 Jan 2005, 00:07
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