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A carpenter constructed a rectangular sandbox with a [#permalink]
 13 Aug 2012, 07:02
Question Stats:
74% (01:29) correct
25% (00:26) wrong based on 77 sessions
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions ProjectA carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter were to make a similar sandbox twice as long, twice as wide, and twice as high as the first sandbox, what would be the capacity, in cubic feet, of the second sandbox? (A) 20 (B) 40 (C) 60 (D) 80 (E) 100 Practice Questions
Question: 18
Page: 154
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Re: A carpenter constructed a rectangular sandbox with a [#permalink]
13 Aug 2012, 07:02
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Re: A carpenter constructed a rectangular sandbox with a [#permalink]
13 Aug 2012, 08:16
Let x,y & z be L,W & H so xyz = 10 cu ft As per question if we double the lengths on all dimensions we get (2x)(2y)(2z)=8 xyz= 8*10= 80 Answer: D
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Re: A carpenter constructed a rectangular sandbox with a [#permalink]
13 Aug 2012, 08:21
volume =l*b*h =10 cubic feet
Now we have twice as long, twice as wide, and twice as high as the first sandbox,
L=2*l
B=2*b
H=2*h
final volume =L*B*H =2*l*2*b*2*h=8*(l*b*h) =8*10=80 cubic feet
answer is D
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Re: A carpenter constructed a rectangular sandbox with a [#permalink]
13 Aug 2012, 09:16
V=LWH
Original Volume = 10
In order to keep things simple. I made Height = 5, Length = 2, and Width = 1
The second statement says double everything.
Height = 10, Length = 4, and Width = 2
V = 80
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Re: A carpenter constructed a rectangular sandbox with a [#permalink]
17 Aug 2012, 01:02
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Re: A carpenter constructed a rectangular sandbox with a [#permalink]
12 Apr 2013, 09:52
A quick note on doubling. When you double a length you have 2*L1. When you double all lengths of a rectangle you have (2*L1)(2*L2) = A. An increase of 2^2 or 4. When you double all lengths of a rectangular prism you have (2*L1)(2*L2)(2*L3) = V. An increase of 2^3 or 8.
This leads to the basic relationship:
Line: 2*original size
Rectangle: 4*original size
Rectangular Prism: 8*original size
You can do the math out or memorize this relationship to speed things up.
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Re: A carpenter constructed a rectangular sandbox with a
[#permalink]
12 Apr 2013, 09:52
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