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# PS Sandbox

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Director
Joined: 23 May 2008
Posts: 840
Followers: 3

Kudos [?]: 37 [0], given: 0

PS Sandbox [#permalink]  09 Feb 2009, 21:54
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Difficulty:

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Question Stats:

100% (01:18) correct 0% (00:00) wrong based on 4 sessions
a 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
SVP
Joined: 07 Nov 2007
Posts: 1828
Location: New York
Followers: 29

Kudos [?]: 541 [0], given: 5

Re: PS Sandbox [#permalink]  09 Feb 2009, 22:04
bigtreezl wrote:
a 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

lwh=10 ft^3

2l*2w*2h = 8*lwh = 80

D
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Director
Joined: 23 May 2008
Posts: 840
Followers: 3

Kudos [?]: 37 [0], given: 0

Re: PS Sandbox [#permalink]  09 Feb 2009, 22:05
x2suresh wrote:
bigtreezl wrote:
a 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

lwh=10 ft^3

2l*2w*2h = 8*lwh = 80

D

better explanation than OG 11..thanks
VP
Joined: 18 May 2008
Posts: 1300
Followers: 13

Kudos [?]: 171 [0], given: 0

Re: PS Sandbox [#permalink]  09 Feb 2009, 23:34
volume of rectangular box=l*b*h
since each is multipleied by 2
so new volume=8 *10=80
D
CEO
Joined: 17 Nov 2007
Posts: 3578
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 406

Kudos [?]: 2140 [0], given: 359

Re: PS Sandbox [#permalink]  09 Feb 2009, 23:47
Expert's post
There is a general rule for a object of any form: if we increase all linear sizes by n, all areas will increase by n^2 and all volumes will increase by n^3. So, we can apply here n^3 formula even not knowing the formula for volume. In other words, n^3 will be also true for objects of other forms, such as spheres, pyramids, ellipsoids and even tree-like objects.
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Re: PS Sandbox   [#permalink] 09 Feb 2009, 23:47
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# PS Sandbox

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