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Easy BUT!!!! OG 12 problem!

soniadiana2011 Junior | Next Rank: 30 Posts
Joined
16 May 2012
Posted:
14 messages

Easy BUT!!!! OG 12 problem!

Thu May 31, 2012 10:26 am
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 fi rst sandbox, what would be
the capacity, in cubic feet, of the second sandbox?
(A) 20
(B) 40
(C) 60
(D) 80
(E) 100

aneesh.kg Master | Next Rank: 500 Posts
Joined
16 Apr 2012
Posted:
385 messages
Followed by:
29 members
186
Thu May 31, 2012 11:04 am
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 fi rst sandbox, what would be
the capacity, in cubic feet, of the second sandbox?
(A) 20
(B) 40
(C) 60
(D) 80
(E) 100

If the edges of the initial box are a, b and c long, then
Volume = (a)(b)(c) = 10

If each of the dimensions is made twice, then the new lengths of the edges are 2a, 2b and 2c.
New Volume = (2a)(2b)(2c) = 8abc
Since abc = 10,
New Volume = 8*10 = 80 cubic feet

_________________
Aneesh Bangia
GMAT Math Coach
aneesh.bangia@gmail.com

GMAT/MBA Expert

Anurag@Gurome GMAT Instructor
Joined
02 Apr 2010
Posted:
3835 messages
Followed by:
520 members
1854
GMAT Score:
770
Thu May 31, 2012 11:01 am
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?
Say, the first sandbox is a feet long, b feet wide, and c feet high.
Hence, volume of the first sandbox = abc = 10 cubic feet

Now, the second sandbox is 2a feet long, 2b feet wide, and 2c feet high.
Hence, volume of the second sandbox = (2a)*(2b)*(2c) = 8abc = 8*10 cubic feet = 80 cubic feet

_________________
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

GMAT with Gurome

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