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Source: Official Guide for the GMAT 13th Ed. Problem Solving; #18 Official Guide for the GMAT 2015 14th Ed. Problem Solving; #18

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A carpenter constructed a rectangular sandbox with

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?

3 Explanations

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2

Since current volume is:
L*L*L = 10
cube root of 10 = L

Since the new volume is: (2L)^3
(2^3) * (cube root of 10^3)

So, 8 * 10 = 80

Note: Thanks Amy for noting the fail ;)

Jan 24, 2015 • Comment

AMY TICSAY

I believe you meant volume instead of "area" since capacity = volume

Feb 20, 2015 • Reply

Jonathan , Magoosh Tutor

Right, that's the new volume :)

Feb 23, 2015 • Reply

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VIKRAM GOPAL SHARMA

v = lbh = 10
v' = 2l*2b*2h
v' = 8lbh => 80

Oct 15, 2014 • Comment

Bharath Reddy

I also did this prob same

Jul 20, 2015 • Reply

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Mike McGarry, Magoosh Tutor

Dec 26, 2013 • Comment

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