CuBE!

This topic has expert replies
User avatar
Senior | Next Rank: 100 Posts
Posts: 80
Joined: Sat Sep 15, 2012 1:07 am
Thanked: 1 times
Followed by:1 members

CuBE!

by AIM TO CRACK GMAT » Mon Oct 21, 2013 10:43 pm
If the length of cube is increased by 100% , by what % does the volume increase?

100%
200%
400%
700%

User avatar
Legendary Member
Posts: 1556
Joined: Tue Aug 14, 2012 11:18 pm
Thanked: 448 times
Followed by:34 members
GMAT Score:650

by theCodeToGMAT » Mon Oct 21, 2013 10:52 pm
Volume of Cube = (Side)^3

New Side = 2*side

Increase = (NEw - OLD)/OLD = (8*side^3 - Side^3)/Side^3 = 7 .. So 700%
R A H U L

GMAT/MBA Expert

User avatar
Elite Legendary Member
Posts: 10392
Joined: Sun Jun 23, 2013 6:38 pm
Location: Palo Alto, CA
Thanked: 2867 times
Followed by:511 members
GMAT Score:800

by [email protected] » Mon Oct 21, 2013 11:59 pm
Hi Aim,

For these types of questions, you might find it useful to TEST VALUES.

If the side length = 2, then the Volume = (2)(2)(2) = 8

Now, increase the length by 100%

New side length = 4, so the new Volume = (4)(4)(4) = 64

% increase = (New - Old)/Old = (64 - 8)/8 = 56/8 = 7 = 700%

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
Image

User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 am
Location: India
Thanked: 267 times
Followed by:80 members
GMAT Score:760

by sanju09 » Tue Oct 22, 2013 12:10 am
AIM TO CRACK GMAT wrote:If the length of cube is increased by 100% , by what % does the volume increase?

100%
200%
400%
700%
A 100 percent increase in value doubles the value, and if the side is doubled, volume would go eight folded, showing a [spoiler]700[/spoiler] percent increase in value.

Pick the nameless [spoiler]fourth[/spoiler] up. It's a nice but not a properly urbanized GMAT problem.
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com