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# A 4 cm cube is cut into 1 cm cubes. What is the percentage

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Manager
Joined: 02 Aug 2007
Posts: 146
Followers: 1

Kudos [?]: 14 [0], given: 0

A 4 cm cube is cut into 1 cm cubes. What is the percentage [#permalink]  11 Nov 2007, 12:10
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A 4 cm cube is cut into 1 cm cubes. What is the percentage increase in the surface area after such cutting?

A. 4%
B. 166%
C. 266%
D. 300%
E. 400%
VP
Joined: 08 Jun 2005
Posts: 1147
Followers: 6

Kudos [?]: 128 [0], given: 0

Area of 4cm cube = 4^3 = 64 ---> Surface = 4^2*6 = 96

Area of 1cm cube = 1^3 = 1 ---> Surface = 1^2*6 = 6

No. of 1cm cubes 64/1 = 64

(6*64/96 - 1) = 3

Manager
Joined: 02 Aug 2007
Posts: 146
Followers: 1

Kudos [?]: 14 [0], given: 0

KS - Why did you multipy by 6 and subtract 1 from 96?

(6*64/96 - 1) = 3

change / original = percent increase
VP
Joined: 08 Jun 2005
Posts: 1147
Followers: 6

Kudos [?]: 128 [0], given: 0

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