Large to small brick

Expert replies

harsh.champ: Legendary Member; Posts: 1132; Joined: Mon Jul 20, 2009 3:38 amFollowed by: 6 members; Location: India; Thanked: 64 times; GMAT Score:760

by harsh.champ » Fri Feb 19, 2010 9:47 am

The solid brick shown is made of small bricks of side 1. When the large brick is disassembled into its component small bricks, the total surface area of all the small bricks is how much greater than the surface area of the large brick?

A. 32
B. 40
C. 60
D. 72
E. 80

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Source: Beat The GMAT — Problem Solving | Fri Feb 19, 2010 9:47 am

shashank.ism: Legendary Member; Posts: 1022; Joined: Mon Jul 20, 2009 11:49 pmFollowed by: 2 members; Location: Gandhinagar; Thanked: 41 times

by shashank.ism » Sat Feb 20, 2010 11:38 am

harsh.champ wrote:The solid brick shown is made of small bricks of side 1. When the large brick is disassembled into its component small bricks, the total surface area of all the small bricks is how much greater than the surface area of the large brick?

A. 32
B. 40
C. 60
D. 72
E. 80

so dimension of bigger brick = 3x2x2
so its surface area = 2(2x2+3x2 +3x2) = 32

total surface area of single block = 2(1x1+1x1+1x1) = 6
there are total 12 bricks smaller one
so total surface area = 12x 6 = 72
[spoiler]so diff= 72 -32 = 40 Ans B[/spoiler]

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gmattarget700: Senior | Next Rank: 100 Posts; Posts: 67; Joined: Mon Jan 05, 2009 11:10 pm; Thanked: 2 times

by gmattarget700 » Sat Feb 20, 2010 2:59 pm

I think Question should be corrected: instead of asking "how much greater", should be put: "how much more"

and as shashank shown below, answer would be 72-32 = 40

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