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crackgmat2009 · 2009 June 10th, 08:56 AM

A cube of side 5cm is painted on all its side. If it is sliced into 1 cubic centimer cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted?
A 9
B 51
C 90
D 54
E 64

abhishek_mumbai · 2009 June 10th, 11:53 AM

my vote is D..

draw a cube.. divide it in 1 cm cubes.. on each face, there will be 25 pieces..
leave the one on edges as they will be with more than one paint..

in center. there are 9 cubes..
total such cubes = 9 * 6 = 54

IMO D

ameyp12 · 2009 June 10th, 09:00 PM

YES D it it

For each face you have 3 * 3 = 9 such cubes cubes (Leave 1 cm border form all sides )
Total = 9 *6 =54

badpit · 2009 June 11th, 04:21 PM

D from me too. (5-2)^2* 6 sides

nomadmba · 2009 June 12th, 11:50 AM

Yep D!

You can draw a quick little diagram of one side of a cube and divide it 5x5. Now count the squares that are not on the edge: 9. Multiply by 6 for all six sides of a cube.

ruchis_aug · 2009 June 12th, 12:24 PM

Imo D
9*6 = 54

eravi11 · 2009 June 27th, 12:01 AM

One more vote for D

ships12 · 2009 June 27th, 01:53 PM

Another vote for D

2009 June 10th, 08:56 AM	#1 (permalink)
crackgmat2009 i can do it Join Date: Jun 2009 Location: new delhi Posts: 16	Problem Of Solid Geometry A cube of side 5cm is painted on all its side. If it is sliced into 1 cubic centimer cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted? A 9 B 51 C 90 D 54 E 64

2009 June 10th, 09:00 PM	#3 (permalink)
ameyp12 Within my grasp! Join Date: Nov 2007 Posts: 375	YES D it it For each face you have 3 * 3 = 9 such cubes cubes (Leave 1 cm border form all sides ) Total = 9 *6 =54 _ _ _ _ SIG _ _ _ _ Thanks - A

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2009 June 10th, 11:53 AM	#2 (permalink)
abhishek_mumbai Done with GMAT - 700 Join Date: Apr 2009 Location: Pune, India Posts: 1,182	my vote is D.. draw a cube.. divide it in 1 cm cubes.. on each face, there will be 25 pieces.. leave the one on edges as they will be with more than one paint.. in center. there are 9 cubes.. total such cubes = 9 * 6 = 54 IMO D

2009 June 11th, 04:21 PM	#4 (permalink)
badpit I JUST got here. Join Date: Feb 2009 Posts: 4	D from me too. (5-2)^2* 6 sides

2009 June 12th, 11:50 AM	#5 (permalink)
nomadmba I JUST got here. Join Date: Jun 2009 Posts: 9	Yep D! You can draw a quick little diagram of one side of a cube and divide it 5x5. Now count the squares that are not on the edge: 9. Multiply by 6 for all six sides of a cube.

2009 June 12th, 12:24 PM	#6 (permalink)
ruchis_aug I JUST got here. Join Date: May 2008 Posts: 9	Imo D 9*6 = 54

2009 June 27th, 12:01 AM	#7 (permalink)
eravi11 So far So bad! Join Date: Feb 2009 Posts: 630	One more vote for D

2009 June 27th, 01:53 PM	#8 (permalink)
ships12 I JUST got here. Join Date: Jun 2009 Posts: 16	Another vote for D

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