If a cube of 27 meter *meter*meter painted red from out side , if it cutinto 27 equal part , then how many cubes were there(a) no face painted -------------------------(b) only one face painted--------------------(c) only two faces painted..........................(d) three faces painted.............................

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Answered by: Jonathan

  • Sep 23rd, 2006


Cube is sliced in 3 layers of 9 cubes each:a. No face painted: 1b. Only 1 face painted: as many faces as the original cube had, i.e. 6c. Only two facccce painted: as many edges as the original cube had, i.e. 12d. Three faces painted: as many sommit as the original cube had, i.e. 8=> consistency check: 1+6+12+8=27

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nobel sharanyan.J

  • Sep 23rd, 2006
 

area of the cube is A^3, then A^3 = 27----> A=3

1."no of cubes un painted is ONE"

2. " no of one side painted cube is 4"

3. " no of two sides painted cube is 12"

4. " no of three side painted cube is 8"

Jonathan

  • Sep 23rd, 2006
 

Cube is sliced in 3 layers of 9 cubes each:a. No face painted: 1b. Only 1 face painted: as many faces as the original cube had, i.e. 6c. Only two facccce painted: as many edges as the original cube had, i.e. 12d. Three faces painted: as many sommit as the original cube had, i.e. 8=> consistency check: 1+6+12+8=27

kukuadventure

  • Dec 5th, 2006
 

The ans to any such cube related questions is the following formulae...let the cube be x by x by x i.e for eg. 4x4x4 cubeThen three faces painted = 8 (always 8 as they r the 8 corner cubes)only two faces painted= 6(x-2)no face painted = 12 multiplied by square of (x-2);only one face painted = cube of (x-2)

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sudarshan

  • Jan 21st, 2007
 

if there are  'n' cuts...(For eg:- A cube having a side of 5 cm and it is cut into 1 cm cube..then, n= 5/1=5.)

this is only for cubes..

no colour sided cubes = (n-2) power 3  (i.e. (n-2)^3)

one side coloured = (n-2)power2 multiplied by 6

two side colored = (n-2)*12

three side colored is always equal to no of corners i.e. = 8.

Deepak Kumar Singh

  • Sep 16th, 2007
 

no face painted

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soumya71

  • Jan 27th, 2010
 

Area of the cube is A^3 then A^3 27----> A 3 

 1. No. of cubes unpainted is ONE 
 2. No. of one side painted cube is 6
 3. No. of two sides painted cube is 12
 4. No. of three side painted cube is 8

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