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How many squares are there on a rubik's cube ?




Find out how many squares & rectangles can be formed on the sides
of a solved 3X3 Rubik's cube ?

Note: A square can be considered as a rectangle

14 comments:

GreatSoltan said...

6*[9(1x1)+12(2x1)+6(3x1)+4(2x2)+4(3x2)+1(3x3)] = 216

Anonymous said...

Squares=1*6+9*6+4*6=84
Rectangles=6(9+12+6+4+4+1)=6*36=196

Secret Squïrrel said...

216 rectangles of which 84 are squares.

Avishek said...

A cube has 6 face and each face has 4 straight lines intersecting 4 other.

So to make a rectangle we need to select 2 horizontal and 2 vertical lines .

So the possible number is 6 * (4C2 * 4C2) = 216

vaishu said...

84 squares

EMPORiO said...

yeah its 84..

Company Email said...

I believe its 297.

Anonymous said...

if the squares are considered rectangles... would it not be 216 rectangles plus 84 squares? (300 rectangles and squares)

Anonymous said...

One single square is a square as well as rectangle. i.e. square of 1
2*2 square will have 4+1 squares and 4 rectangles i.e. squares of 1 + squares of 2 will be number of squares and squares and rectangles together will be cube of 2 making total number nine.i.e. cube of no.2
3*3 square will have 14 squares and 22 rectangles making total of 36 i.e. Total number of squares =square of 1+square of2+square of 3 while sum total of squares and rectangles will be 36 i.e square of [1+2+3]
In this manner total number of squares and rectangles can be calculated.

Anonymous said...

One single square is a square as well as rectangle. i.e. square of 1
2*2 square will have 4+1 squares and 4 rectangles i.e. squares of 1 + squares of 2 will be number of squares and squares and rectangles together will be cube of 2 making total number nine.i.e. cube of no.1+2
3*3 square will have 14 squares and 22 rectangles making total of 36 i.e. Total number of squares =square of 1+square of2+square of 3 while sum total of squares and rectangles will be 36 i.e square of [1+2+3]
In this manner total number of squares and rectangles can be calculated.

June 19, 2011 12:41 PM

surendra said...

84 squres

Viraj Shah said...

I can solve a 3x3 cube in less than 2 minutes, trust me ive been doing it for 2 years and for a person doing it for 2 years i am really slow but there are 27 cublets which is a piece. (1 cublet= 1 piece) or if you want how many stickers you would use this formula.

9x6 not that hard it is equal to 54

akas ahmed said...

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Anonymous said...

how about the squares with each side on a different face of the cube? :D

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