## May 22, 2011

### 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

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...

If you are found or play online puzzles games please Anonymous said...

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

Rakesh R said...