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A cube is coloured red on one face,green on the opposite
face,yellow on the another face and blue on a face adjecent
to yellow face. The other two faces are left uncoloured. it
is then cut into 125 smaller cubes of equal size.
Q-1: How many Cubes are coloured blue on one faces,red or
green on another face and have four uncoloured faces?
Q-2: How many cubes are coloured red on one face,and have
the remaining faces uncoloured?
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Answer / srawan
Since the number of smaller cubes are 125, and the area of
cube is a^3 where a is the side of the original cube, 125=
5^3. Therefore, we have all sides of the cube divided into 5
parts each.
Q-1: Cubes colored blue on one faces, red or green on the
other= 5+5=10
Cubes having four uncolored faces= 4*4*3= 48
Q-2: Cubes having red on one face and remaining uncolored=
4*4= 16.
| Is This Answer Correct ? | 18 Yes | 21 No |
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