Good evening experts
Ch-Cubes and Dices
Please explain n answer the question
Dear Student,
Solution) Number of small cubes of equal size = 216
and cube root of 216 (6 × 6 × 6) = 6
It means each side of big cube = 6 cm
So, each side of cube is a square.
Area of square = 6 × 6 = 36 cm2
Now, opposite faces are coloured with red, green and blue.
Assume that top and bottom faces are covered with red, the lateral face covered with blue and front and rear faces are covered with green.
So, number of cubes with only 1 red colour = 2 × 16 = 32
where 16 on each top and bottom faces.
number of cubes with only 1 blue colour = 2 × 16 = 32
where 16 each on both lateral sides.
number of cubes with only 1 green colour = 2 × 16 = 32
where 16 on each front and rear faces.
Therefore, total number of small cubes with only one surface painted = 32 + 32 + 32 = 96
Regards!
Solution) Number of small cubes of equal size = 216
and cube root of 216 (6 × 6 × 6) = 6
It means each side of big cube = 6 cm
So, each side of cube is a square.
Area of square = 6 × 6 = 36 cm2
Now, opposite faces are coloured with red, green and blue.
Assume that top and bottom faces are covered with red, the lateral face covered with blue and front and rear faces are covered with green.
So, number of cubes with only 1 red colour = 2 × 16 = 32
where 16 on each top and bottom faces.
number of cubes with only 1 blue colour = 2 × 16 = 32
where 16 each on both lateral sides.
number of cubes with only 1 green colour = 2 × 16 = 32
where 16 on each front and rear faces.
Therefore, total number of small cubes with only one surface painted = 32 + 32 + 32 = 96
Regards!