Page 109 - NUMINO Challenge_D2
P. 109
Type 12 -2 Coloring Solid Figures
Each face of the cube needs to be colored red or blue. If the shapes
are identical when the cube is turned, how many ways are there to
color the cube?
1 Think about each case when the number of red colored faces of the cube
is 0, 1, 2, 3, 4, 5, and 6. How many ways are there to color no face and all
six faces respectively?
2 How many ways are there to color one face and five faces of the cube
respectively?
3 If the turned cube is viewed in one way, there are two ways to color two
faces of the cube as shown below. Find the number of ways to color three
faces by coloring one more face in each picture.
4 Complete the table to find the number of ways to color the faces of the
cube red or blue.
Faces Colored in Red
Number of Ways
106 NUMINO Challenge D2
Each face of the cube needs to be colored red or blue. If the shapes
are identical when the cube is turned, how many ways are there to
color the cube?
1 Think about each case when the number of red colored faces of the cube
is 0, 1, 2, 3, 4, 5, and 6. How many ways are there to color no face and all
six faces respectively?
2 How many ways are there to color one face and five faces of the cube
respectively?
3 If the turned cube is viewed in one way, there are two ways to color two
faces of the cube as shown below. Find the number of ways to color three
faces by coloring one more face in each picture.
4 Complete the table to find the number of ways to color the faces of the
cube red or blue.
Faces Colored in Red
Number of Ways
106 NUMINO Challenge D2
