On the game dice, the total number of points on any two opposite faces is 7 inches glued a column of 6 such
On the game dice, the total number of points on any two opposite faces is 7 inches glued a column of 6 such cubes and got the total number of points on all outer faces What is the largest number he could get
We divide the cubes into 2 groups according to their location in the glued column:
1) internal, in the amount of 4 pieces;
2) Outdoor – 2 pieces.
1) No matter how we glue the inner cubes, we will always have 4 visible faces on each. That is, two pairs of opposite faces, the sum of the points on which will be 7 * 2 = 14.
This means that 4 dice will have visible points in the amount:
14 * 4 = 56.
2) In order for the visible number of points to be the largest, we should glue the outer cubes to the inner image 6 points outward.
Then points will be visible on these cubes:
2 * (14 + 6) = 40.
Total in the column of visible points:
56 + 40 = 96.