Page 80 - NUMINO Challenge_C1

Basic Concepts Stacking Dice

The total number of all the pips on a die is 1 2 3 4 5 6 21.

The total number of all the pips on the outside when two dice are put

together is: Greatest:
Greatest when the number of pips on the faces that

meet is the smallest.

21 2 (1 2) 40.

Smallest when the number of pips on the faces that Least:

meet is the greatest.

21 2 (6 2) 30.

Example In a stack of two dice, what is the total number of all the
pips on the outside, excluding the pips on the base?

Class Notes

Since the number of pips on the base of the upper It is the same
as 21-3=18.
die is , according to the “Rule of Seven,” the total
number of all the pips on the outside of the upper die is

.

Since the total number of pips at the top and at the base of
the lower die is , then the total number of all the pips

on the outside of the lower die is .

Therefore, the total number of all the pips on the outside of the two dice is

.

Try It Again The colored faces of two dice are glued together as shown
below. Including the base, what is the total number of all the
pips on the outside?

77Geometry