Problema Solution

Emma is using connecting cubes to make a rectangular model with a height of one connecting cube. With her cubes she can make the model in exactly 3 different ways. If Emma has more than 12 but fewer than 17 cubes, how many cubes does she have?

Answer provided by our tutors

the number of cubes should be written as a product of 2 factors in exactly 3 different ways (she can make the model in exactly 3 different ways)


13 = 1 X 13



12 = 1 X 12


12 = 3 X 4


12 = 2 X 6



14 = 1 X 14


14 = 2 X 7



15 = 1 X 15


15 = 3 X 5



16 = 1 X 16


16 = 2 X 8


16 = 4 X 4


Emma has either 12 or 16 cubes.