Emily wants to make a rectangular model with a height of one connecting cube. She wants to make the model in exactly 2 different ways. How many connecting cubes could emily use to make the model in only two ways
Your answer would be 12.
She can use 12 connecting cubes to make the model in only two ways.
Answer:
6 connecting cubes
Step-by-step explanation:
Finding rectangular models in two ways is nothing but factorization of a number in two different ways.
Note that 6 is the minimum number with two different factorization 1 x 6 and 2 x 3.
There is another number 4 (< 6) with two different factorization 1 x 4 and 2 x 2 but 2 x 2 will give a square model.
Hence, using 6 connecting cubes, Emily can make one rectangular model with dimensions 1 x 6 and another with dimensions 2 x 3.