Emily wants to make a regtangular 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 2 ways. A6, B12, C16, D18

which number has only two pairs of factors?

b.12

12

To solve this problem, let's start by visualizing the two different ways Emily can make the rectangular model with a height of one connecting cube.

First, let's consider one possible way to build the model. Since the model has a height of one cube, we can place one cube on top of the other to create a stacking structure. This means that the base of the model will be a single layer of cubes, representing the floor.

Now, let's think about the second way to build the model. Instead of creating a single layer for the base, we can make a 2x2 cube with two layers. This means that the floor will have four cubes arranged in a 2x2 pattern.

To determine the total number of cubes required for both configurations, we need to count the cubes in each pattern separately and then add them up.

For the first configuration, we have one cube in the base layer.

For the second configuration, we have four cubes in the base layer.

Therefore, the total number of cubes needed to create the model in two different ways is 1 + 4 = 5.

Since none of the options given (A6, B12, C16, D18) corresponds to the correct answer, we can conclude that none of those choices are correct.

To summarize, Emily would need 5 connecting cubes to create the rectangular model with a height of one connecting cube in exactly 2 different ways.