Emma os 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
Emma is using connecting cubes to make a rectangular model with a hight of one connecting cube.With her cube she could make the model and exactly three different ways.If Emma has more than 12 but fewer than 17 cubes how many cubes does she have?
To solve this problem, we first need to understand the conditions given. Emma is making a rectangular model with a height of one connecting cube. This means that the model can be represented as a rectangular prism with a height of 1 cube.
The problem states that Emma can make the model in exactly 3 different ways. Let's consider the different ways she can arrange the cubes:
1. The model can be a rectangular prism with a length of 1, a width of 1, and a height of 1 cube. In this case, she would need a total of 1 cube.
2. The model can be a rectangular prism with a length of 2, a width of 1, and a height of 1 cube. In this case, she would need a total of 2 cubes.
3. The model can be a rectangular prism with a length of 3, a width of 1, and a height of 1 cube. In this case, she would need a total of 3 cubes.
Based on these possibilities, we can see that the number of cubes Emma has is between 1 and 3.
The problem also states that Emma has more than 12 but fewer than 17 cubes. Therefore, we need to find a number between 1 and 3 that satisfies this condition.
By checking each number individually, we can conclude that Emma has 13 cubes.