You want to make a rectangular model one cube high exactly 2 and only 2 ways. How many cubes would you use?
To find out how many cubes you would use to make a rectangular model one cube high exactly 2 and only 2 ways, we need to consider the possible dimensions of the rectangular model.
Let's start by assuming the base of the rectangular model has dimensions "x" by "y". Then, the number of cubes required would be equal to the product of the two dimensions: x * y.
Now, we need to find the possible combinations of x and y that satisfy the given conditions: a rectangular model one cube high, and exactly 2 and only 2 ways.
Since the rectangular model has to be one cube high, one of the dimensions must be 1. So, we have two scenarios:
1) If x = 1: In this case, the rectangular model is a vertical line with "y" cubes stacked on top of each other. It satisfies the condition of being one cube high, and there is only one possible combination.
2) If y = 1: In this case, the rectangular model is a horizontal line with "x" cubes placed side by side. Again, it satisfies the condition of being one cube high, and there is only one possible combination.
Therefore, the total number of cubes used would be the sum of cubes used in both cases:
Total cubes used = (x * 1) + (1 * y) = x + y
Since we want to make the rectangular model in exactly 2 and only 2 ways, the total cubes used should be equal to 2:
x + y = 2
Now we can list all the possible combinations of x and y that satisfy this equation:
1 + 1 = 2 (x = 1, y = 1)
From this, we can conclude that there is only one way to make a rectangular model one cube high using exactly 2 cubes.