Christine used 12 cubes to make this 3-steps staircase. If she uses a total 56 cubes to make

A similar staircase how many steps will the staircase have ? Think of using objects to help you solve this problem

We can't see a diagram on this forum. However, one way a staircase of 12 blocks could be built is:

First step is 2 blocks wide and 1 block tall (2 blocks)
Second step is 2 blocks wide and 2 blocks tall (4 blocks)
Third steps is 2 blocks wide and 3 blocks tall (6 blocks)
This uses a total of 2+4+6 = 12 blocks.

Keep building stairs onto that, using the pattern you see, until you get to a total of 56 blocks. Then count how many stairs you have in total.

To solve this problem, let's break it down step-by-step:

1. First, let's determine the number of cubes Christine used for each step in the 3-step staircase. Since she used a total of 12 cubes, and the staircase has 3 steps, we can divide the total number of cubes (12) by the number of steps (3) to find that each step consists of 4 cubes.

2. Next, let's find out how many steps the similar staircase will have when using a total of 56 cubes. To do this, we need to figure out the number of cubes per step in the similar staircase.

3. Since Christine used 4 cubes per step in the 3-step staircase, we can use this as a ratio to find the number of cubes per step in the similar staircase. The ratio between the number of cubes in the 3-step staircase and the number of cubes in the similar staircase is 12:56. Let's simplify this ratio by dividing both sides by 4: 12 divided by 4 is 3, and 56 divided by 4 is 14.

4. Therefore, the number of cubes per step in the similar staircase is 14. To find out how many steps there will be in the similar staircase, we need to divide the total number of cubes (56) by the number of cubes per step (14). This calculation gives us the answer of 4.

Thus, the similar staircase will have a total of 4 steps.