https://file.aiquickdraw.com/mathbot/file/1726111145515vfgcne3x.jpg

From the image you provided, the problem describes stacking cubic building blocks and asks you to calculate how many building blocks are on one side of the perimeter when 792 blocks are used in total.

Let's break this down:

- **Step 1**: Blocks are arranged in a square, creating two layers (as mentioned) on the perimeter.
- **Step 2**: The blocks are then stacked to create a cubic structure where the number of layers equals the number of blocks on one side of the perimeter.

The example given shows an initial number of blocks (7 blocks per side), and the stacking process forms a cube-like structure. 

Now, we need to solve the problem with **792 blocks in total**.

### Method to solve:
1. **Side length and total number of blocks**:
   - The total number of blocks in a cube-like structure with side length \( n \) is determined by \( n^3 \), but here the question involves stacking in layers around a perimeter.
   - We need to determine the side length such that the total number of blocks arranged in this manner equals 792.

I will now compute the number of blocks per side based on the description and total block count. Let me calculate this for you.Based on the calculation, the side length \( n \) for the square perimeter is approximately **9 blocks**. 

This means there are **9 building blocks on one side of the perimeter** in **step 1** when stacking the blocks to match a total of 792 blocks across the entire structure.

Would you like further clarification or details on this process?

Here are 5 related questions you might find helpful:
1. How do we calculate the total number of blocks for different side lengths?
2. What is the exact formula for calculating the total number of blocks stacked in multiple layers?
3. How would this change if the total number of blocks was different (e.g., 500 or 1000)?
4. What other arrangements could be used with 792 blocks?
5. How does the perimeter calculation change if the blocks are arranged in a different shape?

**Tip**: When dealing with structures involving cubes or layers, it helps to estimate using cube roots to get an initial sense of the dimensions involved.

If you use 792 building blocks, how many building blocks are on one side of the perimeter in step 1?

Learn how to calculate the number of building blocks on one side of the perimeter when stacking 792 cubic blocks. This problem involves key geometric and algebraic concepts, including cube volume estimation and perimeter calculation. Suitable for students in Grades 7-10.

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