To solve the problem, let's analyze the information provided:

1. Dimensions of a single block:
   Each block has dimensions of $3 \text{ cm} \times 4 \text{ cm} \times 2 \text{ cm}$.

2. Dimensions of the solid object formed:
   The solid object formed by these blocks is a cube. By looking at the cube, we can see that it has a 4x4x4 structure in terms of small cubes.

3. Number of small blocks in one layer:
   Each layer of the cube consists of $4 \times 4 = 16$ small blocks.

4. Total number of blocks used:
   Since the cube has 4 layers (because it's a 4x4x4 cube), the total number of blocks is: $16 \times 4 = 64 \text{ blocks}$

Thus, Mia used 64 blocks to create the solid object.

Would you like any more details or have any questions?

Here are 8 related questions to expand your understanding:

1. How would the total number of blocks change if the solid was a 5x5x5 cube?
2. What would be the total volume of the solid object created by the blocks?
3. If each block was instead 2x2x2 cm, how many blocks would Mia need for the same structure?
4. How many blocks would Mia use if the structure was a 3x3x3 cube?
5. What is the surface area of the cube if one face of a block measures 4 cm by 3 cm?
6. How would the number of blocks change if each layer of the solid had one block removed?
7. What is the total weight of the solid object if each block weighs 50 grams?
8. How would the shape of the solid object change if the blocks were arranged in a different pattern?

Tip: Understanding the structure of the object and the dimensions of the individual blocks is key to solving such volume-related problems.