Problem Analysis:
The image shows a 3D structure composed of smaller cubes. The task is to determine the total number of cubes in the structure and match it with one of the given options (A, B, C, D, E).
Step-by-Step Solution:
1.
Understand the Structure:
- The structure is a 3D arrangement of cubes.
- We need to count all the visible cubes and any hidden cubes that are part of the structure.
2.
Break Down the Structure:
- The structure can be divided into layers for easier counting.
- Let's analyze it layer by layer from top to bottom.
3.
Count the Cubes Layer by Layer:
#### Top Layer:
- There are 4 cubes in the top layer.
- Two cubes on the left side.
- Two cubes on the right side.
#### Middle Layer:
- There are 6 cubes in the middle layer.
- Three cubes on the left side.
- Three cubes on the right side.
#### Bottom Layer:
- There are 9 cubes in the bottom layer.
- Four cubes on the left side.
- Five cubes on the right side.
4.
Sum the Total Number of Cubes:
- Top Layer: 4 cubes
- Middle Layer: 6 cubes
- Bottom Layer: 9 cubes
Total = 4 + 6 + 9 = 19 cubes
5.
Match the Total with the Given Options:
- The total number of cubes is 19.
- The option corresponding to 19 is labeled as "C".
Final Answer:
$$
\boxed{C}
$$
Explanation:
By carefully analyzing the structure layer by layer and summing up the cubes, we determined that the total number of cubes is 19. This matches option "C" in the given choices.
Parent Tip: Review the logic above to help your child master the concept of spatial reasoning worksheet.
