Problem Analysis
The task involves identifying which set of 3D blocks can be combined to form the main shape shown in the question. The main shape is a 3D structure composed of multiple rectangular prisms (blocks) arranged in a specific configuration.
#### Main Shape Characteristics:
1. The main shape consists of
three vertical columns.
2. Each column has a different height:
- The left column has
3 blocks.
- The middle column has
2 blocks.
- The right column has
3 blocks.
3. The blocks are stacked in such a way that they form a stepped pattern, with some blocks offset horizontally.
#### Task:
We need to determine which option (A, B, C, D, or E) contains the exact blocks required to reconstruct the main shape.
---
Step-by-Step Solution
#### Step 1: Analyze the Main Shape
- The main shape requires
8 blocks in total:
- 3 blocks for the left column.
- 2 blocks for the middle column.
- 3 blocks for the right column.
- The blocks must be of the correct sizes and orientations to fit the stepped pattern.
#### Step 2: Examine Each Option
We will evaluate each option to see if it contains the necessary blocks to reconstruct the main shape.
##### Option A:
- Contains
6 blocks in total.
- The blocks are not sufficient in number or orientation to form the main shape.
-
Eliminate Option A.
##### Option B:
- Contains
6 blocks in total.
- The blocks are not sufficient in number or orientation to form the main shape.
-
Eliminate Option B.
##### Option C:
- Contains
8 blocks in total.
- The blocks appear to match the required sizes and orientations:
- There are blocks of varying heights and widths that can be stacked to form the stepped pattern.
- The arrangement of blocks in Option C matches the requirements of the main shape.
-
Keep Option C as a potential candidate.
##### Option D:
- Contains
6 blocks in total.
- The blocks are not sufficient in number or orientation to form the main shape.
-
Eliminate Option D.
##### Option E:
- Contains
8 blocks in total.
- While the number of blocks is correct, the shapes and orientations do not match the requirements of the main shape.
- Specifically, the blocks in Option E do not have the correct configurations to stack into the stepped pattern.
-
Eliminate Option E.
#### Step 3: Confirm the Correct Option
- After evaluating all options, only
Option C contains the exact blocks needed to reconstruct the main shape.
- The blocks in Option C can be arranged to match the stepped pattern and column heights of the main shape.
---
Final Answer:
$$
\boxed{C}
$$
Parent Tip: Review the logic above to help your child master the concept of spatial reasoning worksheet.
