Answer
To complete the net of the cuboid with dimensions \(2 \, \text{cm} \times 3 \, \text{cm} \times 5 \, \text{cm}\), draw six rectangles corresponding to each face:
1. Two \(2 \, \text{cm} \times 3 \, \text{cm}\) rectangles.
2. Two \(2 \, \text{cm} \times 5 \, \text{cm}\) rectangles.
3. Two \(3 \, \text{cm} \times 5 \, \text{cm}\) rectangles.
Arrange them in a way that all adjacent sides connect properly, forming the complete net of the cuboid.
Solution
To complete the net of a cuboid with dimensions \(2 \, \text{cm} \times 3 \, \text{cm} \times 5 \, \text{cm}\), we first need to understand the structure of the net.
A cuboid has six faces, and each face is a rectangle. The dimensions of the faces are as follows:
1. Two faces with dimensions \(2 \, \text{cm} \times 3 \, \text{cm}\)
2. Two faces with dimensions \(2 \, \text{cm} \times 5 \, \text{cm}\)
3. Two faces with dimensions \(3 \, \text{cm} \times 5 \, \text{cm}\)
### Step-by-step to complete the net:
1. **Identify the Faces**:
- **Face 1**: \(2 \, \text{cm} \times 3 \, \text{cm}\) (2 pieces)
- **Face 2**: \(2 \, \text{cm} \times 5 \, \text{cm}\) (2 pieces)
- **Face 3**: \(3 \, \text{cm} \times 5 \, \text{cm}\) (2 pieces)
2. **Draw the Net**:
- Start by drawing one of the \(2 \, \text{cm} \times 3 \, \text{cm}\) rectangles.
- Attach another \(2 \, \text{cm} \times 3 \, \text{cm}\) rectangle to one of the longer sides of the first rectangle.
- Next, attach a \(2 \, \text{cm} \times 5 \, \text{cm}\) rectangle to one of the shorter sides of the first rectangle.
- Attach another \(2 \, \text{cm} \times 5 \, \text{cm}\) rectangle to the opposite side of the first rectangle.
- Finally, attach the two \(3 \, \text{cm} \times 5 \, \text{cm}\) rectangles to the remaining sides.
### Visual Representation:
The net can be visualized as follows:
```
+---------+
| | (3 cm)
| 2 |
| |
+-----+---------+-----+
| | | |
| 2 | 5 | 2 |
| | | |
+-----+---------+-----+
| |
| 5 |
| |
+---------+
```
### Conclusion:
This is a basic representation of the net of the cuboid. You can adjust the layout as needed, but ensure that all six faces are included in the net.
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