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To solve this problem, we need to determine the volume and surface area of the solid represented by the given net. Based on the diagram, it appears that the solid is a triangular prism. Here’s how we can calculate each part:

### 1. Understanding the Components
The net of the solid consists of:
- A triangular face with a base of \( 5 \, \text{cm} \) and a height of \( 3 \, \text{cm} \).
- Two rectangular faces of \( 4 \, \text{cm} \times 11 \, \text{cm} \) and \( 5 \, \text{cm} \times 11 \, \text{cm} \).
- Another rectangular face of \( 3 \, \text{cm} \times 11 \, \text{cm} \).

### 2. Finding the Volume
The volume of a triangular prism is calculated using:
\[
\text{Volume} = \text{Area of the triangular base} \times \text{height of the prism}
\]

- **Area of the triangular base**:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 5 \, \text{cm} \times 3 \, \text{cm} = 7.5 \, \text{cm}^2
\]

- **Height of the prism**: This corresponds to the length of the prism, which is \( 11 \, \text{cm} \).

- **Calculating the volume**:
\[
\text{Volume} = 7.5 \, \text{cm}^2 \times 11 \, \text{cm} = 82.5 \, \text{cm}^3
\]

### 3. Finding the Surface Area
The surface area of the prism is the sum of the areas of all its faces:
- Two triangular faces: \( 2 \times 7.5 \, \text{cm}^2 = 15 \, \text{cm}^2 \).
- Rectangular face (3 cm × 11 cm): \( 3 \, \text{cm} \times 11 \, \text{cm} = 33 \, \text{cm}^2 \).
- Rectangular face (4 cm × 11 cm): \( 4 \, \text{cm} \times 11 \, \text{cm} = 44 \, \text{cm}^2 \).
- Rectangular face (5 cm × 11 cm): \( 5 \, \text{cm} \times 11 \, \text{cm} = 55 \, \text{cm}^2 \).

- **Calculating the total surface area**:
\[
\text{Surface Area} = 15 \, \text{cm}^2 + 33 \, \text{cm}^2 + 44 \, \text{cm}^2 + 55 \, \text{cm}^2 = 147 \, \text{cm}^2
\]

### Final Answers:
- **Volume**: \( 82.5 \, \text{cm}^3 \)
- **Surface Area**: \( 147 \, \text{cm}^2 \)

Would you like more details on any part of the solution, or do you have any questions?

### Related Questions:
1. How do you find the volume of other types of prisms?
2. What is the formula for calculating the surface area of a cylinder?
3. How would the calculations change if the height of the triangular base changed?
4. What are some common mistakes to avoid when calculating the surface area of a net?
5. How can you determine the volume of a prism if the base is a trapezoid?

### Tip:
When dealing with nets, make sure to clearly identify all the different shapes and their measurements before starting any calculations. This helps in accurately determining both the volume and surface area.

Find the volume and surface area of the solid with the net shown in the diagram.

Learn how to find the volume and surface area of a triangular prism using its net. Includes detailed steps for calculating the volume and surface area of a prism with a base of 5 cm, height of 3 cm, and a length of 11 cm. Suitable for Grades 7-9.

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