The image shows a question asking to calculate the surface area of a prism using its net. Let's go step by step:

Surface Area Calculation:

From the net provided, we can break down the prism into its individual rectangular faces. There are 6 rectangles.

1. Front/Back faces: These are the vertical rectangles of dimensions $1 \, \text{m} \times 3 \, \text{m}$ (one for the front and one for the back).

   • Area of each = $1 \times 3 = 3 \, \text{m}^2$
   • Total area for these faces = $3 \, \text{m}^2 \times 2 = 6 \, \text{m}^2$

2. Top/Bottom faces: These are horizontal rectangles of dimensions $5 \, \text{m} \times 1 \, \text{m}$.

   • Area of each = $5 \times 1 = 5 \, \text{m}^2$
   • Total area for these faces = $5 \, \text{m}^2 \times 2 = 10 \, \text{m}^2$

3. Side faces: There are two side faces, each of dimensions $3 \, \text{m} \times 1 \, \text{m}$ (side walls of the prism).

   • Area of each = $3 \times 1 = 3 \, \text{m}^2$
   • Total area for these faces = $3 \, \text{m}^2 \times 2 = 6 \, \text{m}^2$

Total Surface Area:

Adding the areas of all faces: $6 \, \text{m}^2 + 10 \, \text{m}^2 + 6 \, \text{m}^2 = 22 \, \text{m}^2$

However, none of the answer choices directly matches this total, so it seems the net or question might have an error or mismatch in labeling the answer choices.

Would you like a detailed explanation of each part? Let me know if you have questions.

Follow-up Questions:

1. How do we calculate the area of a rectangle?
2. How does a net help in calculating the surface area of a prism?
3. Can you explain the relationship between surface area and volume?
4. What is the difference between surface area and lateral surface area?
5. How do we calculate the surface area of more complex shapes like pyramids or cylinders?

Tip:

Always break down a net into its simpler shapes (like rectangles or triangles) to make surface area calculations easier.