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This image contains a math problem related to surface area calculations of prisms. I'll extract the two main shapes from the image and walk through their solution steps.

### Shape (a) - Trapezoidal Prism:
We need to calculate:
1. **Base area (G)**: The base appears to be a trapezoid, so we use the trapezoid area formula \( G = \frac{1}{2} \cdot (a + b) \cdot h \) where \( a = 5 \, \text{cm}, b = 8 \, \text{cm}, \) and \( h = 6 \, \text{cm} \).
2. **Lateral surface area (M)**: The lateral surface area \( M = u \cdot h_k \), where \( u \) is the perimeter of the trapezoid, and \( h_k = 9.4 \, \text{cm} \) is the height of the prism.

### Shape (b) - Rectangular Prism:
We calculate:
1. **Base area (G)**: The base is a rectangle, so we use \( G = a \cdot b \), where \( a = 6 \, \text{cm}, b = 4 \, \text{cm} \).
2. **Lateral surface area (M)**: Again, \( M = u \cdot h_k \), where \( u \) is the perimeter of the base and \( h_k = 5.2 \, \text{cm} \).

I will now calculate these values for both prisms.Here are the results for both prisms:

### Shape (a) - Trapezoidal Prism:
- **Base area (G)** = 39 cm²
- **Lateral surface area (M)** = 225.6 cm²

### Shape (b) - Rectangular Prism:
- **Base area (G)** = 24 cm²
- **Lateral surface area (M)** = 104 cm²

Would you like me to proceed with calculating the total surface areas or any other details? Let me know if you have questions!

Here are 5 related questions to deepen your understanding:
1. How do you calculate the total surface area of these prisms?
2. How does the shape of the base affect the surface area?
3. What formula would you use if the base of a prism was a triangle?
4. How would increasing the height of the prism affect the lateral surface area?
5. Can you find the volume of each prism using the base area?

**Tip:** Always check that the perimeter formula is adapted to the specific base shape when calculating lateral surface area.

Calculate the base area and lateral surface area for both prisms, then find the total surface area.

Learn how to calculate the base area, lateral surface area, and total surface area of trapezoidal and rectangular prisms with step-by-step solutions. This problem covers essential geometry concepts suitable for students in Grades 7-9.

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