The image you uploaded seems to be related to calculating the total surface area of a square pyramid. I can see a diagram where the base length of the pyramid is 8 inches and the height of the triangular face is labeled as $q$ inches. The surface area formulas used for this calculation are written in the image:

1. The formula for the area of a triangle (slant face): $A = \frac{1}{2} \times b \times h$, where $b$ is the base of the triangle (which could be the side of the square base of the pyramid), and $h$ is the height (which could be the slant height, $q$).

2. The total surface area involves adding the area of the base and the four triangular faces.

To calculate the total surface area of the pyramid, we need:

• The area of the square base: $A_{\text{base}} = \text{side}^2$.
• The area of the four triangular faces: $A_{\text{triangular faces}} = 4 \times \frac{1}{2} \times \text{side} \times \text{slant height}$.

Now, if you want to calculate the total surface area, we need to know the value of $q$. If you have that value, we can proceed with the calculation.

Would you like to proceed with the calculation? If you have any further questions or need additional details, let me know! Here are some related questions you might find helpful:

1. How do you calculate the area of a triangle in the context of surface area?
2. What is the difference between the height of the pyramid and the slant height?
3. How do you calculate the surface area of a pyramid with a non-square base?
4. What are other examples of 3D shapes where surface area is important?
5. How do you use the Pythagorean theorem to find the slant height of a pyramid?

Tip: Always make sure to distinguish between the actual height of the pyramid and the slant height when calculating surface areas or volumes.