This appears to be a problem involving the surface area of a pyramid. Based on the image, it seems the pyramid has a square base, and the slant height (the arrow labeled as 10 cm) is provided.

To calculate the surface area of a pyramid, we need to find the area of the base and the areas of the triangular faces.

Step 1: Area of the base

The base is a square. The side length of the square is 10 cm (as shown). So, the area of the base is:

$\text{Area of base} = s^2 = 10^2 = 100 \, \text{cm}^2$

Step 2: Area of one triangular face

Each triangular face has a base of 10 cm (the side length of the square) and a slant height of 10 cm. The area of one triangle is given by:

$\text{Area of one triangle} = \frac{1}{2} \times \text{base} \times \text{slant height} = \frac{1}{2} \times 10 \times 10 = 50 \, \text{cm}^2$

Step 3: Area of all triangular faces

There are four triangular faces on the pyramid, so the total area of all triangular faces is:

$\text{Total area of triangles} = 4 \times 50 = 200 \, \text{cm}^2$

Step 4: Total surface area

Finally, the total surface area of the pyramid is the sum of the area of the base and the total area of the triangular faces:

$\text{Total surface area} = 100 + 200 = 300 \, \text{cm}^2$

So, the surface area of the pyramid is 300 cm².

Let me know if you'd like more details or further explanations!

Related Questions:

1. How do you calculate the surface area of a pyramid with a triangular base?
2. What is the difference between slant height and vertical height in a pyramid?
3. How does the surface area of a pyramid change with different base shapes?
4. What is the formula for the surface area of a cone, which is a similar shape to a pyramid?
5. How can you determine the slant height of a pyramid from the vertical height?

Tip:

Remember to always check if the slant height is given, as it is crucial for finding the area of the triangular faces. If it’s not given, you may need to use the Pythagorean theorem to find it.