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The net of a square pyramid is shown below. What is the surface area of the square pyramid?

To find the surface area of the square pyramid, we need to calculate the area of its base and its four triangular faces.

### Step-by-step Solution:

1. **Calculate the Base Area:**
   - The base of the square pyramid is a square with side length given as 2 feet.
   - **Area of the base (square)** = \( \text{side}^2 = 2^2 = 4 \, \text{ft}^2 \).

2. **Calculate the Area of One Triangular Face:**
   - Each triangular face has a base of 2 feet (same as the side of the square base).
   - The height of each triangle (slant height) is given as 3 feet.
   - **Area of a triangle** = \( \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 2 \times 3 = 3 \, \text{ft}^2 \).

3. **Calculate the Surface Area of the Four Triangular Faces:**
   - Since the pyramid has four identical triangular faces, the total area of these triangles is:
   - \( 4 \times 3 = 12 \, \text{ft}^2 \).

4. **Total Surface Area:**
   - The total surface area of the square pyramid is the sum of the base area and the area of the four triangles:
   - \( 4 \, \text{ft}^2 + 12 \, \text{ft}^2 = 16 \, \text{ft}^2 \).

So, the surface area of the square pyramid is:

\[
\boxed{16 \, \text{ft}^2}
\]

Would you like more details or have any questions?

### Related Questions:
1. How do you find the surface area of a triangular pyramid?
2. How would the surface area change if the slant height increased?
3. What is the formula for the volume of a square pyramid?
4. How do you determine the slant height if only the vertical height is given?
5. Can you derive the formula for the lateral surface area of a pyramid?

**Tip:** When calculating surface areas of 3D shapes, always break the shape into smaller 2D shapes and sum their areas.

Learn how to calculate the surface area of a square pyramid using its net. This problem involves finding the area of a square base and four triangular faces. Suitable for Grades 7-9 students, it covers essential geometric concepts and formulas.

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