Answer:
132 cm squared
Step-by-step explanation:
To calculate the surface area of the square pyramid, you need to find the area of the base and the area of each triangular face, and then add them together.
1. **Area of the Base (Square):**
The base is a square with side length 6 cm. The formula for the area of a square is side squared
So, the area of the base is 6 x 6 = 36cm2
2. **Area of Each Triangular Face:**
Each triangular face is an isosceles triangle with base equal to the side length of the square base (6 cm) and slant height of 8 cm. The formula for the area of a triangle is half base x height divided by 2
So, the area of each triangular face is 1/2 x 6 x 8 =24.
3. **Total Surface Area:**
The total surface area is the sum of the area of the base and the area of all four triangular faces.
Total surface area ( = {Area of Base} + 4 times {Area of Each Triangular Face} )
Substituting the values we calculated:
total surface area = 132 cm2
So, the surface area of the square pyramid is 132cm2
