Question

follow the steps to find the surface area of the square pyramid. what is the total surface area? square base: 25 cm² triangles ×4: 90 cm² total sa: ?

Explanation:

Step1: Recall surface area formula

The total surface area (SA) of a square pyramid is the sum of the area of the square base and the area of the four triangular faces. So, \( \text{Total SA} = \text{Base Area} + \text{Area of 4 Triangles} \).

Step2: Substitute given values

We know the base area is \( 25 \, \text{cm}^2 \) and the area of the four triangles is \( 90 \, \text{cm}^2 \). Substituting these values into the formula: \( \text{Total SA} = 25 + 90 \).

Step3: Calculate the sum

\( 25 + 90 = 115 \).

Answer:

\( 115 \, \text{cm}^2 \)