Question

follow the steps to find the surface area of the square pyramid. what is the total surface area? square base: 64 cm² triangles ×4: 224 cm² total sa: ?

Explanation:

Step1: Recall surface area formula for square pyramid

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, \( SA = \text{Base Area} + \text{Area of 4 Triangles} \).

Step2: Substitute the given values

We know the base area is \( 64 \, \text{cm}^2 \) and the area of the four triangles is \( 224 \, \text{cm}^2 \). Substituting these into the formula: \( SA = 64 + 224 \).

Step3: Calculate the sum

\( 64 + 224 = 288 \).

Answer:

The total surface area of the square pyramid is \( 288 \, \text{cm}^2 \).