Question

find the surface area of the square pyramid.
finally, combine the areas to find the total.
area of the 4 triangles: 280 cm²
area of the square: 100 cm²
total area: ? cm²

Explanation:

Step1: Recall the formula for the surface area of a square pyramid

The surface area \(S\) of a square pyramid is the sum of the area of the base (square) and the area of the lateral faces (4 triangles). So, \(S=\text{Area of square}+\text{Area of 4 triangles}\).

Step2: Substitute the given values

We are given that the area of the 4 triangles is \(280\,\text{cm}^2\) and the area of the square is \(100\,\text{cm}^2\).
Substitute these values into the formula: \(S = 280+100\).

Answer:

\(380\)