Question

use the net for the square pyramid to find the surface area. 5 cm 9 cm 5 cm

Explanation:

Step1: Calculate the area of the square base

The area of a square is \(A = s^2\), where \(s = 5\) cm. So, \(A_{base}=5\times5 = 25\) \(cm^2\).

Step2: Calculate the area of one triangular face

The area of a triangle is \(A=\frac{1}{2}bh\), where \(b = 5\) cm and \(h = 9\) cm. So, \(A_{triangle}=\frac{1}{2}\times5\times9=\frac{45}{2}= 22.5\) \(cm^2\).

Step3: Calculate the total area of the four triangular faces

Since there are 4 triangular faces, \(A_{triangles}=4\times22.5 = 90\) \(cm^2\).

Step4: Calculate the total surface area

The total surface area \(A = A_{base}+A_{triangles}\). So, \(A=25 + 90=115\) \(cm^2\).

Answer:

\(115\) \(cm^2\)