Question

find the surface area of this square pyramid. surface area of a pyramid la = 2bl sa = la + b sa = ? m²

Explanation:

Step1: Calculate the lateral area (LA)

Using the formula \( LA = 2bl \), where \( b = 5\) m (base length) and \( l = 5\) m (slant height).
\( LA=2\times5\times5 = 50\) \(m^{2}\)

Step2: Calculate the base area (B)

The base is a square with side length \( s = 5\) m. Using the formula \( B=s^{2}\).
\( B = 5^{2}=25\) \(m^{2}\)

Step3: Calculate the surface area (SA)

Using the formula \( SA=LA + B\).
\( SA=50 + 25=75\) \(m^{2}\)

Answer:

\(75\)