Question

find the surface area of this square pyramid. 6 cm 3 cm surface area of a pyramid la = 2bl sa = la + b sa = ? cm²

Explanation:

Step1: Calculate the lateral area (LA)

Use the formula \(LA = 2bl\). Here, \(b = 3\) cm (base length) and \(l = 6\) cm (slant height).

$$ LA=2\times3\times6 = 36\text{ cm}^2 $$

Step2: Calculate the base area (B)

The base is a square with side length \(b = 3\) cm. The area of a square is \(B=b^2\).

$$ B = 3^2=9\text{ cm}^2 $$

Step3: Calculate the surface area (SA)

Use the formula \(SA=LA + B\).

$$ SA=36 + 9=45\text{ cm}^2 $$

Answer:

\(45\)