Answer:
27 m²
Explanation:
The surface area of a square pyramid comprises:
- one square
- 4 congruent triangles
Area of a square = x² (where x is the side length)
Area of a triangle = 1/2 × base × height
Given:
- slant height = height of triangle = 3 m
- side length = x = base of triangle = 3 m
Surface area = area of square + 4 × area of triangle
= 3² + 4(1/2 × 3 × 3)
= 9 + 4(9/2)
= 9 + 18
= 27 m²