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Answer:
16 m².
Step-by-step explanation:
Find the surface area by finding the areas of each face:
The base is a square, so use the formula A = s²
A = 2²
A = 4 m².
Find the areas of the congruent triangular lateral sides. Use the formula:
A = 1/2 (bh)
A = 1/2 (2 · 3)
A = 1/2 (6)
A = 3 m².
There are 4 triangular faces, therefore:
3 × 4 = 12 m².
Add up the areas from the triangles and square base:
12 + 4 = 16 m².
Therefore, the surface area of this square pyramid is 16 m².
