Answer:
85 cm²
Step-by-step explanation:
The base is a square with side length 5 cm. The area of this base is
A = s² = (5 cm)² = 25 cm².
If the slant height of each lateral face of the pyramid is 6 cm, then we can find the area of each such face using the area-of-a-triangle formula,
A = (1/2)(base)(height), which here is
A = (1/2)(5 cm)(6 cm) = 15 cm² per lateral side.
The total area of these sides is 4(15 cm²) = 60 cm².
Then the total surface area of the pyramid is A = 60 cm² + 25 cm² = 85 cm².
