Answer:
81 in²
Explanation:
The 3-dimensional shape given is a square pyramid having a square base, and 4 right triangular side faces that are the same.
The surface area can be calculated by finding the area of the square base and the area of the 4 triangular side faces. Then sum all the areas together.
Or, we can use the following formula below: Base Area + ½(Perimeter of base) × Slant Length
Where,
Base area = s² = 5² = 25 in²
Perimeter of base = 4(s) = 4(5) = 20 in
Slant height = 5.6 in
Surface area = 25 + ½(20) × 5.6
= 25 + 10 × 5.6
= 25 + 56
Surface area = 81 in²