Answer:
The surface area of the pyramid is 0.6625 inches²
Explanation:
* Lets explain how to find the surface area of the square pyramid
- The square pyramid has 5 faces
- A square base
- Four triangular faces
- Its surface area is the sum of the areas of the five faces
- Area of the square = L × L , where L is the length of its sides
- Area of the triangle = 1/2 × b × h , where b is the length of its base
and h is the length of its height
∵ The length of the side of the square is 0.25 inches
∴ Area of the base = 0.25 × 0.25 = 0.0625 inches²
∵ The length of the base of the triangle is 0.25 inches and the length
of its height is 1.2 inches
∴ The area of its triangular face = 1/2 × 0.25 × 1.2 = 0.15 inches²
∵ The surface area of the pyramid = the sum of the areas of the 5 faces
∵ The area of the four triangular faces are equal
∴ The surface area = 0.0625 + (4 × 0.15) = 0.0625 + 0.6
∴ The surface area = 0.6625 inches²
* The surface area of the pyramid is 0.6625 inches²