Q:

The net of a square pyramid is shown:

Accepted Solution

A:
Answer:The surface area of the pyramid is 0.6625 inches²Step-by-step 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