Answer:
Step-by-step explanation:
The net has a rectangle at the center. The area of the rectangle is expressed as
Area = length × width
Area of the rectangle = 10 × 4 = 40 inches²
The formula for determining the area of each triangular face is expressed as
Area = 1/2 × base × height
The area of each face of the triangle that has a base of 10 inches and a height of 5 inches is
Area = 1/2 × 10 × 5 = 25 inches²
The surface area of the rectangular pyramid is
Area of rectangle at the center + area of the four triangular faces
Therefore,
The surface area of the rectangular pyramid =
40 + 2(25) + 2(13.6) = 117.2 inches²
