A net of a rectangular pyramid is shown. What is the surface area, in square meters, of the rectangular pyramid? (1 point) m2

Answer 1

To calculate the surface area of a rectangular pyramid, we need to find the area of the four triangular faces and the rectangular base.

Let's assume the dimensions of the rectangular base are length (l) = 4m and width (w) = 3m. Let the height of the pyramid be h = 5m.

1. Area of the rectangular base = l * w = 4m * 3m = 12m²

2. To find the area of one triangular face, we can use the formula: Area = 1/2 * base * height

For the triangular face with base = 4m and height = 5m:
Area = 1/2 * 4m * 5m = 10m²

3. Since there are 4 triangular faces in a rectangular pyramid, the total area of the triangular faces = 4 * 10m² = 40m²

4. Finally, the total surface area of the rectangular pyramid is the sum of the areas of the rectangular base and the triangular faces:
Total Surface Area = Area of base + Area of triangular faces
Total Surface Area = 12m² + 40m²
Total Surface Area = 52m²

Therefore, the surface area of the rectangular pyramid is 52 square meters.