Question

Find the surface area of a triangular pyramid represent ted by the given net

Answer 1

To find the surface area of a triangular pyramid represented by a given net, we first need to calculate the area of each individual face and then sum them all up.

In a triangular pyramid, there are 4 faces - one triangular base and three triangular lateral faces.

Let's say the dimensions of the triangles in the net are as follows:
- Base triangle: base = 6 units, height = 4 units
- Lateral triangles: base = 4 units, height = 6 units

1. Area of the base triangle:
Area = (1/2) * base * height
Area = (1/2) * 6 * 4
Area = 12 square units

2. Area of one lateral triangle:
Area = (1/2) * base * height
Area = (1/2) * 4 * 6
Area = 12 square units

3. Total area of all three lateral triangles:
Total lateral area = 3 * Area of one lateral triangle
Total lateral area = 3 * 12
Total lateral area = 36 square units

4. Total surface area of the triangular pyramid:
Total surface area = Area of base + Total lateral area
Total surface area = 12 + 36
Total surface area = 48 square units

Therefore, the surface area of the triangular pyramid represented by the given net is 48 square units.