what is the surface area of the net of the triangular prism?
Length A- 10cm
Length B- 5cm
Length C- 5cm
Length D- 5cm
Length E- 4cm
To find the surface area of the net of the triangular prism, we first need to calculate the area of each individual face and then add them together.
1. The two triangular faces:
Area of a triangle = 1/2 * base * height
Area of triangle ABC = 1/2 * 5 cm * 10 cm = 25 cm²
Area of triangle ADE = 1/2 * 4 cm * 5 cm = 10 cm²
2. The three rectangular faces:
Area of a rectangle = length * width
Area of rectangle BCDE = 5 cm * 4 cm = 20 cm²
Area of rectangle ABFE = 5 cm * 4 cm = 20 cm²
Area of rectangle ACDF = 5 cm * 10 cm = 50 cm²
Now, add all the areas together:
Total surface area = 25 cm² + 10 cm² + 20 cm² + 20 cm² + 50 cm²
Total surface area = 125 cm²
Therefore, the surface area of the net of the triangular prism is 125 cm².