Solve for the surface area of the triangular prism.

Answer 1

To find the surface area of a triangular prism, you need to calculate the areas of all the individual faces and add them up.

A triangular prism has 5 faces: 2 triangular bases and 3 rectangular faces.

Let's say the base of the triangular prism has a base of 6 units and height of 4 units, and the length of the prism is 8 units.

1. The area of the two triangular bases can be calculated using the formula for the area of a triangle: 1/2 * base * height.
Area of one base = 1/2 * 6 * 4 = 12 square units
Total area of both bases = 2 * 12 = 24 square units

2. The area of the three rectangular faces can be calculated by multiplying the length by the height.
Area of one rectangular face = 6 * 8 = 48 square units
Total area of all three rectangular faces = 3 * 48 = 144 square units

3. Add the areas of all the faces together to find the total surface area of the triangular prism.
Total surface area = 24 + 144 = 168 square units

Therefore, the surface area of the triangular prism is 168 square units.