Write a formula for the surface area of a triangular prism. The total surface area of a triangular prism is the sum of the areas of all its faces: the three lateral faces (rectangles) and two bases (triangles). The most general formula for the surface area of any prism is: Total area = Lateral area + 2 × Base area. can you show your work and wrote it like a 7th grader wrote it.
To find the surface area of a triangular prism, you first need to add up the areas of all the faces. A triangular prism has 3 rectangular lateral faces and 2 triangle bases.
The formula for the surface area of a triangular prism is:
Total area = Lateral area + 2 x Base area
To find the lateral area, you need to multiply the perimeter of the base triangle by the height of the prism. The formula for lateral area is:
Lateral area = perimeter of base triangle x height
To find the base area, you need to use the formula for the area of a triangle, which is:
Base area = 0.5 x base x height
Once you have found the lateral area and base area, you can plug them into the total area formula to find the surface area of the triangular prism.