how to solve the surface area of a triangular prism

Answer 1

To find the surface area of a triangular prism, you will need to calculate the area of each individual face of the prism and then sum them all up.

1. Calculate the area of the triangular bases:
- Find the base of the triangle by measuring the length of one of the sides of the triangle.
- Find the height of the triangle by measuring the length of the altitude from the base to the opposite vertex.
- Use the formula for the area of a triangle: 0.5 x base x height to find the area of one triangular base.
- Multiply this by 2 to find the total area of both triangular bases.

2. Calculate the area of the three rectangular faces:
- The height of the triangular prism will be the height of the triangle between the two bases.
- The length of the rectangular faces will be the same as the base of the triangular faces.
- Use the formula for the area of a rectangle: length x width to find the area of each rectangular face.
- Multiply this by 3 to find the total area of all three rectangular faces.

3. Sum up the areas of all the faces to find the total surface area of the triangular prism.

Surface Area = Area of Bases + Area of Rectangular Faces

Make sure to pay attention to the units of measurement and round your answer to the appropriate number of significant figures.