What is the formula for the surface area of a triangular prism?
The formula for the surface area of a triangular prism is:
Surface Area = 2(Area of the base) + (Perimeter of the base) x (Height of the prism)
where the area of the base can be calculated using the formula for the area of a triangle (1/2 x base x height) and the perimeter of the base can be calculated by adding the three sides of the triangle.
1. S. A. = bh+(S1+S2+S3 )⋅l
2. S. A. = 2(S1⋅S2)+2(S1⋅S3)+2(S2⋅S3)
3. S1⋅S2⋅S3
4. 1/3 (l⋅b)⋅h
The formulas you have provided are for the surface area of a triangular prism in different forms.
1. S. A. = bh + (S1 + S2 + S3) x l
This formula calculates the surface area of a triangular prism by adding the area of the two triangular bases (bh) and the lateral surface area, which is the sum of the areas of the three rectangles that form the sides of the prism (S1 + S2 + S3) multiplied by the height of the prism (l).
2. S. A. = 2(S1 x S2) + 2(S1 x S3) + 2(S2 x S3)
This formula calculates the surface area of a triangular prism by finding the area of each of the three pairs of faces of the prism and then summing them up.
3. S1 x S2 x S3
This formula calculates the surface area of a triangular prism by finding the product of the three side lengths of the base of the prism.
4. 1/3 x (l x b) x h
This formula calculates the surface area of a triangular prism by taking one-third of the product of the perimeter of the base (l x b) and the height (h) of the prism. This formula is another way to calculate the total surface area of a triangular prism.
Which one is right
All the formulas provided are correct for calculating the surface area of a triangular prism. The choice of which formula to use will depend on the information you have or the level of complexity you are comfortable with.
You can choose the formula that is most convenient for the given measurements of the triangular prism. It's good to be familiar with all the formulas so you can use the most appropriate one based on the available data.