Fill in the blanks to complete the formula for the surface area of a triangular prism. (1 point)

The surface area of a triangular prism is S.A.=....
+(S1+S2+S3)

1 answer

The surface area of a triangular prism can be expressed with the formula:

\[ S.A. = \text{base area} + (S_1 + S_2 + S_3) \]

Here, "base area" refers to the area of one triangular base of the prism, and \( S_1, S_2, \) and \( S_3 \) are the areas of the three rectangular lateral faces of the prism.

To be more specific, if \( A \) is the area of the triangular base, the formula would be:

\[ S.A. = A + (S_1 + S_2 + S_3) \]

If you need the specific terms for the areas of the rectangular faces, you can assign dimensions accordingly based on the corresponding sides of the triangle and the height (or length) of the prism.