What is the formula for the surface area of a triangular prism? (2 points) Responses S. A. = bh+(S1+S2+S3 )⋅l S. A. = bh+(S1+S2+S3 )⋅l S. A. = 2(S1⋅S2)+2(S1⋅S3)+2(S2⋅S3) S. A. = 2(S1⋅S2)+2(S1⋅S3)+2(S2⋅S3) S. A. = S1⋅S2⋅S3 S. A. = S1⋅S2⋅S3 S. A. = 13(l⋅b)⋅h S. A. = 13(l⋅b)⋅h

1 answer

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

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

Where:

  • \( b \) is the base of the triangle,
  • \( h \) is the height of the triangular base,
  • \( S_1, S_2, \) and \( S_3 \) are the lengths of the sides of the triangular base, and
  • \( l \) is the length (or height) of the prism.

So, the correct response from the options you provided is:

S. A. = bh + (S1 + S2 + S3)⋅l.