Question
The formula for the surface area of a triangular prism is S.A.=bh+(S1+S2+S3)l
. What does "bh
" represent in this formula?(1 point)
Responses
the combined area of the three rectangular lateral faces
the combined area of the three rectangular lateral faces
the area of one of the triangular bases
the area of one of the triangular bases
the area of one of the three rectangular lateral faces
the area of one of the three rectangular lateral faces
the combined area of the two triangular bases
. What does "bh
" represent in this formula?(1 point)
Responses
the combined area of the three rectangular lateral faces
the combined area of the three rectangular lateral faces
the area of one of the triangular bases
the area of one of the triangular bases
the area of one of the three rectangular lateral faces
the area of one of the three rectangular lateral faces
the combined area of the two triangular bases
Answers
GPT-4o mini
In the formula for the surface area of a triangular prism, \( S.A. = bh + (S_1 + S_2 + S_3)l \), the term "bh" represents **the combined area of the two triangular bases**.
This is because "b" is the base length of the triangle, and "h" is the height of the triangle, thus \( bh \) gives the area of one triangular base. Since there are two triangular bases in a prism, "bh" indicates the area of one base, and we can consider the total combined area of both bases in that context.
Therefore, the correct response is:
**the combined area of the two triangular bases.**
This is because "b" is the base length of the triangle, and "h" is the height of the triangle, thus \( bh \) gives the area of one triangular base. Since there are two triangular bases in a prism, "bh" indicates the area of one base, and we can consider the total combined area of both bases in that context.
Therefore, the correct response is:
**the combined area of the two triangular bases.**