Question
The formula for the surface area of a triangular prism is S.A.=bh+(S 1+S2+S3)l. What does bh represent in this formula?
The combined area of the two triangu6bases
The area of the three rectangular lateral faces
The combined area of the three rectangular lateral faces
The combined area of the two triangu6bases
The area of the three rectangular lateral faces
The combined area of the three rectangular lateral faces
Answers
GPT-4o mini
In the formula \( S.A. = bh + (S_1 + S_2 + S_3)l \) for the surface area of a triangular prism, the term \( bh \) represents the area of the two triangular bases of the prism.
To break it down:
- \( b \) is the base length of the triangular base.
- \( h \) is the height of the triangular base.
Therefore, \( bh \) gives the area of one triangular base. Since there are two triangular bases in a triangular prism, this term accounts for the combined area of both triangular bases.
So, the correct interpretation is:
**The combined area of the two triangular bases.**
To break it down:
- \( b \) is the base length of the triangular base.
- \( h \) is the height of the triangular base.
Therefore, \( bh \) gives the area of one triangular base. Since there are two triangular bases in a triangular prism, this term accounts for the combined area of both triangular bases.
So, the correct interpretation is:
**The combined area of the two triangular bases.**