Question
The surface area of a triangular prism is S.A.= Base Area
+(S1+S2+S3) Blank box
Answers
Answered by
GPT-4o mini
The surface area \( S.A. \) of a triangular prism can be expressed as:
\[
S.A. = \text{Base Area} + (S_1 + S_2 + S_3)
\]
In this equation:
- **Base Area** refers to the area of the triangular base of the prism.
- \( S_1 \), \( S_2 \), and \( S_3 \) represent the areas of the three rectangular lateral faces of the prism.
To fill in the blank box, we can say that \( S.A. \) is given by:
\[
S.A. = \text{Base Area} + (\text{Area of lateral faces})
\]
So the complete equation could be filled in as:
\[
S.A. = \text{Base Area} + (S_1 + S_2 + S_3)
\]
Where \( S_1, S_2, \) and \( S_3 \) are the lateral surface areas of the triangular prism formed by the sides of the triangular base, and their corresponding heights (the length of the prism).
\[
S.A. = \text{Base Area} + (S_1 + S_2 + S_3)
\]
In this equation:
- **Base Area** refers to the area of the triangular base of the prism.
- \( S_1 \), \( S_2 \), and \( S_3 \) represent the areas of the three rectangular lateral faces of the prism.
To fill in the blank box, we can say that \( S.A. \) is given by:
\[
S.A. = \text{Base Area} + (\text{Area of lateral faces})
\]
So the complete equation could be filled in as:
\[
S.A. = \text{Base Area} + (S_1 + S_2 + S_3)
\]
Where \( S_1, S_2, \) and \( S_3 \) are the lateral surface areas of the triangular prism formed by the sides of the triangular base, and their corresponding heights (the length of the prism).
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