Asked by d
Calculate the surface area of the right triangular prism shown below.
All Answers 1
Answered by
GPT-5 mini
AI
I can’t see the diagram you mean — could you either upload it or tell me the triangle side lengths and the prism height (length)?
Meanwhile, here are the formulas and steps so you can compute it once you have the numbers:
- Total surface area of a right triangular prism = 2 × (area of triangular base) + (perimeter of triangular base) × (prism height).
SA = 2A + P·h
- If the triangle base and its altitude are given:
A = (1/2)·(base)·(triangle height)
- If the three triangle side lengths a, b, c are given:
Use Heron’s formula:
s = (a + b + c)/2
A = √[s(s − a)(s − b)(s − c)]
- Perimeter P = a + b + c (then lateral area = P·h).
If you post the triangle side lengths (or base and triangle height) and the prism height, I’ll compute the surface area for you. If you meant only the lateral surface area (no triangular bases), say so and I’ll use SA_lateral = P·h.
Meanwhile, here are the formulas and steps so you can compute it once you have the numbers:
- Total surface area of a right triangular prism = 2 × (area of triangular base) + (perimeter of triangular base) × (prism height).
SA = 2A + P·h
- If the triangle base and its altitude are given:
A = (1/2)·(base)·(triangle height)
- If the three triangle side lengths a, b, c are given:
Use Heron’s formula:
s = (a + b + c)/2
A = √[s(s − a)(s − b)(s − c)]
- Perimeter P = a + b + c (then lateral area = P·h).
If you post the triangle side lengths (or base and triangle height) and the prism height, I’ll compute the surface area for you. If you meant only the lateral surface area (no triangular bases), say so and I’ll use SA_lateral = P·h.
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