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Total surface area of a Triangular Prism
TSA = (a + b + c) × L + b × h
Where: L = length of the prism, TSA = Total surface area, a = a, b = base of the triangle, c = c, h = height of the triangle
Use the same units for all lengths (e.g. all in cm); areas come out in cm², volumes in cm³.
Solved example
Given: L = 7, a = 5, b = 10, c = 4, h = 3
Find: TSA_ (Total surface area)
- Formula: TSA = L·(a + b + c) + b·h
- Substitute the values: TSA = 10·3 + 7·(10 + 4 + 5)
- Result: TSA = 163
Answer: TSA_ = 163
Calculator
How to calculate Total surface area of a Triangular Prism
- Write down the formula: TSA = (a + b + c) × L + b × h.
- Note the known values (L, a, b, c, h).
- Substitute them and simplify to find TSA_.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Total surface area of a Triangular Prism?
The formula is TSA = (a + b + c) × L + b × h, where L = length of the prism, TSA = Total surface area, a = a, b = base of the triangle, c = c, h = height of the triangle.
What is Total surface area of a Triangular Prism when L = 7, a = 5, b = 10, c = 4, h = 3?
TSA_ = 163. Substitute the values into TSA = (a + b + c) × L + b × h and simplify.