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Total surface area of a Square Pyramid
TSA = a² + 2al
Where: TSA = Total surface area, a = side of the square base, l = slant height of a triangular face
Use the same units for all lengths (e.g. all in cm); areas come out in cm², volumes in cm³.
Solved example
Given: a = 7, l = 5
Find: TSA_ (Total surface area)
- Formula: TSA = a² + 2·a·l
- Substitute the values: TSA = 2·5·7 + 7²
- Result: TSA = 119
Answer: TSA_ = 119
Calculator
How to calculate Total surface area of a Square Pyramid
- Write down the formula: TSA = a² + 2al.
- Note the known values (a, l).
- 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 Square Pyramid?
The formula is TSA = a² + 2al, where TSA = Total surface area, a = side of the square base, l = slant height of a triangular face.
What is Total surface area of a Square Pyramid when a = 7, l = 5?
TSA_ = 119. Substitute the values into TSA = a² + 2al and simplify.