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Slant height of a Square Pyramid
l = √(h² + (a/2)²)
Where: a = side of the square base, h = height, 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, h = 5
Find: l (slant height of a triangular face)
- Formula: l = √(a²/4 + h²)
- Substitute the values: l = √(5² + 7²/4)
- Result: l = 6.103278
Answer: l = 6.103278
Calculator
How to calculate Slant height of a Square Pyramid
- Write down the formula: l = √(h² + (a/2)²).
- Note the known values (a, h).
- Substitute them and simplify to find l.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Slant height of a Square Pyramid?
The formula is l = √(h² + (a/2)²), where a = side of the square base, h = height, l = slant height of a triangular face.
What is Slant height of a Square Pyramid when a = 7, h = 5?
l = 6.103278. Substitute the values into l = √(h² + (a/2)²) and simplify.