MATH CALCULATOR
Slant Height Calculator
Calculate the slant height of various geometric shapes with ease using our online calculator.
What is the Slant Height Calculator & How does it work?
The slant height is the length of the line segment from the top vertex to any point on the base of a three-dimensional shape. It is commonly used in calculations involving cones, pyramids, and other similar structures.
For a pyramid with a square base, the slant height can be calculated using the formula: l = sqrt{left(frac{s}{2}right)^2 + h^2}, where s is the side length of the base and h is the height of the pyramid.
l = sqrt{r^2 + h^2}
l = slant height, r = radius of the base, h = height of the shape
For a pyramid with a square base, the slant height can be calculated using the formula: l = sqrt{left(frac{s}{2}right)^2 + h^2}, where s is the side length of the base and h is the height of the pyramid.
Parameters
Result—
Frequently Asked Questions
How do I calculate the slant height of a cone?
Use the formula l = √(r² + h²), where r is the radius of the base and h is the height of the cone.
What is the slant height of a pyramid with a square base?
Calculate it using l = √((s/2)² + h²), where s is the side length of the base and h is the height of the pyramid.
Can I use this calculator for any three-dimensional shape?
This calculator is primarily designed for cones and pyramids. For other shapes, you may need to adjust the formula accordingly.
What does slant height represent in a three-dimensional shape?
Slant height is the length of the line segment from the top vertex to any point on the base of the shape.
How do I find the radius if I know the slant height and height of a cone?
Rearrange the formula to solve for r: r = √(l² - h²).
Results are for informational purposes only and do not constitute professional advice.