To find the slant height of a figure, we typically refer to a cone or a pyramid. In the case of a cone, the slant height is the distance from the base of the cone up to the apex along the surface of the cone. For a pyramid, it is the distance from the midpoint of a side of the base to the apex.
The formula to calculate the slant height (l) of a cone is:
- l = √(r² + h²)
Where:
- r = radius of the base of the cone
- h = height of the cone
For a pyramid, the slant height (l) can be calculated as:
- l = √( (b/2)² + h²)
Where:
- b = length of the base
- h = height of the pyramid
Once you have the necessary measurements, simply plug the values into the appropriate formula to find the slant height.