The slant Height of a regular Pyramid with a lateral area of 160 units² and a perimeter of the base of 40 units is 8 units.
<h2>Further Explanation; </h2><h3>Regular Pyramid</h3>
- A regular Pyramid is a pyramid whose base is a regular polygon and has equal lateral edges.
- Therefore, lateral faces of a regular pyramid are congruent isosceles triangle.
- Slant height of the regular pyramid is equivalent to the altitude of the lateral isosceles triangles.
<h3>Lateral Area of a regular Pyramid</h3>
- The Lateral Area of a regular pyramid is given by the equation.

Where LA is the lateral area, P is the base perimeter and l is the slant height
In our question;
We are given;
Lateral area = 160 units²
Base perimeter = 40 units
We can use the formula to get the slant height, l.
Substituting the value of LA and P in the formula

Therefore the slant height of the regular Pyramid is 8 units.
Keywords: Regular pyramid, lateral area, base perimeter, slant height.
<h3>Learn more about:</h3>
Level: High school
Subject: Mathematics
Topic: Surface Area of solids
Sub-topic: Surface area of regular Pyramid