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.
Further Explanation;
Regular Pyramid
- 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.
Lateral Area of a regular Pyramid
- The Lateral Area of a regular pyramid is given by the equation.
[tex]LA=\frac{1}{2}Pl[/tex]
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
[tex]160= \frac{1}{2}940)l\\160 = 20 l\\l = 160/20\\l = 8 units[/tex]
Therefore the slant height of the regular Pyramid is 8 units.
Keywords: Regular pyramid, lateral area, base perimeter, slant height.
Learn more about:
- Regular Pyramid:https://brainly.com/question/10081142
- Lateral area of a regular pyramid: https://brainly.com/question/10081142
- Example: https://brainly.com/question/10081142
Level: High school
Subject: Mathematics
Topic: Surface Area of solids
Sub-topic: Surface area of regular Pyramid
