Parts of a Pyramid
What shape is the base of a regular pyramid?
Regular Polygon
What is the lateral area of a pyramid?
The area of all lateral faces combined
What is the equation for total surface area of a pyramid?
Lateral Surface area + area of the base
Where do all lateral faces meet?
Vertex
What is the equation for the Lateral Surface Area of a pyramid using method 1?
Area of one lateral face * n (number of sides)
1/3 area of base * vertical height
Ex: Lateral edges are congruent
What is the equation for lateral area of a pyramid using method 2?
(Perimeter of base * lateral slant)/2
What is the total surface area of a pyramid with a lateral area of 40 with a square as the base and a base edge of 5?
25 + 40 = 65
What is the difference between the altitude and the lateral slant of a pyramid?
The altitude goes from the vertex to the center of the base while the lateral slant goes from the base edge to the vertex
Solve for the Lateral Area of a pyramid with a base edge of 5 and lateral slant of 6 and a square as the base?
60
Find the total surface area of a pyramid with a base edge of 6 and lateral slant of 10 with an equilateral triangle as the base?
90 + 18 root 3
What is the height of a lateral face called?
Slant height of the pyramid
Solve for the number of sides of a pyramid with a lateral slant of 10 and base edge of 5 and a lateral surface area of 125?
5 sides
What is the volume for a pyramid with a vertical height of 10 and a base edge of 3
10