1. 12.3 – Surface Area of Pyramids and Cones

2. Pyramid:
A polyhedron with one base

3. Lateral Face:
The faces of the solid, not including the base

4. Height:
The perpendicular distance from the vertex to the base
Slant Height:
The height of one of the lateral faces

5. Regular Pyramid:
A pyramid with a regular polygon as a base

6. Cone:
One circular base

7. Surface Area of a Regular Pyramid:
B is the area of the base
P is the perimeter of the base

8. Surface Area of a Right Cone:

9. 1. Find the lateral area of each lateral face of the regular pyramid
1. Find the lateral area of each lateral face of the regular pyramid. Then find the surface area of the pyramid.
B = s2
P =
B =
(9)2
P = 36
B = 81

10. Find the lateral area of the regular shape.

11. Find the surface area of the regular shape.
B = s2
P =
B =
(4)2
P = 16
B = 16

12. Find the surface area of the regular shape.
(10)(5)
P = 50

13. Find the surface area of the regular shape.

14. 6.The surface area of the right cone is 400πm². Find the value of x.
-64π π
8π π
8 m