Surface Areas of Surface Areas of Pyramids Pyramids Section 11.7
Jan 17, 2016
Surface Areas of Surface Areas of PyramidsPyramids
Section 11.7
Find the Surface Area…
Find the surface area of a cylinder with a diameter of 10cm and a height of 15cm.
Pyramid
Pyramid – A three dimensional figure in which one face, the base, is any polygon and the lateral faces are triangles that meet at a common vertex.
vertex
The altitude of a pyramid is the perpendicular segment from the vertex to the plane of the base.
The length of the altitude is called the height.
Height
h
Pyramid
Regular Pyramid – a pyramid whose base is a regular polygon.
Slant Height – the length of the altitude of the lateral face.
Slant Height
Pyramid
Lateral Area and Surface Area of a Regular Pyramid
PL2
1
Lateral Area
Base Perimeter
Slant Height
BLS Surface
AreaLateral Area
Base Area
B
Find the surface area of a square pyramid with base edges 5 m and slant height 3 m.
m 3
m 5
SURFACE AREA OF CONESSection 11.3b
A cone has a circular base and a vertex that is not in the same plane as a base.
In a right cone, the height meets the base at its center.
The height of a cone is the perpendicular distance between the vertex and the base.
The slant height of a cone is the distance between the vertex and a point on the base edge.
Height
Lateral Surface
The vertex is directly above the center of the circle.
Baser
Slant Height
r
r
Find the surface area of the cone to the nearest tenth.
4 in.
6 in.