U8 L7 Intro to Solids and Surface Area.notebook
DO NOW!Name as many of the 3D Figures as you can!
• Identify prisms, pyramids, cones & cylinders• Cross Sections
Intro to 3Dimensional Solids
U8 L7 Intro to Solids and Surface Area.notebook
These 3 are prisms
Cone PyramidCylinder
3D Shapes
a) How many vertices are there in the polyhedron to the right? List them.
b) How may edges are there? List them.
c) How may faces are there? List them.
U8 L7 Intro to Solids and Surface Area.notebook
Definitions: A prism a polyhedron with exactly 2 , parallel faces, called bases. Other faces are called lateral faces.
A prism is named by the shape of its bases. Name the prisms below.
An altitude of a prism is a perpendicular segment that joins the planes of the bases. The height is the length of the altitude.
(Not aligned properly)
U8 L7 Intro to Solids and Surface Area.notebook
The surface area is found by adding the areas of each all faces.
Triangular Prism and its net.
A net is a twodimensional pattern of a threedimensional figure that can be folded to form the figure.
What is this a net of?
U8 L7 Intro to Solids and Surface Area.notebook
You may want to use a net.
Find the Surface Area for the following triangular prism
U8 L7 Intro to Solids and Surface Area.notebook
Find the surface area.
U8 L7 Intro to Solids and Surface Area.notebook
Surface Area and Lateral Area of Cylinders
Link for "unrolling"
To find the area of the curved surface of a cylinder, imagine "unrolling"it.
The surface area of the cylinder is the sum of the area of the rectangle & the area of the 2 circular bases.
Surface Area of a Cylinder
SA = 2πrh+(πr2) x 2
Area of rectangle
A = (2πr)(h)
U8 L7 Intro to Solids and Surface Area.notebook
The radius of the base of cylinder is 4 in. & its height is 6 in. Find the surface area of the cylinder in terms of π.
Find the surface area of a cylinder with height 10cm and radius 10 cm in terms of π.
Do NOW!
Homework
U6 L7 Surface Area
Online