Transcript Solids - missrennie

Bell Work

Find the area of the following shapes
R = 5 cm

Equilateral triangle
Side length = 12 cm
Side length = 12 cm
If the area of the trapezoid is 40 cm2,
what is the length of the longer base?
6 cm
5 cm
Solids
Prisms – on page 162, so don’t copy this slide
A right prism has
 2 parallel and congruent polygons called
the bases.
 Has rectangular lateral faces that are
perpendicular with the bases.
 The lateral edges are parallel, congruent
and perpendicular to the bases.
Vertex (where edges meet)
base
edge
Lateral face
edge
Lateral face
Cube




How
How
How
How
many
many
many
many
lateral faces:
edges:
vertices:
bases:
Hexagonal
based prism
The number of lateral faces is the same number as the
sides of the base.
The length of the lateral faces is equal to the perimeter
of the base.
Pyramids
apex
Height
(inside)
Apothem or slant height (outside)
base
Pyramids: (Page 163 – don’t copy)
 Have only 1 base
 Have an apex at the top
 Lateral sides are made of triangles
 Height is on the inside from the center of
the base to the apex
 Slant height is on the outside from the
apex to the center of one side of the base
 The number of lateral triangles is equal to
the number of sides on the base
 Pythagoras will be used frequently to
solve problems
CYLINDERS
BASE
RECTANGULAR
LATERAL FACE
BASE
HEIGHT
OF THE
CYLINDER
THIS EDGE =
CIRCUMFERENCE OF
THE CIRCULAR BASE
CYLINDERS (pg 163, don’t write)
• 2 BASES THAT ARE CIRCLES
• THE CIRCUMFERENCE OF THE CIRCLE IS
EQUAL TO THE WIDTH OF THE LATERAL
FACE
•THE BASES ARE PARALLEL TO EACH
OTHER
CONES
apex
Apothem (outside)
“slant height”
Height (inside)
Base is a circle
Cones
• have only 1 base
• the curved surface is called the lateral
surface
• the height is inside
• the slant height is on the outside.
• the net of the cone is made up of a
sector of a circle and a circle
The edge of the sector = circumference of
circle
Sphere
From the radius, every point on
the surface is equidistant
There is no net…it requires 2
separate pieces to create a
sphere.
A sphere has no base
Work Due FRIDAY
(you will get a bit more
Thursday, so DON’T leave it all
until next class to complete!)
PAGE 161 ACTIVITY #1 – DESCRIBING A SOLID
PAGE 162 ACTIVITY #2
PAGE 163 #1 AT BOTTOM
PAGE 164 #2 (4 and 5 if not already done)
PAGE 165 ACTIVITY #1
PAGE 166 #1,2(D DRAW A 3D PICTURE OF THE CONE)
ACTIVITY #3
PAGE 167 #3
PAGE 169 #1, 2