11-1 Exploring 3D figures I. Polyhedra – solids with all flat surfaces that are not open
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
11-1 Exploring 3D figures
I. Polyhedra – solids with all flat surfaces that are not open
SPHERE
CYLINDER
CONEPYRAMID
CUBE
PRISM
II. Prisms A polyhedron with two
congruent faces that are polygons contained in parallel lines
Parts of a prism
FACE
Faces — The flat surfaces of a solid object.
EDGE
Edges — the line segments where the faces intersect
BASEThe two congruent faces of a prism
LATERAL
FACE
The other faces of the prism which
connect the two bases.
LATERAL EDGES
Platonic Solids
III. Regular Polyhedra
All of its faces are shaped like congruent regular polygons
IV. Slices
V. Examples
1. Draw a top, left, front, and right view of this model.
2. Identify the solid. Name its bases, faces, edges, and vertices.
3. Identify the polyhedra. Name its bases, faces, edges, and vertices.
4. Miranda has a piece of foam that is shaped like a cone. She wants to make a decorative centerpiece for a table using the cone. However, she does not want the centerpiece to have a point, but wants the top of the centerpiece to be an oval shape. How should she cut the cone to get an oval top?
11-3 Surface Area Prism and Cylinder
I. Prisms Oblique: Tilted at an angle; neither vertical
nor horizontal
Right: altitude is the height
II. Types of right prisms
RECTANGULAR
HEXAGONAL
TRIANGULAR
III. RIGHT PRISM PARTS
IV. VARIABLES USED FOR PRISMS
B- BASE L- LATERAL AREA P- PERIMETER OF BASE H- HEIGHT OF PRISM
Lateral Area of a Right Prism
LA = P * H
V. FORMULAS
Surface Area of Right prism
SA = P * H + 2 B
Examples:
1. Find the L and SA of a right triangular prism with a height of 10 inches and a right triangular base with legs of 10 and 12 inches.
VI. Cylinders
2 BASES ARE
CIRCLES
HEIGHT
RADIUS
LA = 2 R H
Surface area of a cylinder
Example 2. Find the Lateral Area and the Surface Area.
11-4 Surface area Pyramids and Cones
BASE
FACE
HEIGHT
EDGES
SLANT
HEIGHT
S A = ½ * P * L + B
CONE
BASE IS A CIRCLE
HEIGHT
RADIUS
SLANT
HEIGHT
Related Documents
