7­4 3D figures.notebook
January 25, 2017
Daily Do from last class
1. Find the area of the composite figure
Homework Answers 7­3:
1. 81 m2 2. 200.5 yd2 3. 113 cm2 4. 21 ft2 5. 23.9 cm2 6. 264.5 in2 7. 292 m2 8. 231.9 m2 9. 81.8 km2 10. 204.5 ft2 11. 168 km2 Your Name
Mrs. T
1/ /17
Lesson 7­4
Notes
3D Figures
*lots of vocabulary :)
1
7­4 3D figures.notebook
January 25, 2017
Objective: To be able to identify different polyhedrons and their parts including bases, faces, vertices, and edges.
Virtue/Skill: We will use this vocabulary and identification to determine the formulas to use for volume. Plane­ a two dimensional flat surface that extends in all directions
*orange planes do not intersect
2
7­4 3D figures.notebook
January 25, 2017
Three dimensional shapes, 3D shapes, or solids.... polyhedron­ is a 3D solid with flat surfaces that are polygons
* most prisms and pyramids are polyhedrons
Solids that are NOT polyhedrons....
sphere,cones, and cylinders
3
7­4 3D figures.notebook
Face­ Edge­ January 25, 2017
a flat surface
where two planes intersect in a line
no edges
4
7­4 3D figures.notebook
Vertex­ January 25, 2017
where three or more planes intersect at a point
no vertex
Base­ Prisms have 2 of them . Pyramids have one of them.
*Prisms and pyramids are named by the shapes of the bases.
Types Has two bases ­ sides are rectangles of (unless its a cylinder)
Prisms:
Could call this a cube if you can tell that all sides are the same length
5
7­4 3D figures.notebook
Types of Pyramids:
January 25, 2017
Only one base: Sides are triangles
(unless its a cone)
Pentagonal Pyramid
Triangular Pyramid
5
Rectangular Pyramid
5
Square Pyramid
Cone
circular base
Name the solid.
How many faces does it have?
Name a face.
How many edges does it have?
Name an edge.
How many vertices does it have?
Name a vertex.
How many bases does it have?
Name the base or bases.
6
7­4 3D figures.notebook
January 25, 2017
Name the solid.
How many faces does it have?
Name a face.
How many edges does it have?
Name an edge.
How many vertices does it have?
Name a vertex.
How many bases does it have?
Name the base or bases.
*taking away the depth of an object really changes the view point
front view
side view
top view
7
7­4 3D figures.notebook
January 25, 2017
Views of 3D figures
chair
top
top
front
front
side
side
Depending on the view point we take on a object, we see a different shape.
Front
Side
Top
8
7­4 3D figures.notebook
January 25, 2017
If each unit represented 2 ft, how tall is the chair?
If each unit represented 20 feet, how long would the battleship be?
Summary
Objective: To be able to identify different polyhedrons and their parts including bases, faces, vertices, and edges.
Virtue/Skill: We will use this vocabulary and identification to determine the formulas to use for volume. Assignment: Workbook 11­1
9
7­4 3D figures.notebook
January 25, 2017
Exit Question
Name the solid.
How many faces does it have?
Name a face.
How many edges does it have?
Name an edge.
How many vertices does it have?
Name a vertex.
How many bases does it have?
Name the base or bases.
10