Optimization of Selected 2-Dimensional Steel Truss Shapes ...
Warm-up Friday 2-24-11 Write down some differences between 2-dimensional and 3-dimension shapes....
-
Upload
paulina-hopkins -
Category
Documents
-
view
217 -
download
0
Transcript of Warm-up Friday 2-24-11 Write down some differences between 2-dimensional and 3-dimension shapes....
Warm-up Friday 2-24-11• Write down some differences between
2-dimensional and 3-dimension shapes. Name at least 3 dimensional shapes
Split LevelHead over Heals
Right beside me
Ice Cube
Forgive and Forget
Try to Understand
Three Blind Mice
Solid Figures
M6G2: Students will further develop their understanding of solid figures
E.Q. What are the basic solid figures, and what are their properties?
Plane FiguresTwo-dimensional Shapes (2D)
• These shapes are flat and have no depth.
• They have two dimensions – length and width.
“Solids”Three-dimensional Shapes (3D)
• These shapes are also called “solids”
• They have three dimensions – length, width and height (or depth).
Cube• A three-dimensional
shape which has 6 square faces all the same size.
Some faces parallel
Some edges parallel
Some faces perpendicular
Some edges perpendicular
Rectangular Prism• A three-dimensional
shape which has 6 rectangular faces.
Some faces parallel
Some edges parallel
Some faces perpendicular
Some edges perpendicular
Cylinder• A three-dimensional
shape with circular ends of equal size.
Some faces parallel
Some edges parallel
Some faces perpendicular
No edges perpendicular
Cone• A three dimensional
shape with a circle at its base and a pointed vertex.
No perpendicular faces or edges
No parallel faces or edges
Square base pyramid
No faces perpendicular
Some edges perpendicular
No faces parallel
Some edges parallel
Pyramid• A three-dimensional
shape which has a polygon for its base and triangular faces which meet at one vertex.
•E.g. Triangular pyramid• Square pyramid• Hexagonal pyramid• Pentagonal pyramid
CONEa three-dimensional geometric shape that tapers smoothly from a flat, usually circular base to a point called the apex or vertex
Volume of Pyramids and Cones
Sphere• A perfectly round
three-dimensional shape, like a ball. It has only one curved face.
No perpendicular faces or edges
No parallel faces or edges
Rectangular Prism
A rectangular prism is a space figure with six faces, eight vertices, and opposite
sides parallel.
Hemisphere• A three-dimensional
shape that is half a sphere.
No parallel faces or edges
No perpendicular faces or edges
Perpendicular• A line that is drawn in
a right angle to another line .
• In solid shapes edges could be at a right angle to one another.
• Faces could also be at right angles to one another.