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Exploring Geometric Solids. Created by Mandy Plunkett Modified by Charlotte Stripling. Plane Figures. Sphere. A 3D figure shaped like a ball. Formed by … rotating a circle. How can you form a sphere?. Cylinder. A 3D figure that looks like a tube with 2 circular bases. Formed by … - PowerPoint PPT Presentation
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Created by Mandy Plunkett
Modified by Charlotte Stripling
Plane Figures
Sphere
Formed by … rotating a circle
A 3D figure shaped like a ball.
How can you form a sphere?
Cylinder
Formed by …
Rotating a rectangle or square,
Translating a circle
A 3D figure that looks like a tube with 2 circular bases.
How can you form a cylinder?
Cone
Formed by … rotating a triangle, stacking similar circles (smaller and smaller until a point)
A 3D figure with a circular base and a point opposite the base.
How can you form a cone?
Cube
Formed by … translating a square (its exact side length)
A rectangular prism with all edges the same length.
How can you form a cube?
Rectangular Prism
Formed by … translating a square or rectangle
A 3d figure that looks like a box.
How can you form a rectangular prism?
Triangular Prism
Formed by … translating a triangle
A prism whose bases are triangles.
How can you form a pyramid?
• Stack similar figures – smaller and smaller up to a point.
• Similar triangles – triangular pyramid• Similar rectangles – rectangular pyramid• Similar squares – square pyramid• Similar pentagons – pentagonal pyramid• Similar hexagons – hexagonal pyramid
Square Pyramid
Formed by … stacking similar squares (smaller and smaller until a point)
Triangular PyramidFormed by … stacking similar triangles (smaller and smaller until a point)
Hexagonal Pyramid
Formed by … stacking similar hexagons (smaller and smaller until a point)
DEFINITIONS• Cross Section: the intersection of a
plane and a solid.
Formed by slicing through a 3D figure and looking at the inside 2D plane figure.
• Ellipse: an oval 2D figure.
Formed by slicing a 3D figure at an angle to its circular base (oblique).
What cross-sections can I make from a sphere?
• Circle (any direction)
What cross-sections can I make from a cube?
• Square (vertical or horizontal), triangle (corners), hexagon (oblique), pentagon (oblique), parallelogram (oblique), rectangle (diagonal)
http://www.learner.org/courses/learningmath/geometry/session9/part_c/index.html
To see all cross sections click on link.
http://www.learner.org/courses/learningmath/geometry/session9/part_c/index.html
What cross-sections can I make from a cylinder?
• Rectangle (vertical), Circle (horizontal), Ellipse (oblique)
What cross-sections can I make from a cone?
• Triangle (vertical), Circle (horizontal), Ellipse (oblique)
What cross-sections can I make from a rectangular prism?
• Rectangle (vertical or horizontal), Triangle (corners)
What cross-sections can I make from a square pyramid?
• Triangle (vertical), Square (horizontal), Trapezoid (vertical not through vertex)