Created by Mandy Plunkett Modified by Charlotte Stripling

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Presentation transcript:

Created by Mandy Plunkett Modified by Charlotte Stripling 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 … Rotating a rectangle or square, Translating a circle

How can you form a cylinder?

Cone A 3D figure with a circular base and a point opposite the base. Formed by … rotating a triangle, stacking similar circles (smaller and smaller until a point)

How can you form a cone?

Cube A rectangular prism with all edges the same length. Formed by … translating a square (its exact side length)

How can you form a cube?

Rectangular Prism A 3d figure that looks like a box. Formed by … translating a square or rectangle A 3d figure that looks like a box.

How can you form a rectangular prism?

Triangular Prism A prism whose bases are triangles. Formed by … translating a triangle

Hexagonal Prism Formed by … translating a hexagon

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 Pyramid Formed 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) To see all cross sections click on link. http://www.learner.org/courses/learningmath/geometry/session9/part_c/index.html 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)