Created by Mandy Plunkett

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Exploring Geometric Solids

• Created by Mandy Plunkett
• Modified by Charlotte Stripling

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Plane Figures
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Sphere
A 3D figure shaped like a ball.
Formed by rotating a circle
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How can you form a sphere?
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Cylinder
A 3D figure that looks like a tube with 2
circular bases.
Formed by Rotating a rectangle or square,
Translating a circle
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How can you form a cylinder?
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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)
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How can you form a cone?
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Cube
A rectangular prism with all edges the same
length.
Formed by translating a square (its exact side
length)
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How can you form a cube?
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Rectangular Prism
Formed by translating a square or rectangle
A 3d figure that looks like a box.
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How can you form a rectangular prism?
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Triangular Prism
A prism whose bases are triangles.    
Formed by translating a triangle
                  
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Hexagonal Prism
Formed by translating a hexagon
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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

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Square Pyramid
Formed by stacking similar squares (smaller and
smaller until a point)
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Triangular Pyramid
Formed by stacking similar triangles (smaller
and smaller until a point)
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Hexagonal Pyramid
Formed by stacking similar hexagons (smaller
and smaller until a point)
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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).

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What cross-sections can I make from a sphere?

• Circle (any direction)

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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/geomet
ry/session9/part_c/index.html
http//www.learner.org/courses/learningmath/geomet
ry/session9/part_c/index.html
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What cross-sections can I make from a cylinder?

• Rectangle (vertical), Circle (horizontal),
  Ellipse (oblique)

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What cross-sections can I make from a cone?

• Triangle (vertical), Circle (horizontal), Ellipse
  (oblique)

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What cross-sections can I make from a rectangular
prism?

• Rectangle (vertical or horizontal), Triangle
  (corners)

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What cross-sections can I make from a square
pyramid?

• Triangle (vertical), Square (horizontal),
  Trapezoid (vertical not through vertex)