Solid Geometry

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Solid Geometry
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Student Expectations

• 7th Grade
• 7.3.6C Use properties to classify
  three-dimensional figures, including pyramids,
  cones, prisms, and cylinders.

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Three Dimensions

• Solid Geometry is the geometry of
  three-dimensional space
• It is called three-dimensional, or 3D because
  there are three dimensions width, depth and
  height.

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Polyhedron

• A geometric object with flat faces and straight
  edges.
• a polyhedron is a three - dimensional figure
  made up of sides called faces, each face being a
  polygon.

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Base

• The lowest part. The surface that a solid object
  stands on, or the bottom line of a shape such as
  a triangle or rectangle.

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Prism

• A solid object that has two identical ends and
  all flat sides.
• The cross section is the same all along its
  length.
• The shape of the ends give the prism a name, such
  as "triangular prism
• It is a polyhedron.

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Pyramid

• A solid object where The base is a polygon (a
  straight-sided shape) The sides are triangles
  which meet at the top (the apex).It is a
  polyhedron.

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Cylinder

• A cylinder is a solid object with two
  identical flat circular or elliptical ends and
  one curved side.

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Cone

• A solid
• (3-dimensional) object that has a circular base
  and one vertex

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Prisms Pyramids
Type Examples Properties
Triangular Prism ? 5 faces 2 triangular bases 3 rectangular faces ? 9 edges ? 6 vertices
Rectangular Prism 6 faces 2 rectangular bases 4 rectangular faces ? 12 edges ? 8 vertices
Cube ? 6 faces 2 square bases 4 square faces ? 12 edges ? 8 vertices
Square Pyramid ? 5 faces 1 square base 4 triangular faces ? 8 edges ? 5 vertices
Triangular Pyramid ? 4 faces 1 triangular base 3 triangular faces ? 6 edges ? 4 vertices
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Three Dimensional Figures with Curved
Surfaces
Type Example Properties
Cylinder ? 2 circular bases ? 1 curved surface
Cone ? 1 circular base ? 1 curved surface ? 1 vertex
Sphere ? 1 curved surface