Surface area and nets
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Surface Area and Nets. Polyhedron. Polyhedron: a 3-dimensional object, or solid, whose faces are polygons. Polyhedron. Parts of Polyhedrons. Face: a flat surface on a solid Edge: segments joining faces together Vertex: corner; the point where 3 or more faces meet. Prism.

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Polyhedron
Polyhedron

  • Polyhedron: a 3-dimensional object, or solid, whose faces are polygons



Parts of polyhedrons
Parts of Polyhedrons

  • Face: a flat surface on a solid

  • Edge: segments joining faces together

  • Vertex: corner; the point where 3 or more faces meet


Prism
Prism

  • Prism: a polyhedron whose bases are congruent and parallel

  • Prisms are named for the shape of their bases.


Pyramid
Pyramid

  • Pyramid: a polyhedron that has a polygonal base but comes to a point


Pyramid1
Pyramid

  • Pyramids are named after the shape of their base


Nets

  • Net: a flat figure that can be folded to form a closed three-dimensional object (solid).

  • We can use nets to help figure out the surface area of a solid shape

  • http://www.learner.org/interactives/geometry/area_surface.html


Nets

  • Rectangular Prism


Nets

  • Triangular Prism


Nets

  • Square Pyramid


Surface area
Surface Area

  • Surface Area: the sum of the areas of all the faces of a 3D figure

  • To find the surface area of any shape, you can follow the process described below:

    • Draw a net of the polyhedron.

    • Calculate the area of each face.

    • Add up the area of all the faces.


Sources
Sources

  • Most of the information and some of the pictures on these slides comes from mathisfun.com

  • Some information comes from the textbook: Middle School Math by Scott Foresman—Addison Wesley Course 2, 1998

  • Some drawings come from various locations on the web


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