Thursday, May 8, 2014

Cubic Net

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Here we have a the net of a cube. A net is defined as “any set of polygons joined edge to edge that, when folded along the edges between adjoining polygons so that the outer edges touch, form a polyhedron” (Wiktionary). It is clear that each side of the square is a length of 5 units. It is also much easier to see that a cube has six faces, and therefore easier to calculate the surface area of the cube:
5 x 2 x 6 = 150 square units.


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Here is the folding process.



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Here is the finished product: the cube. It is easier to see how to calculate the volume of the cube now, as it is 3-Dimensional now as opposed to 2-Dimensional. 53 = 125 cubic units.

Square Area of the Cube: 150 square units.
Volume of the Cube: 125 cubic units.

~JC1

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