Octahedron Platonic

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Octahedron Platonic
Help!?? Maths question!! plz? problem solving. geometry???! thx!?

How do you do this? i have tried and i still cant figure it out!

PROBLEM:

A company that produces individual 2 dimensional geometric shapes for the production of the 5 platonic polyhedra has a request from a school to provide enough material to produce 5 hexahedra, 5 tetahedra, 5 octahedra, 6 dodecahedra and 7 isosahedra.

1) How many of each individual shape do they require to prodice the requested number of polyhedra?

please explain how you did it in steps. !! thanks for your help!! :D

Hi,

Each hexahedron (cube) is made of 6 squares.

Each tetrahedron is made of 4 triangles.

Each octahedron is made of 8 triangles.

Each dodecahedron is made of 12 pentagons.

Each icosahedron (cube) is made of 20 triangles.

So, 5 hexahedra, 5 tetahedra, 5 octahedra, 6 dodecahedra and 7 isosahedra would need:

5 hexahedra 5 x 6 squares = 30 squares
5 tetahedra 5 x 4 triangles = 20 triangles
5 octahedra 5 x 8 triangles = 40 triangles
6 dodecahedra 6 x 12 pentagons = 72 pentagons
7 isosahedra 7 x 20 triangles = 140 triangles

In total they need 30 squares, 200 triangles, and 72 pentagons. <==ANSWER

I hope that helps!!

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admin posted at 2010-3-9 Category: Uncategorized

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