# maths

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A cubiod is cut into two triangular prisms by a single cut. Each of the resulting solids has
How many faces?
How many edges?
How many vertices?

• maths -

A cuboid is like a box, so it has f = 6 faces, v = 8 vertices (corners) and e = 12 edges.
You can verify the answer by putting the numbers in the Euler formula:
v + f = e + 2
or
8 + 6 = 12 + 2
14 = 14 (so the answers are probably correct)

Here's a link to the shape of a triangular prism, from which you can deduce the number of faces, edges, and vertices.

• maths -

http://mathworld.wolfram.com/TriangularPrism.html

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