Pls verify Eulers formula on cube and cuboid with an example
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Answered by
2
Answer:
Euler's formula for solids ⇒ Faces+ Vertices− Edges =2
The given solid in the image is a Cuboid
∴ Faces of the cuboid =6
Vertices=8
Edges =12
putting these values in Euler's formula ⇒6+8−12=2
Hence, Verified.
Answered by
6
Explanation:
Formula of Cube :
V - E + F = 2; or, in words: the number of vertices, minus the number of edges, plus the number of faces, is equal to two. ... V - E + F = 12 - 30 + 20 = 32 - 30 = 2, as we expected. Euler's formula is true for the cube and the icosahedron.
Formula of Cuboid :
By Euler's formula the numbers of faces F, of vertices V, and of edges E of any convex polyhedron are related by the formula F + V = E + 2. In the case of a cuboid this gives 6 + 8 = 12 + 2; that is, like a cube, a cuboid has 6 faces, 8 vertices, and 12 edges.
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