verify the euler formula for cube and cuboid
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Answer:
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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Step-by-step explanation:
Euler's formula for solids ⇒ Faces+ Vertices− Edges =2
Now, for Cuboid
∴ Faces of the cuboid =6
Vertices=8
Edges =12
putting these values in Euler's formula ⇒6+8−12=2
Similarly, For Cube
Faces of the cuboid =6
Vertices=8
Edges =12
putting these values in Euler's formula ⇒6+8−12=2
Hence, Verified.
hope it helps you...
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