Question

Verify Euler’s formula for a cuboid.​

Answer 1

Answer:

General cuboids. By Euler's formulathe numbers of faces F, of vertices V, and of edges E of any convex polyhedron are related by the formulaF + V = E + 2. In the case of a cuboidthis gives 6 + 8 = 12 + 2; that is, like a cube, a cuboid has 6 faces, 8 vertices, and 12 edges.

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Answer 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.

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