Math, asked by sarvathirupathi, 1 month ago

verify the euler formula for cube and cuboid​

Answers

Answered by ashwinibadgujar7382
0

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.

Answered by kanishkhandelwal
2

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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