Question

justify Euler theorem far cubic
figure.​

Answer 1

Step-by-step explanation:

It is written F + V = E + 2, where F is the number of faces, V the number of vertices, and E the number of edges. A cube, for example, has 6 faces, 8 vertices, and 12 edges, and satisfies this formula

♥

Answer 2

Answer:

Euler's Formula

For any polyhedron that doesn't intersect itself, the

Number of Faces

plus the Number of Vertices (corner points)

minus the Number of Edges

always equals 2

This can be written: F + V − E = 2

hexahedron

Try it on the cube:

A cube has 6 Faces, 8 Vertices, and 12 Edges,

so:

6 + 8 − 12 = 2

Example With Platonic Solids

Let's try with the 5 Platonic Solids:

Name Faces Vertices Edges F+V-E

Tetrahedron Tetrahedron 4 4 6 2

Cube Cube 6 8 12 2

Octahedron Octahedron 8 6 12 2

Dodecahedron Dodecahedron 12 20 30 2

Icosahedron Icosahedron 20 12 30