Shape of cube

Mathematics

ScanSolve AI Answer

Answer

6 faces, 12 edges, 8 vertices

Step 1: Identify the number of faces of a cube.
A cube has 6 identical square faces.
F=6F = 6

Step 2: Identify the number of edges of a cube.
A cube has 12 edges of equal length.
E=12E = 12

Step 3: Identify the number of vertices of a cube.
A cube has 8 vertices.
V=8V = 8

Step 4: Verify using Euler's formula for polyhedra.
Euler's formula: VE+F=2V - E + F = 2.
Substitute values:
812+6=28 - 12 + 6 = 2
The formula holds true.

A cube is a Platonic solid with 6 square faces, 12 equal edges, and 8 vertices.
6 faces, 12 edges, 8 vertices

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