This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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.
Step 2: Identify the number of edges of a cube.
A cube has 12 edges of equal length.
Step 3: Identify the number of vertices of a cube.
A cube has 8 vertices.
Step 4: Verify using Euler's formula for polyhedra.
Euler's formula: .
Substitute values:
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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ScanSolve AI Answer
Step 1: Identify the number of faces of a cube. A cube has 6 identical square faces. F = 6 Step 2: Identify the number of edges of a cube. A cube has 12 edges of equal length. E = 12 Step 3: Identify the number of vertices of a cube. A cube has 8 vertices. V = 8 Step 4: Verify using Euler's formula for polyhedra. Euler's formula: V - E + F = 2. Substitute values: 8 - 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