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Study Guide · Maths

All Six Faces of a Cube Are Equal Squares

A cube is a three-dimensional (3D) solid object in geometry. It is one of the five Platonic solids and is highly symmetrical. The most defining characteristic of a cube lies in its faces.

Question (Click to Flip)

How many faces meet at each vertex of a cube?

Answer

Exactly three faces meet at each vertex (corner) of a cube.

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Key Facts

A standard playing die is a perfect example of a cube.

A cube is a special type of rectangular prism (cuboid) where all sides are equal.

The diagonal of a cube can be calculated as a√3.

The Property of the Faces

The statement is: All six faces of a cube are identical squares.

Because every face is a square, every face has the exact same area, and every single edge (side) of the cube is of the exact same length. The angles between any two intersecting faces are always exactly 90 degrees (right angles).

Other Key Properties of a Cube

  • Faces: It has exactly 6 square faces.
  • Edges: It has exactly 12 edges of equal length.
  • Vertices: It has exactly 8 vertices (corners).
  • Surface Area: The formula for the total surface area is $6a^2$ (where 'a' is the length of one edge).
  • Volume: The formula for the volume is $a^3$.

Questions and Answers

How many faces meet at each vertex of a cube?+

Exactly three faces meet at each vertex (corner) of a cube.

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