Geometric Classification: Analyzing the Cube-Cuboid Relationship in 3D Shapes

Question

Given the cube

Is each cube an cuboid?

Step-by-Step Solution

To determine if each cube is a cuboid, we start by defining both shapes.

  • A cuboid is a three-dimensional geometric figure with six faces that are rectangles. All angles are right angles, and opposite faces are equal.
  • A cube is a special type of cuboid where all six faces are squares of equal size, meaning all sides (edges) of the cube are of equal length.

Since a cube meets all the criteria of a cuboid (having six rectangular, or in this case square, faces, with all angles being right angles), a cube can indeed be classified as a cuboid.
In mathematical terms, a cube is a specific case of a cuboid where the length, width, and height are all the same.

Therefore, the answer to the question “Is each cube a cuboid?” is Yes.

Answer

Yes


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