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CAT 2025 » CAT Study Material » Data Interpretation and Logical Reasoning » Cube and Cuboid: Definition
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Cube and Cuboid: Definition

While reading this article you may grasp the concept of cube and cuboid. Here we also discussed topics like cube definition and so on.

Table of Content
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We notice various items in our daily lives, such as notebooks, matchboxes, instrumental geometry boxes, cones, cricket balls, cylinders, and so on. All of these things are three-dimensional (solid shapes). All of these objects have three dimensions: length, breadth, height, and depth.

Furthermore, we frequently come across shapes that have two or more identical (congruent) faces. The Cube, for example, has squared faces on each side, but the Cuboid has rectangular faces. A three-dimensional form having six faces, eight vertices, and twelve edges is known as a Cube or Cuboid. A cube has the same length, width, and height on all sides, whereas a cuboid has different lengths, widths, and heights. Although both shapes appear to be almost identical, they have distinct qualities.

Cube and Cuboid are Two Different Things

We learn about cylinders, squares, cones, rectangles, and many more shapes and figures in mathematics. Each of these forms and figures has its own set of attributes and formulae that we utilise while solving geometry problems in math. The cube and the cuboid are two such figures that are similar yet have different features. Let’s look at cubes and cuboids’ definitions, qualities, and distinctions.

A Cube’s Definition

A cube is a three-dimensional form having six square-shaped faces that are all the same size and have a 90-degree angle between them. Each vertex meets three faces and three edges of the cube, which has six faces, twelve edges, and eight vertices. A cube’s opposite edges are equal and parallel to one another.

An image of a cube with its edge, face, and vertex is shown below.

A Cuboid’s Definition

A cuboid is a three-dimensional box with three pairs of rectangular faces linked to each other. The shape has six faces, each with an equal number of opposite faces. Furthermore, two of these six faces can be squares. Rectangular boxes, rectangular parallelepipeds, and right prisms are alternate names for cuboids. Any face can be at the bottom of a cuboid, and the remaining four neighbouring faces are known as the cuboid’s lateral faces.

For reference, here’s a cuboid that shows its height, breadth, and length.

Cube and Cuboid Characteristics

The qualities of a cube and a cuboid are listed below. Both shapes have a few comparable features, but they also have a lot of differences.

Properties of cube

Properties of cuboid

All of the faces are square.

All of the faces are rectangular.

Every face and edge is the same.

Faces and edges on opposite sides are equal.

The angles are exactly right.

The angles are exactly right.

Conclusion

We notice various items in our daily lives, such as notebooks, matchboxes, instrumental geometry boxes, cones, cricket balls, cylinders, and so on. All of these things are three-dimensional (solid shapes). All of these objects have three dimensions: length, breadth, height, and depth.

Furthermore, we frequently come across shapes that have two or more identical (congruent) faces. The Cube, for example, has squared faces on each side, but the Cuboid has rectangular faces. A three-dimensional form having six faces, eight vertices, and twelve edges is known as a Cube or Cuboid. A cube has the same length, width, and height on all sides, whereas a cuboid has different lengths, widths, and heights.

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Frequently asked questions

Get answers to the most common queries related to the CAT Examination Preparation.

What is the primary distinction between a cube and a cuboid?

Ans. Although the structure of a cube and a cuboid are extremely similar, eac...Read full

What is a Cuboid's Shape?

Ans. A cuboid is a three-dimensional box with three pairs of rectangular faces linked to each other. The cuboid has ...Read full

Is it Possible to Call a Cube a Square?

Ans. Because the dimensions of both figures are different, a square cannot be termed a cube. A cube is a 3D shape wi...Read full

Can a Cuboid have Two Square Faces but why?

Ans. A Cuboid with two square faces is possible. A cuboid is a three-di...Read full

What is the Difference Between a Cube and a Cuboid?

Ans. A cube and a cuboid have the following properties: ...Read full

Ans. Although the structure of a cube and a cuboid are extremely similar, each form has its unique set of attributes based on edge, length, diagonals, and faces. The major distinction between a cube and a cuboid is that a cube has six identical square-shaped faces, whereas a cuboid has rectangular faces. A cube is square in shape, while a cuboid is rectangular.

Cubes can also be referred to as Cuboids.

Cubes are called exceptional cuboids because they are 3D square-shaped figures with equal length, breadth, and height on all sides. Each vertex meets three faces and three edges of the cube, which has six faces, twelve edges, and eight vertices. A cube’s opposite edges are equal and parallel to one another. A cuboid, on the other hand, is a 3D rectangular figure with all edges not equal.

Ans. A cuboid is a three-dimensional box with three pairs of rectangular faces linked to each other. The cuboid has six faces, each of which is equal to the opposing face.

 

Ans. Because the dimensions of both figures are different, a square cannot be termed a cube. A cube is a 3D shape with length, breadth, and height, whereas a square is a 2D figure with length and breadth. A cube has 12 sides and 8 vertices, whereas a square has four sides and four vertices.

Ans. A Cuboid with two square faces is possible.

A cuboid is a three-dimensional rectangular figure having six rectangular faces that are all parallel or perpendicular to each other.

Ans. A cube and a cuboid have the following properties:

Both are three-dimensional square-shaped and rectangular-shaped figures.

A cube’s faces and edges are equal, whereas in a rectangle, opposite faces and edges are equal.

Both a cube and a cuboid have right-angle angles.

Each of the eight vertices in a cube and the cuboid encounters three faces and three edges.

= 6 × 82

= 6 × 64

= 384 cm2

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