Difference between Cube and Cuboid
In mathematics, we learn about different shapes and figures such as cylinders, squares, cones, rectangles, and much more. Each of these shapes and figures has its own distinct properties and formulas that we use while solving questions related to geometry in mathematics. Two such figures  cube and cuboid are considered as similar but yet different in their properties. Let us see the definition, properties, and differences between cubes and cuboids.
Definition of a Cube
A cube is a 3D shape with six squareshaped faces that are all equal in size and has an angle of 90° between them. The cube has 6 faces, 12 edges, and 8 vertices where each vertex meets three faces and three edges. The opposite edges of a cube are equal and parallel to each other.
Below is an image of a cube for reference showcasing its edge, face, and vertex.
Definition of a Cuboid
A cuboid is a boxshaped 3D figure which has three pairs of rectangular faces attached opposite to each other. The cuboid contains six faces where the opposite faces are equal to each other. Additionally, out of these six faces, two can be squares. The other names for a cuboid are rectangular boxes, rectangular parallelepipeds, and right prisms. In a cuboid, any face can be at the bottom and the remaining four adjacent faces are called the lateral faces of a cuboid.
Below is an image of a cuboid for reference showcasing its height, breadth, and length.
Properties of a Cube and Cuboid
Listed below are the properties of both a cube and a cuboid. Both the shapes have a few similar properties but have many different properties as well.
Properties of a Cube  Properties of a Cuboid 
All faces are squareshaped  All faces are rectangleshaped 
All faces and edges are equal  Opposite faces and opposite edges are equal 
The angles are at right angles  The angles are at right angles 
Each of the faces meets the other adjacent four faces  Two faces meet at the edge 
The vertices meet three faces and three edges  The intersection of three faces is a vertex 
Difference between a Cube and Cuboid
A cube and a cuboid look very similar to each other in structure but both the shapes have their own properties based on edge, length, diagonals, and faces. The main difference between a cube and a cuboid is that a cube has six squareshaped faces of the same size but a cuboid has rectangular faces. Listed below are the differences between Cube vs Cuboid.
Cube  Cuboid 
A 3D shape of a square  A 3D shape of a rectangle 
The measurement of length, breadth, and height are equal i.e sides/edges are equal  The measurement of length, breadth, and height are not equal i.e. sides/edges are not equal 
In a cube, all the six faces are squares 
In a cuboid, all six faces are rectangles 
A cube as 12 diagonals in total with surface area measured the same  A cuboid has 12 diagonals in total where 3 diagonals are different in the measure 
In a cube, the 4 internal diagonals should have the same measure  In a cuboid, among the 4 internal diagonals, two pairs of the internal angles are of different measurement 
Rubik's cube, Dice, ice cube are a few examples  Bricks, lunch box, are a few examples of a cuboid 
Diagonal Formula = √3 × (side)  Diagonal formula = √(length^{2} + breadth^{2 }+ height^{2}) 
Volume Formula = (Side)^{3}  Volume Formula = length × breadth × height 
Related Topics on Difference between Cube and Cuboid
Solved Examples

Example 1: A cube is 15 cm long and a cuboid is 15 cm long, 10 cm wide and 13 cm high. Compare the volume of the cube and the cuboid.
Solution: The formula to find the volume of a cuboid is
Volume formula = length x breadth x height cubic units
= 15 x 10 x 13
Volume = 1950 cm^{3}
The formula to find the volume of a cube is Volume = (side)^{3} cubic units
Volume = (15)^{3} = 3375 cubic cm
Therefore, the volume of a cuboid is 1950 and the volume of a cube is 3375. The volume of the cube is much more than the volume of the cuboid.

Example 2: Find out the diagonal with the length = 10 cm, breadth = 18 cm and height = 20 cm
Solution: The formula for finding the diagonal of a cuboid is
Diagonal formula = √(length^{2} + breadth^{2} + height^{2})
= √(10^{2} + 18^{2} + 20^{2})
= √(100 + 324 + 400) = √824 = 28.7
Therefore, the diagonal of a cuboid is 28.7 cm

Example 3: If the volume of a room is 821 m³ and the area of the floor is 150 m², find the height of the room.
Solution: Volume of the room = 821 m³
Area of the floor (l × b) = 150 m²
Therefore, the height of the room = (Volume of the room)/(area of the floor) = 821/150 = 5.47m
FAQs on the Difference between Cube and Cuboid
What is the Main Difference between a Cube and a Cuboid?
A cube and a cuboid look very similar to each other in structure but both shapes have their own properties based on edge, length, diagonals, and faces. The main difference between a cube and a cuboid is that a cube has six squareshaped faces of the same size but a cuboid has rectangular faces. A cuboid is rectangularshaped and a cube is squareshaped.
Can Cubes also be Called Cuboids?
Cubes can be called special cuboids, as a cube is a 3D squareshaped figure with all sides i.e. length, breadth, and height equal to each other. The cube has 6 faces, 12 edges, and 8 vertices where each vertex meets three faces and three edges. The opposite edges of a cube are equal and parallel to each other. Whereas a cuboid is a 3D rectangular figure with all sides not equal to each other.
What Shape is a Cuboid?
A cuboid is a boxshaped 3D figure which has three pairs of rectangular faces attached opposite to each other. The cuboid contains six faces where the opposite faces are equal to each other. Additionally, out of these six faces, two can be squares. The other names for a cuboid are rectangular boxes, rectangular parallelepipeds, and right prisms. In a cuboid, any face can be at the bottom and the remaining four adjacent faces are called the lateral faces of a cuboid.
Can a Cube be Called a Square?
No, a square cannot be called a cube since the dimensions of both figures are different. A square is a 2D figure with length and breadth whereas a cube is a 3D figure with length, breadth, and height. A square has four sides and four vertices whereas a cube have 12 sides and 8 vertices.
Can a Cuboid have Two Square Faces?
A cuboid is a 3D rectangularshaped figure with six rectangular faces where all the faces are either parallel or perpendicular to each other. A figure with six square faces is a cube but a figure with two square faces and four rectangular faces is known as a square cuboid.
What are the Properties of a Cube and a Cuboid?
The properties of a cube and cuboid are:
 Both are 3D squareshaped figures and rectangularshaped figures respectively
 The faces and edges of a cube are equal whereas opposite faces and edges are equal to each other in a rectangle
 The angles of both a cube and cuboid are at right angles
 In a cube and the cuboid,each of the 8 vertices meets three faces and three edges.