Lateral Area of a Cube Formula
A cube is a threedimensional shape that is made up of 6 congruent square faces. All the 6 square faces of the cube are of the same sizes. A cube is referred to as
 a regular hexahedron (as it has 6 congruent faces)
 a square prism (as its top and bottom faces are squares)
Also, a cube is one of the 5 platonic solids. Some reallife examples of a cube are a Rubik's cube, a dice (whose faces are squares), an ice cube, etc. Let us learn what is lateral area of a cube along with the formula, a few solved examples, and practice questions here.
1.  What Is the Formula for Lateral Area of a Cube? 
2.  How to Find the Lateral Area of a Cube? 
3.  Lateral Area of a Cube with Diagonal 
4.  FAQs 
What Is the Formula for Lateral Area of a Cube?
"Lateral" means "which belongs to the side". So, the lateral area of a cube is the sum of areas of all side faces of the cube. Can you guess how many side faces a cube has? Yes, there are 4 side faces (because there are 6 faces in total, among which if we remove the top and the bottom faces, and thus there are only 4 side faces). So the sum of areas of all 4 side faces of a cube is its lateral area. The lateral area of a cube is also known as its lateral surface area (LSA). Since it is the area, it is measured in square units.
How to Find the Lateral Area of a Cube?
Let us consider a cube of edge length 'x'. As each of its faces is a square, the area of each face = x^{2} square units. Thus,
The lateral surface area (LSA) of the cube
= sum of areas of all 4 side faces
= x^{2} + x^{2} + x^{2} + x^{2} = 4x^{2}
Thus, the formula to find the lateral area of a cube is, LSA = 4x^{2}.
We can understand this formula better using the net of the cube.
Lateral Area of a Cube with Diagonal
Sometimes, we are not given the edge length of the cube, instead, we are given the length of space diagonal and are asked to find the lateral area. In this case, we need to recall the relationship between the edge length (x) and the space diagonal (d) of a cube. We have
d = x √3 ⇒ x = d / √3
Substituting this in the formula of the lateral surface area of the cube,
LSA = 4x^{2 }= 4 (d / √3)^{2} = 4d^{2} / 3
Thus, the LSA of a cube when its diagonal (d) is given = 4d^{2} / 3.
Solved Examples on Lateral Area of a Cube

We learned that the lateral area of a cube of edge length 'x' is 4x^{2 }and the lateral area of a cube of space diagonal 'd' is 4d^{2} / 3. Let us solve a few examples using these formulas.
Example 1:
What is the lateral surface area (LSA) of a Rubik's cube of side length 4 inches?
Solution:
The side length of the Rubik's cube is, x = 4 inches.
The LSA of the cube = 4x^{2} = 4 (4^{2}) = 64 square inches.
Thus, the lateral surface area of the given Rubik's cube is 64 square inches.

Example 2:
The space diagonal of an ice cube is 5√3 units. Find its lateral area.
Solution:
Method 1
Let us assume that the edge length of the ice cube is x.
The space diagonal of the ice cube = 5√3 units.
x √3 = 5 √3
x = 5
The LSA of the cube = 4x^{2} = 4 (5^{2}) = 100 square units.
Method 2
The space diagonal of the ice cube, d = 5√3 units.
The LSA of the cube in terms of space diagonal = 4d^{2} / 3 = 4 (5√3)^{2} / 3 = 300 / 3 = 100 square units.
Therefore, the lateral area of the ice cube = 100 square inches.
FAQs on Lateral Area of a Cube
1. Why Is a Cube Called a Regular Hexahedron?
A regular hexahedron is a threedimensional object with 6 congruent faces. Thus, a cube is called a regular hexahedron.
2. What Is the Formula for the Lateral Area of a Cube?
The lateral area of a cube of edge length 'x' is 4x^{2} square units.
3. How Do You Find the Lateral Area of a Cube?
The lateral area of a cube of edge length 'x' can be obtained by adding the areas of 4 side faces. Thus, the lateral area of the cube = x^{2} + x^{2} + x^{2} + x^{2} = 4x^{2}.
4. What Is the Difference Between the Surface Area and Lateral Area of a Cube?
The surface area (or) total surface area (TSA) of a cube is the sum of areas of all faces whereas the lateral surface area (LSA) is only the sum of the 4 side faces of the cube. If x is the edge length of the cube, then
 Total Surface Area (TSA) = 6x^{2}
 Lateral Surface Area (LSA) = 4x^{2}
5. What Is Surface Area and Area?
Usually, the term "area" is used to represent the space enclosed by a twodimensional object. The "surface area" is used to represent the sum of the areas of all faces of a threedimensional object.