Surface Area of Cube
The surface area of the cube can be defined as the total area covered by all six faces of the cube. The total surface area of a cube can be calculated if we calculate the area of the two bases and the area of the four lateral faces. A cube is a threedimensional solid figure which consists of square faces. The surface area is important to know in the situations where we want to wrap a cube, paint the surfaces of the cube, etc.
1.  What is the Surface Area of Cube? 
2.  Surface Area of Cube Formula 
3.  How to Find Surface Area of Cube? 
4.  FAQs on Surface Area of Cube 
What is the Surface Area of Cube?
The surface area of the cube will be the sum of the area of the bases and the area of lateral surfaces of the cube. Since all six faces of the cube are made up of squares of the same dimensions then the total surface area of the cube will be the surface area of one face added six times to itself. It is measured as the "number of square units" (square centimeters, square inches, square feet, etc.). The surface area of a cube can be of two types,
 Lateral surface area
 Total surface area
Total Surface Area of Cube
The total surface area of a cube refers to the total area covered by all six faces of a cube. To calculate the TSA of a cube, we find the sum of the areas of these 6 faces.
Lateral Surface Area of Cube
The lateral surface area of a cube refers to the total area covered by the side or lateral faces of a cube. To calculate LSA, we find the sum of areas of these 4 faces.
Surface Area of Cube Formula
The surface area of a cube can be calculated given the edge length. Let us understand the formula for the lateral and total surface area of a cube.
Total Surface Area of Cube Formula
The formula of the total surface area of the cube is used to find the area occupied by the six surfaces. TSA of the cube is obtained by multiplying the square of its side length by 6. Thus, the formula for the surface area of the cube, with side length "a" is "6a^{2}".
Total Surface Area of a Cube = (6 × side^{2}) square units
Lateral Surface Area of Cube Formula
The formula of the lateral surface area of the cube is used to find the area occupied by the four lateral or side surfaces. LSA of the cube is obtained by multiplying the square of its side length by 4. Thus, the formula for the lateral surface area of the cube, with side length "a" is "4a^{2}".
Lateral Surface Area of a Cube = (4 × side^{2}) square units
How to Find Surface Area of Cube?
The total surface area of a cube is equal to the square of its side length times 6. Similarly, for lateral surface area, we multiply the square of side length by 4. By following the steps mentioned below, we can find the surface area of the cube:
 Step 1: Identify the length of the side of the cube.
 Step 2: Find the square of the length of the side of the cube.
 Step 3: For total surface area, find out the product of the square of side length by 6, while for lateral surface area multiply the product of the square of side length by 4.
 Step 4: Write your answer in square units.
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Surface Area of Cube Examples

Example 1: The length of the side of the cube is 15 in. Find the total surface area of the cube.
Solution:
Length of the side of the cube, a = 15 in.
Using the formula for the area of the cube, which is: A = 6a^{2},
A = 6 × 15 × 15
A = 1350
Therefore, the surface area of the cube is 1350 square inches.

Example 2: Olive has been given a cube of base area 64 square units. Find the length of the side of the cube and the total surface area of the cube.
Solution:
The base area of the cube = 64 square units.
Length of the side of the cube 'a' = √64 = 8 units.
Total surface area: A = 6a^{2}
A = 6 × 8^{2}
A = 384
Therefore, the length of the base of the cube is 8 units, and the area of the cube is 384 square units.

Example 3: What is the lateral surface area of a cube of side length 12 feet?
Solution:
Given, side length (a) = 12 feet.
Lateral surface area: L = 4a^{2}
L = 4 × 12^{2}
L = 576
Therefore, the lateral surface area of the cube is 576 square feet.
FAQs on Surface Area of Cube
What is the Surface Area of a Cube?
The surface area of a cube is defined as the total area covered by the faces of a cube. To calculate the surface area of a cube, we find the sum of the area of all the faces of a cube.
What is the Formula of Surface Area of Cube?
The surface area of a cube with edge length as 'a' can be calculated using the following formulas, LSA of Cube = 4a^{2} square units and, TSA of Cube = 6a^{2} square units.
What is the Unit Used to Express Surface Area of Cube?
The surface area of a cube is expressed in square units, for example using units like in^{2}, ft^{2}, yd^{2}, m^{2}, cm^{2}, etc.
What is the Lateral Surface Area of a Cube?
The lateral area of a cube is the total area covered by the lateral or side faces of a cube. The formula to calculate the lateral surface area of a cube is given as, Lateral surface area = 4a^{2}, where, 'a' is the edge length of the cube.
How to Find Total Surface Area of Cube?
The total surface area of a cube is the area covered by all six faces of a cube. The formula to find the total surface area of a cube is given as, Total surface area = 6a^{2}, where, 'a' is the edge length of the cube.
How to Find Surface Area of Cube When Volume is Given?
When volume is given, we first find the length of one side of the cube and then apply the formula for the surface area of the cube. The volume of the cube formula is (side)^{3} which can be used to find the side length. For example, if the volume of a cube is 64 cubic units, then the length of one side of the cube = ^{3}√64 = 4 units. Now, by using the surface area of the cube formula, i.e 6 × (side)^{2}, we can find its surface area. This implies, TSA = 6 × 4 × 4 = 96 square units.
How to Find Surface Area of Cube with Diagonal?
The formula of diagonal of a cube is a√3 units, where a is the length of one side of the cube. By using this formula and the given value of diagonal, we can first find the side length of the cube followed by finding its surface area.
What is the Formula to Find the Area of the Base of a Cube?
The base of the cube is in the shape of a square. The formula to find the area of the base of a cube is a^{2}, where a is the length of the side of the cube.
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