The entire area covered by all six faces of the cube is known as the cube’s surface area. Calculating the area of the two bases and the area of the four vertical sides yields the total surface area of a cube. A cube is a solid three-dimensional shape made up of square faces. In cases when we wish to wrap a cube, paint the cube’s surfaces, and so on, knowing the surface area is crucial.
What is the Cube’s Surface Area?
The area of the cube’s surface will be equal to the sum of the bases and the area of the cube’s vertical surfaces. The overall surface area of the cube will equal the surface area of one face multiplied by five since all of the cube’s faces are made up of squares of the same size. The “number of square units” is the unit of measurement (square centimeters, square inches, square feet, etc.). A cube’s surface area might be one of two types:
- Area of lateral surface
- Surface area total
Cube’s Total Surface Area
A cube’s total surface area refers to the entire area covered by all six of its faces. The sum of the areas of these 6 faces is used to compute TSA.
Cube’s Lateral Surface Area
The total area covered by a cube’s side or lateral faces is referred to as the lateral surface area. The sum of the areas of these four faces is used to determine LSA.
Cube Surface Area Formula
Given the edge length, the surface area of a cube may be computed. Let’s look at the formula for a cube’s lateral and total surface area.
Formula for Cube Total Surface Area
The area filled by the six surfaces is calculated using the cube’s total surface area formula. TSA is calculated by multiplying the square of the cube’s side length by 6. As a result, the formula for the cube’s surface area with side length “a” is “6a2.”A cube’s total surface area is equal to (6 side2) square units.
Cube Formula for Lateral Surface Area
The area filled by the four lateral or side surfaces is calculated using the cube’s lateral surface area formula. The cube’s LSA is calculated by multiplying the square of its side length by four. As a result, the formula for the cube’s lateral surface area with side length “a” is “4a2.”A cube’s lateral surface area is equal to (4 side2) square units.
Surface Area of a Cube Calculation
A cube’s total surface area is equal to the square of its side length multiplied by 6. Similarly, we increase the square of side length by 4 to get lateral surface area. The surface area of the cube may be determined by following the methods outlined below:
- Step 1: Determine the length of the cube’s side.
- Step 2: Calculate the square of the cube’s side length.
- Step 3: Multiply the product of the square of side length by 6 for total surface area, and multiply the product of the square of side length by 4 for lateral surface area.
- Step 4: In square units, write your solution.
How do you calculate the surface area of a cube?
The cube’s faces are all square in form. We know that the area of a square is equal to the square’s side2. Because a cube has six faces, its total surface area or surface area will be equal to the sum of the areas of all its surfaces, i.e.6side2.
What is the formula for cube surface area?
If an is the edge length of a cube’s surface, then 6a2 is the formula for surface area.
How big is a cube’s volume?
A cube’s volume is the amount of space it can hold. It’s computed using the formula a3, where an is the cube’s edge length.
The total area of a cube’s surface is equal to the sum of the areas of all the cube’s faces. Surface area is equal to six times the square of the length of the cube’s sides. It is denoted as 6a2, where an is the cube’s side length. It’s essentially the overall area of the earth’s surface. Also, find out how to calculate the volume of a cube. Learn more about this concept with the help of Cuemath where you get guidance from the best experts.
