Question

surface area of a cube ______​

Answer 1

Answer:

Total surface area = 6 *side^2

Step-by-step explanation:

Answer 2

The definition of surface area of a given cube states that if the total surface area is equal to the sum of all the areas of the faces of the cube. Since the cube has six faces, therefore, the total surface area of the cube will be equal to sum of all six faces of cube.

Since, the surface of the cube is in square shape. Hence, area of each face of the cube is equal to square of edge. Let the length of edge of cube is a.

Therefore, area of one face = a2    [By area of square formula]

There are total 6 faces. Therefore,

TSA of cube = a^2 + a^2 + a^2 + a^2 + a^2 +a^2

TSA of cube = 6a^2

A cube consists of ‘n’ number of square units. Hence the space covered by these square units on the surface of the cube is the surface area. Basically, the surface area is the sum of all the area of all the shapes that cover the surface of the shape or object. In the case of a cube, there are 6 faces. So the surface area will be sum of all the area of six faces.

Now, we know, by the formula of area of a square;

Area = Side^2 = a^2

Therefore, the total surface area of a cube = 6 × (area of each side)

= 6 × a^2 = 6a^2 Square Unit

TSA = 6a^2