# How To Find Surface Area Of Cube And Volume Of Cube

Last Updated on February 18, 2023 by admin

How To Find Surface Area Of Cube And Volume Of Cube is our today’s topic. So without wasting any more time let’s jump into it. ## Surface Area of Cube

Generally, the surface area of any geometrical shape is defined as the total area or region that is covered by the particular shape. Likewise, the surface area of a cube is the total region that is covered by the six sides of a cube.
The formula given to calculate the surface area of a cube is 6a.a or 4. a.a. The formula for the lateral surface area of a cube is 4a.a and the total surface area of a cube is 6. a.a. The unit of the resultant value depends on the unit of the length given.

### Examples

To recall, the surface area of a cube is the total region that is covered by the six sides of a cube. Mathematically, the formula given for the surface area of a cube is 4a.a and 6. a.a where ‘a’ is the side of the cube. The lateral surface area of a cube is a fourth of the length of the side and the total surface area is a sixth of the length of the sides. Some of the examples are:

Example 1: Find the surface area of the cube, if the length of each side of the cube is 6 cm.

Solution:

Given that,

Length of sides, a = 6 cm

Using the formula of the total surface area of cube = 6a.a

6 * 6 * 6 = 6 * 36

6 * 36 = 216

Hence, the total surface area of a cube is equivalent to 216 cm square units.

Example 2: Find the lateral surface area of the cube, if the length of each side of the cube is 5 cm.

Solution:

Given that,

Length of sides, a = 5 cm

Using the formula of the total surface area of cube = 4a.a

4 * 5 * 5 = 4 * 25

4 * 25 = 100

Hence, the total surface area of a cube is equivalent to 100 cm square units.

### Volume of Cube

A cube is a geometrical shape that is made up of six equal or congruent square faces. The length of these six faces is equal to each other. A cube is generally referred to as a square prism or a regular hexagon. The volume of a cube is the total amount of cubic units filled inside a cube. The mathematical formula to find the volume of a cube is s * s * s where ‘s’ is the side of the cube. You must note that all the resultant value for a cube is written in cubic units. We shall solve some examples based on it to understand this topic in a better way.

### Examples

As mentioned, the volume of a cube is the total amount of cubic units filled inside a cube. The mathematical formula to find the volume of the cube is s * s * s where ‘s’ is the side of a cube. Some examples based on the volume of the cube are:

Example 1: Find the volume of the cube if the length of each side is 3 cm.

Solution:

Given that,

Length of each side = 3 cm

Using the formula for the volume of cube = s * s * s.

3 * 3 * 3 = 27 cm cubic units.

Hence, the volume of the cube for the given length is = 27 cm cubic units.

Example 2: Calculate the volume of the cube if the length of each side is 6 cm.

Solution:

Given that,

Length of each side = 6 cm

Using the formula for the volume of cube = s * s * s.

6 *6 * 6 = 216 cm cubic units.

Therefore, the volume of a cube is 216 cm cubic units.

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