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# Volume of a Cube

Volume of a Cube is a measurement of the occupied units of a cube. The volume of a cube is represented by cubic units like cubic centimeter, cubic millimeter and so on. It is also defined as the number of units used to fill a cube.

The cube volume is determined by the formula as V = S3 since it has the same length for all sides. Here, ‘S’ is the length of the side.

 Related Calculators Volume Cube Area of a Cube Calculating Cube Calculating Cube Root

## Volume of a Cube Formula

The volume of a cube is measured by multiplying the length, width and height of the cube.

The formula for the volume of a cube = Length $\times$ Width
$\times$ Height.

Equation for volume of a cube, V = $S^3$

In a cube, the length, width, and height are all same.

Volume of a cube = $S^3$ cubic units

where, 'S' is the length of any edge of the cube.

Volumes of cube structures are similar as the volume of a cube.

## Volume of a Rectangular Cube

Cube is like a cuboid whose faces are squares of the same size and whose dimensions are equal. A rectangular cube is nothing but a cuboid.

The formula for the volume of a rectangular cube = Length $\times$ Width $\times$ Height.

## Measuring Volume of a Cube

We can measure the volume of a cube by multiplying the length of 3 edges of the cube.

### Finding Volume of a Cube:

Steps for finding the surface area of a cube are as follows:
Step 1: Measure the length of one side of the cube.

Step 2: Apply the formula, Volume = (side)$^3$.

## Volume of a Cube Example

Given below are some of the examples to find the volume of a cube.

### Solved Examples

Question 1:

Find the volume of cube given below.

Solution:

Step 1:

The cube is closed with six sides and each side is equal in length.

The length of the cube's side is 3.8 cm.

Step 2:

Volume = S3 (Substitute the length in formula)

= 3.83 (Multiply the length three times)

= 3.8 x 3.8 x 3.8 = 54.87

The volume of cube is 54.87 cubic centimeters.

Question 2: The length of a cubic shape box is 21 cm. What is the volume of the box?
Solution:

Step 1:

The length of cubic box is 21 cm.

Step 2:

Volume = S3 (Substitute the length of box in formula)

= 213 (Expand the value in three)

= 21 x 21 x 21 (Multiply the value 21 three times)

= 9261

The volume of box is 9261 cubic centimeters.