# Volume of a cube

Given the length of one side, call it a, the volume of a cube can be found by using the following formula:

Volume of any cube = a3 = a × a × a ## Examples showing how to find the volume of a cube. Some of these examples are real-life examples.

Example #1:

Find the volume of a cube if the length of one side is 2 cm

Since a is equal to 2, volume of the cube = a3 = 23

Volume of the cube = 2 × 2 × 2

Volume of the cube = 4 × 2

Volume of the cube = 8 cm3

Example #2:

Find the volume if the length of one side is 3 cm

Since a is equal to 3, volume of the cube = a3 = 33

Volume of the cube = 3 × 3 × 3

Volume of the cube= 9 × 3

Volume of the cube = 27 cm3

Example #3:

Find the volume of a cube if the length of one side is 3/2 cm

Volume of the cube = (3/2)3

Volume of the cube = 3/2 × 3/2 × 3/2

Volume of the cube = (3 × 3 × 3)/(2 × 2 × 2)

Volume of the cube = 27/8 cm3

Volume of the cube = 3.375 cm3

Example #4:

Each edge of a Rubik's cube has a length of about 5.7 cm. What is the volume of the Rubik's cube?

Volume of the Rubik's cube = (5.7)3

Volume of the Rubik's cube = 5.7 × 5.7 × 5.7

Volume of the Rubik's cube = (32.49 × 5.7 = 185.193

Volume of the Rubik's cube = 185.193 cm3

Example #5:

What is the volume of an ice cube that is (3/4)" by (3/4)" by (3/4)" ?

Volume of the ice cube = (3/4)3

Volume of the ice cube = (3/4) × (3/4) × (3/4)

Volume of the ice cube = (3 × 3 × 3)/(4 × 4 × 4)

Volume of the ice cube = (27)/(64) in3

Volume of the ice cube = 0.4218.75 in3

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