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 = a
^{3} = a × a × a
Examples showing how to find the volume of a cube. Some of these examples are reallife 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 = a
^{3} = 2
^{3}
Volume of the cube = 2 × 2 × 2
Volume of the cube = 4 × 2
Volume of the cube = 8 cm
^{3}
Example #2:
Find the volume if the length of one side is 3 cm
Since a is equal to 3, volume of the cube = a
^{3} = 3
^{3}
Volume of the cube = 3 × 3 × 3
Volume of the cube= 9 × 3
Volume of the cube = 27 cm
^{3}
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 cm
^{3}
Volume of the cube = 3.375 cm
^{3}
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 cm
^{3}
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) in
^{3}
Volume of the ice cube = 0.4218.75 in
^{3}
Buy a comprehensive geometric formulas ebook. All geometric formulas are explained with well selected word problems so you can master geometry.


Take the quiz below to see how well you understand this lesson about finding the volume of a cube.

Dec 01, 21 04:17 AM
What is the irrational root theorem? Definition, explanation, and easy to follow examples.
Read More
Enjoy this page? Please pay it forward. Here's how...
Would you prefer to share this page with others by linking to it?
 Click on the HTML link code below.
 Copy and paste it, adding a note of your own, into your blog, a Web page, forums, a blog comment, your Facebook account, or anywhere that someone would find this page valuable.