Volume of a Cube

Lesson icon
Lesson Objective
In this lesson, we will learn about the volume of a cube.
Sponsored Links
Why icon
About This Lesson
This lesson will explain the following:
  1. How to derive the formula for the volume of a cube
  2. Using the formula to calculate the cube's volume
  3. Using the volume formula to calculate the length of each side (edge) of a cube
The study tips and math video below will explain more.
cube with the sides of length L

Study Tips

Tips icon
Tip #1
In the last lesson, we learned that the volume (V) of a rectangular solid can be calculated by multiplying the width (W), length (L) and height (H) of the solid together. The formula is shown below:
V = WLH
rectangular solid with width W, length L and height H
cube with the sides of length L
Now, a cube is a special form of a rectangular solid because the sides (edges) of the cube have the same length. Therefore, if the length of a side of the cube is L, the width, length and height will have the length L.

With this, we can derive the formula for the volume of a cube as shown below:
V = WLH
       = L×L×L
   = L3   
Hence, we have the formula:
V = L3   
The math video below will explain more about this formula. Also, you will see some examples on using it...

Math Video

Math video icon
Lesson Video
Sponsored Links
 
Math videos icon
Math Video Transcript

Practice Questions & More

Math video icon
Multiple Choice Questions (MCQ)
Now, let's try some MCQ questions to understand this lesson better.

You can start by going through the series of questions on the volume of a cube or pick your choice of question below.
  1. Question 1 on finding the volume of a cube
  2. Question 2 on finding the length of the sides of a cube
Math video icon
Site-Search and Q&A Library

Please feel free to visit the Q&A Library. You can read the Q&As listed in any of the available categories such as Algebra, Graphs, Exponents and more. Also, you can submit math question, share or give comments there.
share icon
Share This Page
iPod Touch & iPhone
iPad
Graphs & Equations
Algebra
Exponents
Symmetry
Fractions
Measurements
Interest
Angles
Triangles
Useful Resources