Volume of a Cube

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Lesson Objective
In this lesson, we will learn about the volume of a cube.
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About This Lesson
This lesson will explain the following things:
  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

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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

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Lesson Video

If the above player doesn't work, try this direct link.

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Math Video Transcript

Practice Questions & More

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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