Cubes 1 to 20 : Chart, Table, Memory Tricks and Examples

Most students don’t struggle much with smaller cubes like 2³ or 3³. Those usually come quickly. The hesitation starts with numbers like 11³ or 17³. Or when someone suddenly asks, what is 20 cubed? That pause is not a memory problem. It’s about the lack of proper understanding and hence confidence.

Naturally, learning cubes 1 to 20 builds that confidence early. These values appear in algebra, mental math rounds, and nearly all competitive exams. Instead of memorizing, this guide will help you see patterns, reduce errors, and calculate faster with clarity.

Understanding Cubes 1 to 20

Well, simply put Cubes from 1 to 20 are basically the values you get when you multiply a number three times by itself. In exponential form, cube written as (x)³

For example, the cube of 6³ = 6 × 6 × 6 is 216, while the cube of 16³ = 16 × 16 × 16 is 4096. 

Furthermore, the list of cubes 1 to 20 begins at 1³ = 1 and goes up to 20³ = 8000. These twenty results form a fixed reference set that is extremely helpful in many math problems.

Now let’s look at the full table of cube 1 to 20.

Cubes 1 to 20 Chart

Here is the complete list of cubes 1 to 20. This list is quite helpful for understanding and practicing cubes from 1 to 20, especially until the values feel familiar.

List of Cubes From 1 to 20
13 = 1	11³ = 1331
23 = 8	12³ = 1728
33 = 27	13³ = 2197
43 = 64	14³ = 2744
53 = 125	15³ = 3375
63 = 216	16³ = 4096
73 = 343	17³ = 4913
83 = 512	18³ = 5832
93 = 729	19³ = 6859
103 = 1000	20³ = 8000

If you look closely at this table of cube 1 to 20, you will notice the shift after 10. The values move from three digits to four digits and increase much faster. Understanding this shift is important. Many calculation mistakes happen right around this range.

Cube 1 to 20 – Even Numbers

Moving forward lets take a look at the even numbers from the cubes 1 to 20 list:

2³ = 8	12³ = 1728
4³ = 64	14³ = 2744
6³ = 216	16³ = 4096
8³ = 512	18³ = 5832
10³ = 1000	20³ = 8000

Did you see any pattern? You will find that the cube of an even number is always even. This happens because an even number already contains a factor of 2. Multiplying it repeatedly keeps that factor exactly as it is.

Understanding this pattern proves very helpful in solving objective questions. It helps in eliminating the wrong answers. 

Cube 1 to 20 – Odd Numbers

Now look at the odd numbers from the cubes from 1 to 20 list:

1³ = 1	11³ = 1331
3³ = 27	13³ = 2197
5³ = 125	15³ = 3375
7³ = 343	17³ = 4913
9³ = 729	19³ = 6859

Just like in the case of even numbers, the cube of an odd number will always remain odd.  Again, this helps in elimination. If you see an even answer for 17³, you know something is wrong.

How to Calculate the Values of Cube 1 to 20?

There are two practical methods students use.

Method 1: Direct Multiplication

This is the simplest method. You have to start by multiplying the number twice first, and then finally multiply the number by the result of the square. 

For example: 11 × 11 × 11

• First, you will multiply 11 × 11 = 121.
• Then multiply 121 × 11 = 1331.

This method generally works well for smaller numbers.

Method 2: Identity-Based Thinking

For numbers close to 10, expansion makes calculation easier.

Take 9³ as an example.

It can be written as 9³ = (10 − 1)³

Now, using the expansion: (10 − 1)³ = 10³ − 3 × 10 × 1 × 9 − 1³
= 1000 − 270 − 1
= 729

This method is especially useful in timed tests because it reduces repeated multiplication.

Solved Examples on Cube 1 to 20

Let’s quickly revise the learning with the help of some solved examples.

1. Example 1:
Find the volume of a cube with a side of 17 cm.

Solution: Volume of a cube = a³

So, 17³ = 17 × 17 × 17 = 4913

The volume is 4913 cubic cm.

2. Example 2:
Evaluate 3 × 8³ + 5 × 14³.

Solution: First, find the cubes.

So, as you know from the table of cube 1 to 20, 

8³ = 512
And 14³ = 2744

Now multiply:
3 × 512 = 1536
5 × 2744 = 13720

Finally add them: 1536 + 13720 = 15256

Final answer: 15256.

Memory Tricks to Learn the Cube of 1 to 20

Memorizing cubes 1 to 20 becomes difficult when the list is treated as twenty unrelated numbers. However, a structured approach makes recall more stable. So, instead of attempting the entire list at once, divide the table of cube 1 to 20 into logical groups:

• 1–5: smaller values that establish the pattern
• 6–10: Introduction to consistent three-digit results
• 11–15: transition into four-digit values
• 16–20: larger jumps that require careful attention

Working through one block at a time reduces overload and improves accuracy. Once each block is comfortable, combine them and test full recall.

Another useful strategy is to rely on anchor cubes. Certain values act as reference points:

• 5³ = 125
• 10³ = 1000
• 20³ = 8000

These anchors help estimate nearby cubes. For example, 12³ can be approached as (10 + 2)³. Expanding step by step gives:

10³ + 3 × 10² × 2 + 3 × 10 × 2² + 2³ [ using binomial expansion of  (10 + 2)³]
= 1000 + 600 + 120 + 8
= 1728

When the structure is understood, memorization becomes reinforcement rather than dependence.

Speed Drills

Once grouping and anchor methods are clear, practice should shift from repetition to testing.

• Begin with reverse identification. Look at a cube value such as 512 and identify the base number without referring to the list. In this case, 8³ equals 512.
• Next, apply last-digit verification. If a result ends in 343, the original number must end in 7. This quick check prevents calculation errors.
• Finally, introduce a timed recall. Set a one-minute limit and write cube 1 to 20 from memory. Compare your answers immediately with the table of cube 1 to 20 and correct mistakes.

Short, focused drills are more effective than repeatedly copying the full list.

Conclusion

Cubes 1 to 20 form a foundational reference set in mathematics. Whether solving algebraic expressions or volume problems, quick recall of these values saves time and reduces mistakes. The goal is not mechanical memorization. It is a structured understanding supported by consistent practice. 

At Turito, this is exactly how mathematics is taught. We don’t burden you with heavy formulas and move on. Things are explained properly, patterns are shown with examples, and you are made to practice while you are learning. When you finally understand why something works, the fear around maths starts dropping on its own.

FAQs

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4. What is an example of a cube shape used in a game?

A common example is the dice used in board games. The dice has six square faces and the same length on all sides, which makes the shape of the dice a cube. 

5. What are the perfect Cube numbers of 1 to 20?

The perfect cube numbers 1 through 20 are 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, 1331, 1728, 2197, 2744, 3375, 4096, 4913, 5832, 6859, and 8000.