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Cube Numbers


In this article we are going to discuss cube numbers.

A couple of lines down you can find our calculator which can cube any real number.

The terms cube number and perfect cube are synonym.

It’s called perfect cube because the number is the cube of a whole number.
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Cube Numbers Definition

A perfect cube is the product of some integer with itself two times.



Therefore, it is expressed as n3 = n × n × n; n is a whole number.

As you can see, a cube number is an exponentiation involving the base n and the exponent 3, sometimes written as n^3.

In other words, it means n to the power of 3.

It follows from that that n can be positive or negative (if you cube a negative number the result will be a negative), but usually the meaning is n > 0.

If n represents the length of a side, then n^3 expresses the volume of the shape of a cube with side length n.

This answers the question how do you cube a number?

Cube Numbers Formula

n3 = n × n2

For n2 you may use .

Next, let’s look at some examples.

Cube Numbers Examples

  • Example 1 – 3: 33 = 3 × 3 × 3 = 27.
  • Example 2 – 4: 43 = 4 × 4 × 4 = 64.
  • Example 3 – 10: 103 = 10 × 10 × 10 = 1000.
If n3 is the cube number, then n is the principal cube root.
  • Example 4: The cube root of 1728 (12 × 12 × 12 = 123 =) is 12.
To find out if a given integer is a perfect cube, calculate its cube roots.

If the cube root is a natural number (has no decimal places and is non-negative), then the number is indeed a cube number.
  • Example 5: Is 224 a cube number? No, ∛224 = 6.0731779437 (has decimals).
  • Example 6: Is 216 a cube number? Yes, ∛216 = 6 (has no decimals).
  • Example 7: If the cube of a number is y, then what is the original number x? By definition, the product y = x3, so x = ∛y.
This table is a shortcut to the most searched items in Google: In the section ahead we discuss the frequently asked questions.

Frequently Asked Questions

Click on the question which is of interest to you to see the collapsible content answer.

What are the first 10 cube numbers?

The first 10 cube numbers are 0, 1, 8, 27, 64, 125, 216, 343, 512, 729.

What is the formula of the cube?

The formula of a cube is n × n × n; n = side.

Is 400 a perfect cube?

∛400 = 7.3680629972 has decimals, so it’s not a perfect cube. However, ∛400 = 20 x 20, which means it’s a perfect square.

How do you tell if a number is a perfect cube?

If the cube root of the number is a whole number, then the number is a perfect cube.

What does six cubed mean?

Six cubed means 63.

What is the definition of a cube?

The volume y of a cube with side x is defined as y = x3.
If something remains unclear do not hesitate getting in touch with us.

We are constantly trying to improve our site, and truly appreciate your feedback.

Ahead is the table in the context of this site.

Cube Numbers List

The table below answers the question what are the cube numbers from 1 to 100?
NumberCubeCube Root
000
111
281.2599210499
3271.4422495703
4641.587401052
51251.7099759467
62161.8171205928
73431.9129311828
85122
97292.0800838231
1010002.15443469
1113312.2239800906
1217282.2894284851
1321972.3513346877
1427442.4101422642
1533752.4662120743
1640962.5198420998
1749132.5712815907
1858322.6207413942
1968592.6684016487
2080002.7144176166
2192612.7589241764
22106482.8020393307
23121672.8438669799
24138242.8844991406
25156252.9240177382
26175762.9624960684
27196833
28219523.0365889719
29243893.0723168257
30270003.107232506
31297913.1413806524
32327683.1748021039
33359373.20753433
34393043.2396118013
35428753.2710663102
36466563.3019272489
37506533.3322218516
38548723.3619754068
39593193.391211443
40640003.4199518934
41689213.4482172404
42740883.4760266449
43795073.5033980604
44851843.5303483353
45911253.5568933045
46973363.583047871
471038233.6088260801
481105923.6342411857
491176493.65930571
501250003.6840314986
511326513.7084297693
521406083.7325111568
531488773.7562857542
541574643.7797631497
551663753.8029524608
561756163.8258623655
571851933.8485011313
581951123.8708766406
592053793.8929964159
602160003.9148676412
612269813.9364971831
622383283.9578916097
632500473.9790572079
642621444
652746254.0207257586
662874964.0412400206
673007634.0615481004
683144324.0816551019
693285094.1015659297
703430004.1212852998
713579114.1408177494
723732484.1601676461
733890174.1793391964
744052244.1983364538
754218754.2171633265
764389764.2358235843
774565334.2543208651
784745524.2726586817
794930394.290840427
805120004.3088693801
815314414.3267487109
825513684.3444814858
835717874.3620706715
845927044.3795191399
856141254.3968296722
866360564.4140049624
876585034.4310476217
886814724.4479601811
897049694.4647450956
907290004.4814047466
917535714.4979414453
927786884.5143574355
938043574.5306548961
948305844.5468359438
958573754.5629026354
968847364.5788569702
979126734.5947008922
989411924.6104362921
999702994.6260650092
10010000004.6415888336
As follows, the sequence of perfect cubes is 0 (0 x 0 x 0), 1 (1 x 1 x 1), 8 (2 x 2 x 2), 27 (3 x 3 x 3), 64 (4 x 4 x 4), 125 (5 x 5 x 5), 216 (6 x 6 x 6), 343 (7 x 7 x 7), 512 (8 x 8 x 8), 729 (9 x 9 x 9), …

Cube Numbers Calculator

Here we would like to tell you that our tool at the top of this page works both ways; you can either fill in the top or the bottom input field.

Our app works with all real numbers, and you don’t need to press a button unless you want to go back to square one.

You may use the down and up arrows (called spinners) to decrease and increase the input value.

Frequently calculated terms on our site include, for instance: We now provide you with some additional information regarding the shape, or which might be useful to you to come up with n^3.

Additional Information

A cube is a three-dimensional object: In geometry, it is the only regular hexahedron; it has 6 faces, 8 vertices and 12 edges.

n × n × n = length × width × height.

This is the difference between two perfect cubes:

(n + 1)3 − n3 = 3(n + 1)n + 1 ⇔ n3 − (n − 1)3 = 3(n − 1)n + 1.

The following symmetry applies: (−n)3 = −(n3).

Note that you can always employ the search form located in the menu and in the sidebar of this site to locate information about a particular term.

Or simply consult our chart.

Next is the summary of our article.

Bottom Line

A cube number n3 means n × n × n, n is an integer and × is the multiplication symbol.

The exponentiation form n3 or n^3 is mostly used to express a cube.

If the third root of a cubed number has no decimal places, then the cubed number is a cube number!

If this article about the cube of numbers has been of help to you, then please share it by means of the social buttons below.

Perhaps you are also interested in the similar concept of square numbers which you can find here.

And should you want to give us feedback use the form at the bottom.

Resources related to squares and similar geometrical shapes can be found under “recommended sites” section in the sidebar.

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And come back soon, practice makes perfect!

Thanks for your visit.

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