100 Perfect Cubes Calculator

Perfect Cubes Formula:

\[ n^3 = n \times n \times n \]

Perfect cubes from 1 to 100:

n (number)	n³ (cube)
1	1
2	8
3	27
4	64
5	125
6	216
7	343
8	512
9	729
10	1000
11	1331
12	1728
13	2197
14	2744
15	3375
16	4096
17	4913
18	5832
19	6859
20	8000
21	9261
22	10648
23	12167
24	13824
25	15625
26	17576
27	19683
28	21952
29	24389
30	27000
31	29791
32	32768
33	35937
34	39304
35	42875
36	46656
37	50653
38	54872
39	59319
40	64000
41	68921
42	74088
43	79507
44	85184
45	91125
46	97336
47	103823
48	110592
49	117649
50	125000
51	132651
52	140608
53	148877
54	157464
55	166375
56	175616
57	185193
58	195112
59	205379
60	216000
61	226981
62	238328
63	250047
64	262144
65	274625
66	287496
67	300763
68	314432
69	328509
70	343000
71	357911
72	373248
73	389017
74	405224
75	421875
76	438976
77	456533
78	474552
79	493039
80	512000
81	531441
82	551368
83	571787
84	592704
85	614125
86	636056
87	658503
88	681472
89	704969
90	729000
91	753571
92	778688
93	804357
94	830584
95	857375
96	884736
97	912673
98	941192
99	970299
100	1000000

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1. What Are Perfect Cubes?

A perfect cube is an integer that is the cube of another integer. In mathematical terms, if n is an integer, then n³ is a perfect cube. For example, 8 is a perfect cube because it equals 2³.

2. How the Calculator Works

The calculator uses the simple formula:

\[ n^3 = n \times n \times n \]

It calculates this for all integers from 1 up to the number you specify (maximum 100).

3. Mathematical Properties

Key Properties:

The sequence of perfect cubes grows rapidly: 1, 8, 27, 64, 125, etc.
The difference between consecutive cubes increases as n increases.
Perfect cubes can be represented geometrically as actual cubes with integer side lengths.

4. Using the Calculator

Instructions: Enter any number between 1 and 100 to see all perfect cubes up to that number. The default shows cubes from 1 to 100.

5. Frequently Asked Questions (FAQ)

Q1: What's the largest cube this calculator shows?
A: The calculator shows up to 100³ = 1,000,000.

Q2: Are there negative perfect cubes?
A: Yes, but this calculator only shows positive cubes. For example, (-2)³ = -8.

Q3: How are cubes used in real life?
A: Cube numbers appear in volume calculations, physics equations, and computer graphics.

Q4: What's special about perfect cubes?
A: They have an exact integer cube root, unlike other numbers which have irrational cube roots.

Q5: Can I calculate cubes beyond 100?
A: This calculator is limited to 100, but mathematically you can cube any number.