Quantitative Aptitude - SPLessons

Cube of a Number

SPLessons 5 Steps, 3 Clicks
5 Steps - 3 Clicks

Cube of a Number

shape Introduction

In arithmetic and algebra, the Cube of a number n is its third power: the result of the number multiplied by itself twice.

The cube of a number or any other mathematical expression is denoted by a superscript 3.

\(n^3 = n × n × n\).

It is also the number multiplied by its square:

\(n^3 = n × n^2.\)

shape Calculation

How to Calculate the Cube of a Number in 20 seconds?

To find the cube of any number follow the below steps:

Step 1: Apply this Formula – \(A^3 . A^2B . AB^2 . B^3\)

Step 2: Write twice the values of 2nd and 3rd terms under the terms respectively in second row.

Step 3: Add the columns & follow the Carry Over Process.

Example 1:\(15^3\) = ?


Example 2:\(46^3\) = ?


Example 1:\(102^3\) = ?


shape Cubes

The following are the cubes of the numbers from 1 to 100.


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