Squares and Cubes for SSC CGL: Learn How to Find Easily

Quantitative aptitude is one of the most scary and time-consuming sections of the SSC CGL exam. If you want to boost your problem-solving skills, then you must learn at least 1-50 squares and cubes for SSC CGL. SSC will not ask you questions about squares and cubes directly in the exam, but you will be required to implement this in some quant questions. Keep memorizing and finding squares and cubes instantly can be tough or time-consuming. To solve this problem, we have provided this blog in which you will find tips to memorize and learn them easily. Along with that, we have provided 1-50 squares and cubes and a calculator by which you can find squares and cubes and their roots of any number.

Basic Concepts of Squares, Cubes, and Their Roots

Here we have provided a basic concept of squares and cubes and their notations.

What is a Square?

The square of a number is the number multiplied by itself. Ex: 5²=5×5=25
Notation: Square of a number 𝑎 is written as: 𝑎²

What is a Square Root?

The square root of a number is a value that, when multiplied by itself, gives the original number. Ex: √25=5
Notation: Square root of a number 𝑎 is written as √𝑎

What is a Cube?

The cube of a number is the number multiplied by itself three times. Ex: 5³=5×5×5=125
Notation: Cube of a number 𝑎 is written as: 𝑎³

What is Cube Root?

The cube root of a number is a value that, when multiplied by itself three times, yields the original number. Ex: ∛27=3

Notation: Cube root of a number 𝑎 is written as ∛a

Difference Between Square and Cube

Feature	Square a2	Cube a3
Operation	Multiply two times	Multiply three times
Root Notation	√	∛
Output Sign	Always Positive (Real)	Can be Negative or Positive
Example	42=16	43=64
Common Use	Area of square shapes	Volume of cube shapes

Squares and Cubes for SSC CGL, Learn from 1 to 50

Here, we have provided the squares and cubes from 1-50 in a table format for your conveinience. You are strongly advised to make a habit of learning at least 10 squares and cubes daily so that you can learn and memorize them easily. Along with that, below we have provided a calculator to find the square and cube, and the square root and cube root of any number.

Number	Square (n²)	Cube (n³)
1	1	1
2	4	8
3	9	27
4	16	64
5	25	125
6	36	216
7	49	343
8	64	512
9	81	729
10	100	1000
11	121	1331
12	144	1728
13	169	2197
14	196	2744
15	225	3375
16	256	4096
17	289	4913
18	324	5832
19	361	6859
20	400	8000
21	441	9261
22	484	10648
23	529	12167
24	576	13824
25	625	15625
26	676	17576
27	729	19683
28	784	21952
29	841	24389
30	900	27000
31	961	29791
32	1024	32768
33	1089	35937
34	1156	39304
35	1225	42875
36	1296	46656
37	1369	50653
38	1444	54872
39	1521	59319
40	1600	64000
41	1681	68921
42	1764	74088
43	1849	79507
44	1936	85184
45	2025	91125
46	2116	97336
47	2209	103823
48	2304	110592
49	2401	117649
50	2500	125000

Calculator to Find Square and Cube & Square Root and Cube Root

Here, we have provided calculators. One is to find the square and cube of any number, and the second is to find the square and cube root of any number.

Tips and Tricks to Learn and Find Square and Cube for SSC CGL

Solving, finding, and memorizing squares and cubes of any number can be difficult or time-consuming, but it can be made easy if you use the tips and tricks that we have provided below. Practice and implement these tips and tricks so that you can prepare them easily.

1. Squaring a number ending in 5:

Formula: (a5)²=a(a+1) followed by 25
Example: 25²=2×3=6, add 25 → 625

2. Near Square Trick:

If you know 30² = 900,
Then:
31²=30²+2×30+1=961 [Formula Used: (a+b)²=a²+2ab+b²]
29²=30²−2×30+1=841 [Formula Used: (a-b)²=a²-2ab+b²]

3. Cube of numbers ending in 1 to 9:

Use known values (e.g., 4³=64)
Memorize cubes of 1–20 for fast access.

4. Use identity:
(a+b)³ or (a−b)³ if the number is near 10, 20, etc.

Formula:
1. (a+b)³=a³+b³+3ab(a+b)
2. (a-b)³=a³-b³-3ab(a-b)
Example: 21³=(20+1)³=8000+3×400×1+3×20×1²+1= 9261

5. Use Flashcards: Create flashcards for better memorization. You are advised to use them in a way that writes a number on one side and writes its square and cube on the other side.

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SSC CGL Previous Year Question Papers

FAQs: Squares and Cubes for SSC CGL