# Squares and Cubes

The square of a number is the multiplication by itself. That means, for any integer, we can obtain the square by multiplying the integer itself. For example, the square of an integer 4 will be: 4 Ã— 4 = 16, i.e., the square of 4 is equal to 16.

This can be written using exponent as: 42 = 4 Ã— 6 = 16

In the same way, we can find the squares of numbers or square numbers.

Thus, the notation for writing the square of a number “n” is n2.

The cube of a number is the multiplication by itself thrice. That means, for any integer, we can obtain the cube by multiplying the integer by its square. For example, the cube of an integer 5 will be: 52 Ã— 5 or 5 Ã— 5 Ã— 5, i.e., the cube of 5 is equal to 125.

This can be written using exponent as: 53 = 5 Ã— 5 Ã— 5 = 125

In the same way, we can find the cubes of given numbers and the values obtained here are called perfect cube numbers.

Therefore, we can give the notation for writing the square of a number “n” as n3.

## Squares and Cubes table

The list of squares and cubes upto 50 are given in the table below.

 Squares (n2) Cubes (n3) 12 = 1 262 = 676 13 = 1 263 = 17576 22 = 4 272 = 729 23 = 8 273 = 19683 32 = 9 282 = 784 33 = 27 283 = 21952 42 = 16 292 = 841 43 = 64 293 = 24389 52 = 25 302 = 900 53 = 125 303 = 27000 62 = 36 312 = 961 63 = 216 313 = 29791 72 = 49 322 = 1024 73 = 343 323 = 32768 82 = 64 332 = 1089 83 = 512 333 = 35937 92 = 81 342 = 1156 93 = 729 343 = 39304 102 = 100 352 = 1225 103 = 1000 353 = 42875 112 = 121 362 = 1296 113 = 1331 363 = 46656 122 = 144 372 = 1369 123 = 1728 373 = 50653 132 = 169 382 = 1444 133 = 2197 383 = 54872 142 = 196 392 = 1521 143 = 2744 393 = 59319 152 = 225 402 = 1600 153 = 3375 403 = 64000 162 = 256 412 = 1681 163 = 4096 413 = 68921 172 = 289 422 = 1764 173 = 4913 423 = 74088 182 = 324 432 = 1849 183 = 5832 433 = 79507 192 = 361 442 = 1936 193 = 6859 443 = 85184 202 = 400 452 = 2025 203 = 8000 453 = 91125 212 = 441 462 = 2116 213 = 9261 463 = 97336 222 = 484 472 = 2209 223 = 10648 473 = 103823 232 = 529 482 = 2304 233 = 12167 483 = 110592 242 = 576 492 = 2401 243 = 13824 493 = 117649 252 = 625 502 = 2500 253 = 15625 503 = 125000

The above contains squares and cubes of numbers from 1 to 50. These are very useful for the students who are preparing for competitive exams. Memorising these values will help in managing the time while performing numerical calculations.

## Chart of Squares and Cubes

The square and cubes of 1 to 20 are given in the below chart.

## Squares and Cubes PDF

Get the pdf of square, cubes, square root and cube root of numbers here.