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## Some squares and cubes you should know What is a square?

When a number is multiplied by itself, the result is called the square of that number.
For example, 3 * 3 = 9.  This is the same as saying 3 squared, or written with an exponent as 32, and 9 is called the square of 3. This type of calculation is used frequently in math.  Many formulas and calculations require multiplying a number by itself.  It can be useful to have the squares of some basic numbers in memory to help with estimations and to help understand the way the squares get bigger quickly.

Here are some basic squares – take a few minutes to learn some of these by heart.  You will use them more often than you think.

 02 = 0 12 = 1 22 = 4 32 = 9 42 = 16 52 = 25 62 = 36 72 = 49 82 = 64 92 = 81 102 = 100 112 = 121 122 = 144 132 = 169 142 = 196 152 = 225 162 = 256 202 = 400 252 = 625 302 = 900 402 = 1600 502 = 2500

What is a cube?

A cube is similar to a square, but you multiply the number by itself a third time to get the cube.
For example: 3 * 3 * 3 = 27, so 27 is the cube of 3.  The exponent looks like 33. It is also useful to know a few of these, take a minute and learn some of the cubes below.

 03 = 0 13 = 1 23 = 8 33 = 27 43 = 64 53 = 125 103 = 1000 123 = 1728 163 = 4096 203 = 8000 253 = 15625 403 = 64000 503 = 125000 1003 = 1000000