# Cubing 1- or 2-Digit Numbers

Cubing a number is the raising of the number to the third power. In other words, the cube of a number is when you multiply a number times itself twice more (X * X * X).

This method of cubing numbers is rather unusual, as there is no calculation required at all. Instead, the cubes of all the numbers from 0-99 are memorized.

## Cubing Numbers from 0 to 9

Cubing both 0 and 1 are simple. They are their own cubes (0^3^ is 0 and 1^3^ is 1), so no links are really needed. 2^3^ is 8, and that's easily remembered, as well. Before remembering any more of the numbers, you should be comfortable with using the MajorSystem. The phonetic alphabet from the Major System will be used to create links from the numbers 3-99 to their respective cubes. Each association will be made to be as natural and memorable as possible.

Starting with the numbers from 0 to 9, here are the cubes and their links:

 Number Number^3^ Original Link Cube Link 3 27 Ham An Egg 4 64 Rye Sherry 5 125 Lie Denial 6 216 Hash On A Dish 7 343 Key My Room 8 512 Hive Wild Honey 9 729 Bee Go Nip

## Cubing Multiples of 10

Cubing 2-digit multiples of 10 is easy. The number from the tens place is cubed as above, and then you simply add three zeros. For example, 3^3^ is 27, so 30^3^ is 27,000 (27 thousand). 8^3^ is 512, so 80^3^ is 512,000 (512 thousand).

## Cubing the Remaining 2-Digit Numbers

Here are the links for the remaining numbers from 11 to 99:

CubeRoots
FifthRoots

## Etymology of the Table

It is an interesting diversion to compare the word links in the table above to those presented in a 1910 book on magic, Mnemonics as Applied to Conjuring. The somewhat outdated entries in the table above (what's a mash, or a nabob??) are also present in the 1910 book, but it is apparent that someone has updated a few of the above entries from the older list. As an example, the 1910 book has "Tackle a Schottische" for the cube of 56 (or 175,616), while the table above has "Tackle Judge," no doubt because so few know of the Scottish dance form. But a soft "dg" represents a single digit 6 in the MajorSystem, not a separate d and g representing 16, so in fact the newer entry is incorrect. A few other updates have been made, e.g., "liquid coughing" for "liquid quaffing." "Gloomy Outlook" is now paired with "Butt" rather than "Piety," perhaps an indication of a decline in modern sensitivities. A more ambitious and very recent attempt to modernize and streamline this table (including the baffling "Albany Gas Ray" entry), and one that also adds the squares of the numbers, can be found in the paper Mnemonics for Squares and Cubes of Two-Digit Numbers.

## Rubik's Cube

Fastest Rubik's Cube solver in the world Rubik's Cube

What does Rubik's Cube have to do with cubing numbers? Please show a connection, move elsewhere, or delete.