What is a cubed number?

When you multiply a whole number (not a fraction) through itself, and then by chin again the an outcome is a cube number. For instance 3 x 3 x 3 = 27.

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An easy way to write 3 cubed is 33. This way three multiplied by itself 3 times.

The easiest method to execute this calculation is to execute the very first multiplication (3x3) and then to multiply your answer by the very same number you began with; 3 x 3 x 3 = 9 x 3 = 27.

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Learning Cube Numbers

Cube numbers deserve to be a small bit more confusing than squared numbers, simply since of the extra multiplication. Essentially, you room calculating a 3D shape instead of a flat one.

Here is a level (or 2D) 4 x 4 square:


To calculation the variety of blocks (the squared number) us would merely multiply 4x 4 or 42,equalling 16.

Here is a 3D 4 x 4 cube:


To calculation the variety of blocks (the cubed number) this time we would certainly multiply 4 x 4 x 4 or 43 equalling 64.

In KS2, friend won’t require to discover cube numbers off by heart, yet you will have to have a basic understanding of what they are, and how to calculation them. Often youngsters will be offered a sample of numbers, such together lower end cube numbers and may be asked to try to work out the pattern.

Here is a perform of cubed numbers as much as 12x12:

0 Cubed=03=0 × 0 x 0=0
1 Cubed=13=1 × 1 x 1=1
2 Cubed=23=2 × 2 x 2=8
3 Cubed=33=3 × 3 x 3=27
4 Cubed=43=4 × 4 x 4=64
5 Cubed=53=5 × 5 x 5=125
6 Cubed=63=6 × 6 x 6=216
7 Cubed=73=7 × 7 x 7=343
8 Cubed=83=8 × 8 x 8=512
9 Cubed=93=9 × 9 x 9=729
10 Cubed=103=10 × 10 x 10=1,000
11 Cubed=113=11 × 11 x 11=1,331
12 Cubed=123=12 × 12 x 12=1,728

Finding the Cube of a negative Number.

The cube the a negative number will always be negative, as with the cube that a positive number will constantly be positive.

For example; -53 = -5 x -5 x- -5 = (25 x -5) = -125.

Finding the Cube of a Decimal.

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Just like entirety numbers (integers), it’s straightforward to cube a decimal number too. Don’t issue though, you won’t have to memorise these in vital stage 2 (or probably also work castle out)!

1.23 Cubed=1.233=1.23 × 1.23 x 1.23=1.860867
2.56 Cubed=2.563=2.56 × 2.56 x 2.56=16.777216

Worksheets and Practice

Here room some worksheets aimed specifically at gaining to grips with cube numbers and also practising her skills.

Year 6 – drawing dice dots on net cubes

Year 8 – know your squares and your cubes

Year 8 – Cube numbers and also cube roots

Year 8 – Practise finding cubes and cube roots on a calculator

Further Learning

If cube numbers and puzzles are your thing and you really want to offer yourself a challenge, why no look at the BBC Bitesize website or shot some that the puzzles and also problems set by the NRich team at the college of Cambridge?