CUBES AND CUBE ROOTS

 

What is a cubed number?

          When you multiply a whole number (or) Integer (not a fraction) by itself, and then by the number itself again the result is called the cube of that number. 

(or)

When you multiply a whole number (or) Integer (not a fraction) by itself three times the result is called the cube of that number. 

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

0 cubed

=

03

=

0 × 0 × 0

=

0

Cube of a Negative Number.

Just as the cube of a positive number is always positive, the cube of a negative number is always negative.

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

Here are the cubes of 1 to 30 numbers.,

CUBES 1 TO 30
13 = 1	113 = 1331	213 = 9261
23 = 8	123 = 1728	223 = 10648
33 = 27	133 = 2197	233 = 12167
43 = 64	143 = 2744	243 = 13824
53 = 125	153 = 3375	253 = 15625
63 = 216	163 = 4096	263 = 17576
73 = 343	173 = 4913	273 = 19683
83 = 512	183 = 5832	283 = 21952
93 = 729	193 = 6859	293 = 24389
103 = 1000	203 = 8000	303 = 27000

Cube Root

5 cube is 125, the cube root of 125 is 5

Cube Root Symbol

     This is a special symbol, which means "Cube Root". In the case of square root, we use only the root symbol, such as '√’ also known as "Radical". The "radical" for cube root (use for square roots) is a little three to mean cube root. 

We can use it as : 

 we say the cube root of 125 is 5.

Perfect cubes.

The cubes of whole numbers is called as "Perfect Cubes".

Examples: 

PERFECT CUBES
0	0
1	1
2	8
3	27
4	64

N