This document explains how to cube numbers by multiplying them by themselves three times. It provides examples of numbers cubed, such as 3 cubed equals 27. It then discusses cube roots, which are the inverse operation of cubing a number. Cube roots can be used to find the length of one side of a cube if you know the volume. The document shows the cube root symbol and provides an example of taking the cube root of 27 to equal 3. It also lists some perfect cubes of whole numbers up to 8000 and provides steps for estimating cube roots.

2. •To understand cube roots, first, we must understand cubes……
HOW TO CUBE A NUMBER:
To cube a number, just multiply a number by itself 3 times.
•For e.g. 3 cubed = 33 = 3 x 3 x 3 = 27
3
3 3

3. Some more examples of cubes:
 4 = 64
 53 = 125
 73 = 343
 23 = 8
 13 = 1
 33 = 27
 63 = 216
 83 = 512
 93 = 729
 103 = 1000

4. 3

5. CUBE ROOTS
Taking the
Cube root of a
perfect cube
will give you the
dimension of
one edge of
the cube
3 3
3
27= 3
3
3

6. The Cube Root Symbol!!
This is the special symbol that means ‘cube root’.
It is the RADICAL symbol (used for square roots also),
with a little three to mean cube root.
This would be said, the cube root of 27 equals 3.

7. CUBE ROOT: Just like square roots are the opposite of squaring a number,
cube roots, are the opposite of cubing a number.
A cube root goes in the other direction:
INVERSE
OPERATIONS
43
3
x x3

8. These are some of the PERFECT CUBES of whole numbers!

9. 8000 = 2x2x2 x 2x2x2 x 5x5x5
So, 8000 = 2 x 2 x 5
3

10. •Step 1- Form groups of three
starting from the right most digit.

11. •Step 2- Take 576
•The digit is 6 at one’s place.
•We will now take 6 as required cube’s
one place.

12. FINDING CUBE ROOTS USING ESTIMATION
•Step 3- Then take the other group that is 17.
•Cube of 2=8 and cube of 3=27.
•So, 17 lies between 2 and 3 and the smallest
number between them is 2.
•Take 2 as required cube’s tens place

13. THANK
S