We calculate the cube of a number by multiplying the number by itself twice. For example, the cube of 11 is represented as 113 and is calculated as,
113 = 11 × 11 × 11 = 1331
Cubes 1 to 20 Chart
The chart of the cubes from 1 to 20 is provided below,
Cubes 1 to 20 List View
Cube 1 to 20 list is a list containing the cubes of numbers from 1 to 20. The table added below contains all the cubes from 1 to 20. Now let's learn these,
Number | Cube | Number | Cube |
|---|---|---|---|
1 | 1 | 11 | 1331 |
2 | 8 | 12 | 1728 |
3 | 27 | 13 | 2197 |
4 | 64 | 14 | 2744 |
5 | 125 | 15 | 3375 |
6 | 216 | 16 | 4096 |
7 | 343 | 17 | 4913 |
8 | 512 | 18 | 5832 |
9 | 729 | 19 | 6589 |
10 | 1000 | 20 | 8000 |
Cubes 1 to 20 (Even Numbers)
Cubes 1 to 20 even numbers contain all the cubes of the even number from 1 to 20, i.e. it contains the cube of 2, 4, 6, 8, 10, 12, 14, 16, 18, and 20. The table added below shows the cube of all the even numbers from 1 to 20.
Number | Cube |
|---|---|
(2)3 | 8 |
(4)3 | 64 |
(6)3 | 216 |
(8)3 | 512 |
(10)3 | 1000 |
(12)3 | 1728 |
(14)3 | 2744 |
(16)3 | 4096 |
(18)3 | 5832 |
(20)3 | 8000 |
Cubes 1 to 20 (Odd Numbers)
Cubes 1 to 20 odd numbers contains all the cubes of the odd number from 1 to 20, i.e. it contains the cube of 1, 3, 5, 7, 9, 11, 13, 15, 17, and 19. The table added below shows the cube of all the odd numbers from 1 to 20.
Number | Cube |
|---|---|
(1)3 | 1 |
(3)3 | 27 |
(5)3 | 125 |
(7)3 | 343 |
(9)3 | 729 |
(11)3 | 1331 |
(13)3 | 2197 |
(15)3 | 3375 |
(17)3 | 4913 |
(19)3 | 6859 |
How to Calculate Cubes 1 to 20?
Cubes from 1 to 20 are the cubes of the number from 1 to 20 and they are calculated by mostly two methods that are,
- By Multiplying the Number by Itself
- By Using Algebraic Identities
By Multiplying the Number by Itself
Cubes from 1 to 20 can be easily calculated by multiplying the number by itself two times i.e. suppose we have to find the cube of 9 then it is calculated as,
93 = 9 × 9 × 9 = 729
Thus, the cubes of all the numbers from 1 to 20 are calculated.
Using Algebraic Identities
Using algebraic identities one can easily find the cube of the number from 1 to 20. Suppose we have to find the cube of 9 and then using Algebraic Identities it is calculated as,
93 = (10-1)3
Using Algebraic Identity, (a - b)3 = a3 - b3 - 3ab(a - b)
⇒ 93 = (10)3 - (1)3 - 3(10)(1)(10-1)
⇒ 93 = 1000 - 1 - 270
⇒ 93 = 729
Thus, the cubes of all the numbers from 1 to 20 are calculated.
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Solved Examples on Cubes 1 to 20
Problem 1: Find the volume of a cubical tank whose side is 11 cm.
Solution:
Given,
Side of the cubical tank (a) = 11 cm
Volume of Cubical tank = a3 = 113 = 1331
Thus, the volume of cubical tank is 1331 cm3
Problem 2: Simplify the following using the values of the cubes 1 to 20 from the above table, (4)3 - (1)3 + (5)3
Solution:
= (4)3 - (1)3 + (5)3
= 64 - 1 + 125 {Using the value of cubes 1 to 20}
= 188
Problem 3: Simplify the following using the values of the cubes 1 to 20 from the above table, (14)3 - (9)3 + (15)3
Solution:
= (14)3 - (9)3 + (15)3
= 2744 - 729 + 3375 {Using the value of cubes 1 to 20}
= 2390
Problem 4: How much water does a fish tank hold that is in the shape of a cube with sides 10 cm?
Solution:
Given,
- Side of Cubical Fish Tank (a) = (a)3
(a)3 = (10)3 = 1000 cm3 = 1000 ml
We know that 1 ml = 1 cc
1000 cc = 1000 ml = 1 liter
Thus, the volume of the fish tank is 1 liter.