Cubes 1 to 20

Cubes 1 to 20

CREST Olympiads
CREST Olympiads

Cubes from 1 to 20 is the collection of cubes of all numbers from 1 to 20. Generally, cubes are the values that occur when a number is multiplied by itself three times. Cubes with values ranging from 1 to 20 have values from 1 to 8000. In exponential form, the cubes from 1 to 20 are written as (x)3. Memorizing the cube values help with quick calculations and removes the need to manually go through tedious and long calculations. Learning values of cubes 1 to 20 will be of great help for students appearing for CREST Mathematics Olympiad (CMO) and similar competitions.

The cube values for numbers 1 to 20 are provided here. We have also provided a pdf for the values of cubes 1 to 20 for students to download.

crest-edufund-mental-maths-olympiad

Chart for Cubes 1 to 20

Here is a chart for cubes 1 to 20. These cube values can be used by students to resolve mathematical problems based on the cubic. The major application students can find for these cube values is when they study the volume of geometric solid shapes, which is measured in cubic units.

So, let's start by mastering the cube values of numbers from 1 to 30, which are split down into three stages namely cubes from 1 to 10, cube from 11 to 20 and cube roots from 21 to 30. The Chart for Cubes from 1 to 20 is given below.

Cubes 1 to 10

The below chart shows the cube values for numbers 1 to 10 -

cubes-1-to-10

Cubes 11 to 20

The below chart shows the cube values for numbers 11 to 20 -

cubes-11-to-20

Tables of Cubes

Learning the values of cubes from 1 to 20 can assist students in recognizing all perfect cubes up to four digits and in approximating a cube root by interpolating between known cubes.

Here we will be listing the cube values of 1 to 20 in a tabular format. This will aid the students in solving questions faster and with considerably more ease.

 13 = 1  113 = 1331
 23 = 8  123 = 1728
 33 = 27  133 = 2197
 43 = 64  143 = 2744
 53 = 125  153 = 3375
 63 = 216  163 = 4096
 73 = 343  173 = 4913
 83 = 512  183 = 5832
 93 = 729  193 = 6859
 103 = 1000  203 = 8000

Cubes 1 to 20 - Even numbers

The values of cubes 1 - 20 for even numbers are listed in the table below.

 23 = 8  123 = 1728
 43 = 64  143 = 2744
 63 = 216  163 = 4096
 83 = 512  183 = 5832
 103 = 1000  203 = 8000

Cubes 1 to 20 - Odd Numbers

The values of cubes 1 - 20 for odd numbers are listed in the table below.

 13 = 1  113 = 1331
 33 = 27  133 = 2197
 53 = 125  153 = 3375
 73 = 343  173 = 4913
 93 = 729  193 = 6859
crest-reasoning-workbook

How to find the Cubes for numbers 1 to 20?

Multiplication by itself: The number is multiplied three times in this method, and the end result gives us the number's cube.

To find the cube of any number, just adhere to the steps mentioned below:

Step 1: Take the given number and assign it x. Let us take 6 as an example: so x = 6.

Step 2: Multiply the number 3 times by itself, i.e. 6 x 6 x 6, which will yield 216.

Step 3: Write answer as x³ or 6³ = 216.

Here, the resultant product “216” gives us the cube of the number “6”.

Solved Examples on Cubes 1 to 20

Example 1: Calculate the volume of the box which has an equal dimension of 8 cm.

Solution:

Dimension (a) = 8

A cubic box's volume (V) = a3.

V = 83 = 512

Example 2: Evaluate 3 times 103 plus 12.

Solution:

3 × 103 + 12 = 3 × 1000 + 12 = 3012

Therefore, the value of 3 times 103 plus 12 is 3012.

PDF for Cubes 1 to 20

Students can access the following link to download the pdf for values of cubes 1 to 20.

Download PDF for Cubes 1 to 20

Conclusion

Thus, this was all about cubes from 1 to 20 from our end. Hope the students were able to easily understand the cubes from 1 to 20.

It is highly recommended to download the pdf for cube values for numbers 1 to 20 for better revision.

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