Cubes from 1 to 30 Table and Trick to Learn
Cubes from 1 to 30: If one multiplies a number 3 times with the same number then the resultant product is considered the cube of that particular number. For example, the cube of 4 is 64. Here the multiplication of 4 three times results in 4x4x4 = 64, then means that 64 represents the cube of 4. Memorizing the values of cubes of numbers from 1 to 30 assists you in solving problems related to math, physics, and accounting easily and quickly. In this article, you will learn cubes from 1 to 30, the cubes from 1 to 30 chart for even and odd numbers, and the methods to solve cube values.
Cubes from 1 to 30
Cubes of numbers from 1 to 30 cover the cube values from 1 to 27000. The largest cube value is 30³ = 27000 and the smallest value is 1³ = 1. The cubes from 1 to 30 are expressed as x³ in the exponential form. For example, the cube of 5 is 5³ means 125. So the value of the cube of 5 is 125. These cube values help students to easily simplify the long-time-taking mathematical calculations.
Cubes from 1 to 30 Chart
The cube from 1 to 30 chart helps students quickly find out the values of the cubes of numbers from 1 to 30. After learning these cubes from 1 to 30, you can make time-consuming mathematical equations simpler at the time of examinations. Many times, students are suggested to remember these cube values from 1 to 30 thoroughly for maintaining faster calculations in exams. The perfect cube numbers in the cubes from 1 to 30 are 1, 8, and 27 only. The value of the cube of numbers ranging from 1 to 30 is listed below.
| Cubes from 1 to 30 Chart | |
|---|---|
| 1³ = 1 | 16³ = 4096 |
| 2³ = 8 | 17³ = 4913 |
| 3³ = 27 | 18³ = 5832 |
| 4³ = 64 | 19³ = 6859 |
| 5³ = 125 | 20³ = 8000 |
| 6³ = 216 | 21³ = 9261 |
| 7³ = 343 | 22³ = 10648 |
| 8³ = 512 | 23³ = 12167 |
| 9³ = 729 | 24³ = 13824 |
| 10³ = 1000 | 25³ = 15625 |
| 11³ = 1331 | 26³ = 17576 |
| 12³ = 1728 | 27³ = 19683 |
| 13³ = 2197 | 28³ = 21952 |
| 14³ = 2744 | 29³ = 24389 |
| 15³ = 3375 | 30³ = 27000 |
Cubes from 1 to 30 for Even Numbers
The value of cubes of even numbers ranging from 1 to 30 is given below in table form. Only 8 as an even number is the perfect cube in the cubes from 1 to 30.
| Cubes from 1 to 30 for Even Numbers | |
| 2³ = 8 | 4³ = 64 |
| 6³ = 216 | 8³ = 512 |
| 10³ = 1000 | 12³ = 1728 |
| 14³ = 2744 | 16³ = 4096 |
| 18³ = 5832 | 20³ = 8000 |
| 22³ = 10648 | 24³ = 13824 |
| 26³ = 17576 | 28³ = 21952 |
| 30³ = 27000 | |
Cubes from 1 to 30 for Odd Numbers
The value of cubes of odd numbers ranging from 1 to 30 is given below in table form. Only 1 and 27 as odd numbers are the perfect cube in the cubes from 1 to 30.
| Cubes from 1 to 30 for Odd Numbers | |
| 1³ = 1 | 3³ = 27 |
| 5³ = 125 | 7³ = 343 |
| 9³ = 729 | 11³ = 1331 |
| 13³ = 2197 | 15³ = 3375 |
| 17³ = 4913 | 19³ = 6859 |
| 21³ = 9261 | 23³ = 12167 |
| 25³ = 15625 | 27³ = 19683 |
| 29³ = 24389 | |
How to Calculate Cubes from 1 to 30?
The one method named multiplication by itself is mentioned below for calculating the values of cubes of numbers ranging from 1 to 30.
Multiplication by itself
Under this method, the value of the cube is solved by the multiplication of a given number by itself three times. The result after three times multiplication is called the cube of that number. For example, the value of a cube of 3 = 3 × 3 × 3 = 27. Here, the final result 27 informs that it is the cube of the number 3. This method of Multiplication by itself is generally applied to smaller numbers.
Cubes from 1 to 30 Solved Questions
Question 1: When a cube-shaped box has a side of 7 inches. Calculate the volume of that box.
Solution: As we know the volume of the cube (V) = a³ where a = side of the cube
Here side of the cube = 7
So the volume of that box = 7³
Putting the cube value of 7 from cube from 1 to 30 chart,
We get, V = 4913
Hence, the volume of that box = 4913 inches³.
Question 2: The length of one side of a cubic almirah is 9 cm. Find the volume of that table.
Solution: As we know the volume of the cube (V) = a³ where a = side of the cube
Here side of the almirah = 9
So the volume of that almirah = 9³
The volume of that almirah is, V= 9³ cm³ = 729 cm³
Question 3: Calculate the value of the given expression [6³+ 12³ + 5³]
Solution: Putting the cube values of 6, 12, and 5 in the given expression, we get
[6³+ 12³ + 5³] = 216 + 1728 + 125
[6³+ 12³ + 5³] = 2069
Question 4: Evaluate 6 times 3 cubes plus 12.
Solution: As per the given question, 9 × 3³ + 12 = 9 × 27 + 12 = 255
Hence the value of 6 times 3 cubes plus 12 is 255.
Question 5: Find the volume of a spherical ball having a radius of 3 inches.
Solution: As we know the volume of a sphere (V) = 4/3 π R³
⇒ V = 4/3 π R³ = 4/3 × 3.14 × 3³
⇒ V = 1.333 × 3.14 × 27 = 113.04 in³
Hence, the volume of the given ball is 113.04 in³
