Cubes 1 to 30: Values, Table, Chart & Tricks to Remember

Cubes 1 to 30: You’ve probably come across the term cube while flipping through your Maths textbook. If you’re not sure what it means, don’t worry! In simple words, a cube is the result of multiplying a number by itself three times. For example, the cube of 2 is 2 × 2 × 2 = 8.

Memorising cube values is super helpful in simplifying equations quickly, especially in exams, be it ICSE, CBSE, or competitive exams. In this blog, we’ll share the value of cubes 1 to 30, along with some smart tips and tricks to help you remember them easily.

Cubes 1 to 30

The value of cubes from 1 to 30 are the results of multiplying each number by itself three times, such as 1³, 2³, 3³, and so on up to 30³. As discussed earlier, memorising cubes 1 to 30 can help you solve equations without having to calculate each value manually. The cubes from 1 to 30 in exponential form are as follows:

Exponent Form = x³  

Lowest Value = (1)³ = 1  

Highest Value = (30)³ = 27000  

Therefore, the range of cubes from 1 to 30 is 1 – 27000.

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List of All Cubes from 1 to 30

Unlike square numbers, the cubes of 1 to 30 can be a bit trickier to memorise. That’s why it’s a great idea to have a printed copy or jot them down in your math notebook. Most importantly, learning these cubes ahead of time, especially before stepping into a new class, can speed up your solving process. Thus, added below is the complete cube table 1 to 30 to help you get started:

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Cubes Chart 1 to 30

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Cubes from 1 to 30 – Even Numbers

In the first few days, you might end up getting mixed between every cube value. So, an easy way to memorise the cubes 1 to 30 is to start with even numbers. So, even numbers from 1 to 30 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, and 30. To make memorisation easier, we have prepared an even cube chart 1 to 30 below:

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Cubes from 1 to 30 – Odd Numbers

After learning the even cubes 1 to 30, you will feel confident. You can then start with the odd number cubes. So, the odd numbers from 1 to 30 are 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, and 29. To make memorisation easier, we have prepared an odd table of cube 1 to 30 below:

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How to Calculate Values of Cubes 1 to 30?

Calculating cubes 1 to 30 can be done using various methods, which can help you choose the best approach based on your preference and the complexity of the problem. Here are two common methods: 

1. Direct multiplication method

The most straightforward way to calculate the cube of a number is by multiplying the number by itself three times. The cube of a number n is denoted by n³, and it’s simply:

 n³ = n×n×n

For example, to calculate 4³:

4³ = 4×4×4 = 64

Similarly, for 7³:

7³ = 7×7×7 = 343

This method is easy to understand but can be time-consuming when dealing with larger numbers, especially for every cube value above 10. 

2. Using cube identities

For numbers with a specific structure, such as numbers that are one less or one more than a multiple of 10 (like 9, 11, 19, etc.), you can use cube identities to simplify calculations. One such identity is the binomial expansion formula for cubes:

(a+b)³ = a³+3a²b+3ab²+b³

For instance, to calculate 11³:

11³ = (10+1)³ = 10³+3(10²)(1)+3(10)(12)+1³ = 1000+300+30+1 = 1331

Moreover, this method also saves time when calculating cubes of numbers close to multiples of 10.

Also Learn: Squares 1 to 30

Tricks to Remember Cubes from 1 to 30

Finding it difficult to memorise cubes 1 to 30 all at once? Well, we’ve got you covered. Here are a few tips to help you easily learn the values of cubes so you can ace every exam:

• Start with the Basic Cubes (1 to 10): The cubes of the first ten numbers form an easy-to-remember pattern:

     1³ = 1

     2³ = 8

     3³ = 27

     4³ = 64

     5³ = 125

     6³ = 216

     7³ = 343

     8³ = 512

     9³ = 729

     10³ = 1000

• Break the table into smaller chunks: Once you have completed the first 10 cubes, memorise the next 10 cubes (10-20) and similarly go for 20-30. If you use this approach, you will not mix up between the value of cubes from 1 to 30.

• Use the last digit trick for cubes: Each cube’s last digit follows a pattern which is as follows:

     1 → 1

     2 → 8

     3 → 7

     4 → 4

     5 → 5

     6 → 6

     7 → 3

     8 → 2

     9 → 9

          10 → 0

So, remember this trick and write down the cube table from 1 to 30 in case you notice a lot of equations based on it. However, use this only if you feel you are not confident about your memorisation. 

• Practice with cube tables: Print a cube table from 1 to 30 and place it somewhere visible. This is because regular exposure helps with long-term retention. The more you solve sums containing cubes, the better you will remember their values.

Thus, by using these tricks, you can easily recall and apply cube 1 to 30 during all your exams!

Solved Examples on Cubes of 1 to 30

Below are a few examples that require you to use the values of cubes 1 to 30.

Example 1: A cubical pit in a garden with a side of 12 meters is to be filled with cube-shaped soil bricks, each having a side of 2 meters. How many such bricks are needed to fill the entire pit?

Solution: Volume of pit = 12³ = 1,728 m³

Volume of one brick = 2³ = 8 m³

Bricks needed = 1,728 ÷ 8 = 216

Thus, 216 bricks are needed to fill the entire pit. 

Example 2: A student is asked to simplify the expression:

(a+b)³−(a³+b³)

Given that a = 5 and b = 2, solve the expression.

Solution: Use identity: (a+b)³ = a³+b³+3ab(a+b)

So, the expression becomes:

(a³+b³+3ab(a+b))−(a³+b³) = 3ab(a+b)

Substitute: 3×5×2×7 = 210 

Example 3: A company manufactures cube-shaped boxes with sides of 8 cm. Each box needs to be painted on all 6 sides. One can of paint covers 1,000 cm².

How many boxes can be painted with 5 cans?

Solution: Surface area of one box = 6×8² = 6×64 = 384 cm²

Total paint coverage = 5×1000 = 5000 cm²

Boxes that can be painted = 5000÷384 ≈ 13 

Thus, 13 boxes can be painted with 5 cans. 

Example 4: A metal cube on the side of 18 cm is melted and recast into smaller cubes on the side of 3 cm. These smaller cubes are then painted and sold. If painting costs ₹2 per cm², what is the total cost of painting all small cubes?

Solution: Volume of large cube = 18³ = 5832 cm³

Volume of small cube = 3³ = 27 cm³

Number of small cubes = 5832÷27 = 216

Surface area of one small cube = 6×3² = 54 cm²

Total surface area = 216×54 = 11,664 cm²

Painting cost = 11,664×2 = ₹23,328

Thus, the total cost of painting all small cubes = ₹23,328

Conclusion

Cubes are definitely a bit trickier to learn than squares. But with regular practice and consistent memorisation, you’ll be able to recall the value of cubes 1 to 30 and apply them directly in equations without second-guessing. Many students overlook the importance of learning cubes, and as a result, they end up wasting valuable time during board exams or competitive tests. But you can stay ahead of the curve! Simply print out all cubes from 1 to 30, stick it somewhere visible, and start practicing regularly. A few minutes a day can make a huge difference!

FAQs on Cubes 1 to 30