1 to 30 Cube Roots

Cube roots are an essential part of mathematics, especially when solving problems related to volumes, algebra, and simplification. In competitive exams, recognizing the cube roots of perfect cubes from 1 to 30 can give you a significant speed advantage.

Instead of solving long calculations, memorizing these values allows you to solve math questions in seconds. For example:

• $\sqrt[3]{1331}$ = 11
• $\sqrt[3]{8000}$ = 20
• $\sqrt[3]{27000}$ = 30

In this post, we provide a complete list of 1 to 30 cube roots of perfect cubes.

What is a Cube Root?

A cube root of a number $x$ is a value $y$ such that $y\times y\times y=x$. In simple terms, it is the inverse operation of cubing a number.
The symbol for cube root is ∛.

Example:

• The cube root of 27 is 3 because 3 × 3 × 3 = 27.
• The cube root of 1000 is 10 because 10 × 10 × 10 = 1000.

1 to 30 Cube Roots List (Perfect Squares)

This table lists the perfect cubes whose cube roots are whole numbers from 1 to 30.

Download the PDF of 1 to 30 Cube Roots List (Perfect Cubes) from the link given below.

Why is this Table Important for Competitive Exams?

1. Simplification: 
Many questions in Banking and SSC exams involve finding cube roots of large numbers.

2. Mensuration: 
Formulas for the volume of a sphere or cube often require finding cube roots.

3. Reasoning: 
Number series puzzles often follow a pattern of perfect cubes.

4. Compound Interest: 
Some high-level interest problems use cube roots for 3-year period calculations.

Smart Trick to Find Cube Roots of Large Numbers

Cube roots are actually easier to find than square roots because each unit digit is unique!

• If the number ends in 2, its cube root ends in 8 (and vice versa).
• If the number ends in 3, its cube root ends in 7 (and vice versa).
• For all other numbers (0, 1, 4, 5, 6, 9), the unit digit remains the same.

Example: Find $\sqrt[3]{12167}$

1. Last digit is 7, so the cube root’s last digit must be 3.
2. Strike out the last 3 digits (167). We are left with 12.
3. The largest cube less than 12 is $2^3$ = 8. So the first digit is 2.
4. Answer: 23.

Conclusion

Memorizing cube roots up to 30 is a “must-have” skill for any serious aspirant. Use this chart for your daily revision and boost your math speed instantly. Don’t forget to download the PDF for offline study!

Some Important Links
Download 1 to 30 Cube Roots List (Perfect Cubes) PDF	Click Here
Download 1 to 30 Square Roots List (Perfect Squares) PDF	Click Here
Download 1 to 50 Cubes PDF	Click Here

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