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8. Cube and Cube roots...

# Cube and Cube roots worksheet for class 8 ### myCBSEguide App

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## Cube and Cube Roots Important Topics

• Introduction
• Cubes
• Some interesting patterns
• Smallest multiple that is a perfect cube
• Cube Roots
• Cube root through prime factorisation method
• Cube root of a cube number

## Some important Facts

1. Numbers like 1729, 4104, 13832, are known as Hardy – Ramanujan Numbers. They can be expressed as sum of two cubes in two different ways.
2. Numbers obtained when a number is multiplied by itself three times are known as cube numbers. For example 1, 8, 27, … etc.
3. If in the prime factorisation of any number each factor appears three times, then the number is a perfect cube.
4. The symbol root 3 denotes cube root. For example cube root of 27 is 3.

## NCERT Class 8 Mathematics Solved Worksheets

• Chapter 1: Rational Numbers
• Chapter 2: Linear Equations in One Variable
• Chapter 4: Practical Geometry
• Chapter 5: Data Handling
• Chapter 6: Squares and Square Roots
• Chapter 7: Cubes and Cube Roots
• Chapter 8: Comparing Quantities
• Chapter 9: Algebraic Expressions and Identities
• Chapter 10: Visualising Solid Shapes
• Chapter 11: Mensuration
• Chapter 12: Exponents and Powers
• Chapter 13: Direct and Inverse Proportions
• Chapter 14: Factorisation
• Chapter 15: Introduction to Graphs
• Chapter 16: Playing with Numbers

## Cube Roots

If the volume of a cube is 125 cm3, what would be the length of its side? To get the length of the side of the cube, we need to know a number whose cube is 125. Finding the square root, as you know, is the inverse operation of squaring. Similarly, finding the cube root is the inverse operation of finding cube.

### State true or false.

1. Cube of any odd number is even.
2. A perfect cube does not end with two zeros.
3. If square of a number ends with 5, then its cube ends with 25.
4. There is no perfect cube which ends with 8.
5. The cube of a two digit number may be a three digit number.
6. The cube of a two digit number may have seven or more digits.
7. The cube of a single digit number may be a single digit number

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