The chapter Squares and Cubes helps Class 8 students understand how numbers grow when they are multiplied by themselves. It is an important foundation chapter for algebra, number theory, and competitive exams.

🔷 What Are Squares?

A square of a number means multiplying the number by itself.
For example:

• 52=5×5=255^2 = 5 \times 5 = 2552=5×5=25

• 122=14412^2 = 144122=144

In this chapter, students learn:

• Square numbers from 1 to 30

• Patterns in square numbers

• Properties of square numbers

• How to find the square of a number using shortcuts

• Pythagorean triplets

• Square roots (finding the original number whose square is given)

• Estimating square roots and using the long division method

🔷 What Are Cubes?

A cube of a number means multiplying the number by itself three times.
For example:

• 33=3×3×3=273^3 = 3 \times 3 \times 3 = 2733=3×3×3=27

• 73=3437^3 = 34373=343

Students will learn:

• Cube numbers from 1 to 20

• Patterns in cubes

• Properties of cube numbers

• How to find cube of a number using smart tricks

• Cube roots (inverse of cube)

• Prime factorisation method for cube roots

⭐ Why This Chapter Is Important

This chapter helps students:

• Improve mental maths skills

• Build a strong base for algebra

• Understand higher topics in Class 9, 10, and competitive exams

• Recognize number patterns and apply them in problem-solving

🎯 What Students Will Be Able to Do

By the end of this chapter, students will be able to:

• Identify square and cube numbers

• Calculate squares and cubes quickly

• Find square roots and cube roots

• Use squares and cubes in real-life mathematical problems