Class 8 Math: Cubes and Cube Roots Solved Examples & Step Solutions

NexPro Tools Mathematics TeamJune 5, 20266 min read

The best way to gain confidence in mathematics is by studying solved examples. By analyzing how formulas are applied step-by-step, you learn how to tackle complex questions in your homework and exams. Let's walk through standard worked examples for Class 8 Cubes and Cube Roots.

Step-by-Step Solved Problems

Example 1: Finding Cube Root

Question: Find the cube root of 216 using prime factorization.

Worked Solution Steps:

  1. Perform prime factorization: 216 = 2 * 2 * 2 * 3 * 3 * 3.
  2. Group into triplets: (2Ā³) * (3Ā³).
  3. Take one factor from each triplet: 2 * 3 = 6.
  4. Cube root of 216 is 6.
Final Answer: 6

Self-Practice Method

When studying these examples, cover the solution with a sheet of paper and attempt to solve the question on your own. If you get stuck, reveal the steps one by one to identify where your logic deviated. This active recall method builds long-term problem-solving skills.

šŸ“š Class 8 Math Resource Hub for Cubes and Cube Roots: ā€¢ šŸ§® Interactive Solver: Solve Cubes and Cube Roots Problems - Verify steps in real-time. ā€¢ šŸ“ Timed Practice Quiz: Take Cubes and Cube Roots Online Quiz - Test your speed and concepts. ā€¢ šŸ“„ Printable Worksheet: Download Cubes and Cube Roots PDF Worksheet - Interactive problems with answers. ā€¢ šŸ“ Formula Sheet: View Cubes and Cube Roots Key Equations - Complete revision references. ā€¢ šŸ”„ Next Topic Guide: Comparing Quantities Study Notes ā€¢ šŸŽ“ Syllabus Overview: Class 8 Mathematics Portal - Access all chapter guides.
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