Last Updated on September 18, 2024 by XAM CONTENT

Hello students, we are providing case study questions for class 8 maths. Assertion Reason questions are the new question format that is introduced in CBSE board. The resources for assertion reason questions are very less. So, to help students we have created chapterwise assertion reason questions for class 8 maths. In this article, you will find assertion reason questions for CBSE Class 8 Maths Chapter 6 Cube and Cube Roots. It is a part of Assertion Reason Questions for CBSE Class 8 Maths Series.

Chapter | Cube and Cube Roots |

Type of Questions | Assertion Reason Questions |

Nature of Questions | Competency Based Questions |

Board | CBSE |

Class | 8 |

Subject | Maths |

Useful for | Class 8 Studying Students |

Answers provided | Yes |

Difficulty level | Mentioned |

Important Link | Class 8 Maths Chapterwise Assertion Reason |

### Assertion Reason Questions on Cube and Cube Roots

**Questions**:

Q. 1. Assertion (A): The one’s digit in the cube root of the cube number 1728 is 6.

Reason (R): The cube root of a number is the factor that we multiply by itself three times to get that number

(a) Both A and R are true and R is the correct explanation of A.

(b) Both A and R are true but R is not the correct explanation of A.

(c) A is true but R is false.

(d) A is false but R is true.

** Difficulty Level: **Medium

Ans. Option (d) is correct

Explanation: one’s digit in the cube root of cube number is 2 so, A is false but R is true.

Q. 2. Assertion (A): The smallest number by which the number 72 must be multiplied to obtain a perfect cube is 3.

Reason (R): The perfect cube is the result of multiplying the same integer three times.

(a) Both A and R are true and R is the correct explanation of A.

(b) Both A and R are true but R is not the correct explanation of A.

(c) A is true but R is false.

(d) A is false but R is true.

** Difficulty Level: **Medium

Ans. Option (a) is correct

Explanation: We can obtain cube root of 72 only when we multiply 72 by 3 because after multiplication we get 216 whose cube root is 6.

And according to reason if we multiply 6 x 6 x 6 we get 216.

Hence, both A and R are true.

### Also check

- Comparing Quantities Class 8 Assertion Reason Questions Maths Chapter 7
- Cube and Cube Roots Class 8 Assertion Reason Questions Maths Chapter 6
- Algebraic Expressions and Identities Class 8 Assertion Reason Questions Maths Chapter 8
- Square and Square Roots Class 8 Assertion Reason Questions Maths Chapter 5
- Data Handling Class 8 Assertion Reason Questions Maths Chapter 4
- Understanding Quadrilaterals Class 8 Assertion Reason Questions Maths Chapter 3
- Linear Equations in One Variable Class 8 Assertion Reason Questions Maths Chapter 2
- Rational NumbersÂ Class 8 Assertion Reason Questions Maths Chapter 1

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### Topics from which assertion reason questions may be asked

- Cubes
- Adding Consecutive Odd Numbers
- Cubes and their Prime Factors
- Smallest multiple that is a perfect cube.
- Cube Roots
- Cube Root through Prime Factorisation method

Cube of an even natural numbers are even.Cube of an odd natural numbers are odd.The cubes of numbers ending with digits 0, 1, 4, 5, 6 and 9 end with same digits.Cube of three numbers, 0, 1 and -1 is equal to number itself.

Assertion reason questions from the above given topic may be asked.

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### Frequently Asked Questions (FAQs) on Cube and Cube Roots Assertion Reason Questions Class 8

#### Q1: What are assertion reason questions?

A1: Assertion-reason questions consist of two statements: an assertion (A) and a reason (R). The task is to determine the correctness of both statements and the relationship between them. The options usually include:

(i) Both A and R are true, and R is the correct explanation of A.

(ii) Both A and R are true, but R is not the correct explanation of A.

(iii) A is true, but R is false.

(iv) A is false, but R is true. or A is false, and R is also false.

#### Q2: Why are assertion reason questions important in Maths?

A2: Students need to evaluate the logical relationship between the assertion and the reason. This practice strengthens their logical reasoning skills, which are essential in mathematics and other areas of study.

#### Q3: How can practicing assertion reason questions help students?

A3: Practicing assertion-reason questions can help students in several ways:**Improved Conceptual Understanding:**Â It helps students to better understand the concepts by linking assertions with their reasons.**Enhanced Analytical Skills:**Â It enhances analytical skills as students need to critically analyze the statements and their relationships.**Better Exam Preparation:**Â These questions are asked in exams and practicing them can improve your performance.

#### Q4: What strategies should students use to answer assertion reason questions effectively?

A4: Students can use the following strategies:**Understand Each Statement Separately:**Â Determine if each statement is true or false independently.**Analyze the Relationship:**Â If both statements are true, check if the reason correctly explains the assertion.

#### Q5: What are common mistakes to avoid when answering Assertion Reason questions?

A5: Common mistakes include:

Not reading the statements carefully and missing key details.

Assuming the Reason explains the Assertion without checking the logical connection.

Confusing the order or relationship between the statements.

Overthinking and adding information not provided in the question.

#### Q6: What resources can help me practice Assertion Reason Questions for Class 8 Maths?

A6: Use study guides specifically designed for Assertion-Reason questions. Online educational platforms and reference books for Class 8 Maths also offer practice questions and explanations. xamcontent.com also provides assertion reason questions for cbse class 8 maths.

#### Q7: **What are cube roots?**

**What are cube roots?**A7: A cube root is the value that, when multiplied by itself three times, gives the original number.

#### Q8: **How can you determine if a number is a perfect cube?**

**How can you determine if a number is a perfect cube?**A8: A number is a perfect cube if its cube root is an integer. For example, 64 is a perfect cube because cube root of 64 is 4, which is an integer. To check if a number is a perfect cube, find its prime factorization and see if the exponent of each prime factor is a multiple of 3.

#### Q9: **What is the relationship between cube and cube root?**

A9: The cube of a number is the result of raising that number to the power of three, while the cube root is the reverse process, finding the number that was cubed.

#### Q10: **Are there any online resources or tools available for practicing “Cube and Cube Roots**“** assertion reason questions?**

A10: A9: We provide assertion reason questions for CBSE Class 8 Maths on ourÂ website. Students can visit the website and practice sufficient assertion reason questions and prepare for their exams. If you need more case study questions, then you can visitÂ Physics GurukulÂ website. they are having a large collection of case study questions for all classes.