Last Updated on September 8, 2024 by XAM CONTENT

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

Chapter | Cube and Cube Roots |

Type of Questions | Case Study 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 Case Study |

### Case Study Questions on Cube and Cube Roots

**Questions**

**Passage 1: **Mohan has to prepare a physics project in form of a cubical box for a social work campaign but he had a cuboidal box of sides 4 cm, 2 cm, 4 cm. Now he has to change it in the form of cube so that he can complete his project. For this, he needed more cuboids so that he can make his project in form of cube.

**Difficulty Level: **Medium

Q.1. What is the volume of the cuboidal box?

(a) 21 cm^{3}

(b) 32 cm^{3}

(c) 23 cm^{3}

(d) 42 cm^{3}

Ans. Option (b) is correct.

Explanation: volume of cuboid = l x b x h = 4 x 2 x 4 = 32 cm^{3}

Q. 2. In which form of the group should be the side of cube?

(a) Triples

(b) Squares

(c) Singles

(d) none of these

Ans. Option (a) is correct.

Explanation: Side of cube are always in form of Triples.

Q.3. How many cuboids are more needed?

(a) 20

(b) 10

(c) 16

(d) 25

Ans. Option (c) is correct.

Explanation: Number of cuboids needed = 2 x 2 x 4 = 16

Q. 4. How can we change cuboid into cube?

Sol. To change cuboid into cube, Dimensions of cuboid should be in triples.

Here two 2 and one 4 is needed to make it a perfect cube

So multiply 32 by 16 to make it a perfect cube.

Q. 5. How will we calculate number of cubes needed to make it a perfect cube?

Sol. Since side of cuboid are 4x2x4

To form it as a cube dimensions should be in form of triples.

To make them as triples we need 2, 2 and 4

Thus we have to multiply 32 by 16 to make it a perfect cube.

Hence number of cube needed = 16

### Also check

- Exponents and Powers Class 8 Case Study Questions Maths Chapter 10
- Mensuration Class 8 Case Study Questions Maths Chapter 9
- Algebraic Expressions and Identities Class 8 Case Study Questions Maths Chapter 8
- Comparing Quantities Class 8 Case Study Questions Maths Chapter 7
- Cube and Cube Roots Class 8 Case Study Questions Maths Chapter 6
- Square and Square Roots Class 8 Case Study Questions Maths Chapter 5
- Data Handling Class 8 Case Study Questions Maths Chapter 4
- Understanding Quadrilaterals Class 8 Case Study Questions Maths Chapter 3
- Linear Equations in One Variable Class 8 Case Study Questions Maths Chapter 2
- Rational Numbers Class 8 Case Study Questions Maths Chapter 1

### Download eBooks for CBSE Class 8 Maths

- Rational Numbers Topicwise Worksheet for CBSE Class 8 Maths
- Linear Equations in One Variable Worksheet for CBSE Class 8 Maths
- Understanding Quadrilaterals Worksheet for CBSE Class 8 Maths
- Data Handling Worksheet for CBSE Class 8 Maths
- Squares and Square Roots Worksheet for CBSE Class 8 Maths
- Cube and Cube Roots Worksheet for CBSE Class 8 Maths
- Comparing Quantities Worksheet for CBSE Class 8 Maths
- Algebraic Expressions and Identities Worksheet for CBSE Class 8 Maths

### Topics from which case study 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.

Case study questions from the above given topic may be asked.

### Frequently Asked Questions (FAQs) on Cube and Cube Roots Case Study

### Q1: What is a cube in mathematics?

A1: A cube in mathematics is the result of multiplying a number by itself three times. For example, the cube of 2 is calculated as 2 × 2 × 2 = 8.

### Q2: What are cube roots?

A2: A cube root is the value that, when multiplied by itself three times, gives the original number.

### Q3: How do you find the cube of a negative number?

A3: The cube of a negative number is always negative. For example, the cube of -2 is calculated as -2 × -2 × -2 = -8. This is because multiplying a negative number an odd number of times (like three) results in a negative product.

### Q4: How can you determine if a number is a perfect cube?

A4: 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.

### Q5: What is the relationship between cube and cube root?

A5: 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.

### Q6: **How can cube roots be calculated for non-perfect cubes?**

A6: For non-perfect cubes, cube roots can be approximated using methods like prime factorization, estimation, or using a calculator.

### Q7: **What are some real-life applications of cubes and cube roots?**

A7: Cubes and cube roots are used in various real-life situations, such as calculating the volume of cubes and other 3D shapes, understanding growth patterns in biology, and solving problems in physics related to force and pressure.

### Q9: **Are there any online resources or tools available for practicing **cube and cube roots** case study questions?**

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