NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 are part of NCERT Solutions for Class 8 Maths. Here we have given NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1.

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 8 |

Subject |
Maths |

Chapter |
Chapter 7 |

Chapter Name |
Cubes and Cube Roots |

Exercise |
Ex 7.1 |

Number of Questions Solved |
4 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1

**Question 1.**

**Which of the following numbers are not perfect cubes?**

**(i)** 216

**(ii)** 128

**(iii)** 1000

**(iv)** 100

**(v)** 46656

**Solution.**

**(i) 216**

**(ii)** **128**

**(iii) 1000**

**(iv) 100**

**(v) 46656**

**Question 2.**

**Find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube.**

**(i)** 243

**(ii)** 256

**(iii)** 72

**(iv)** 675

**(v)** 100

**Solution.**

**(i) 243**

**(ii) 256**

**(iii) 72**

**(iv) 675**

**(v) 100**

**Question 3.**

**Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube.**

**(i)** 81

**(ii)** 128

**(iii)** 135

**(iv)** 192

**(v)** 704

**Solution.**

**(i) 81**

**(ii) 128**

**(iii) 135**

**(iv) 192**

**(v) 704**

**Question 4.**

Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm. How many such cuboids will he need to form a cube?

**Solution.**

Volume of a cuboid = 5 x 2 x 5 \({ cm }^{ 3 }\).

Since there is only one 2 and only two 5’s in the prime factorization, so, we need 2 x 2 x 5, i.e., 20 to make a perfect cube. Therefore, we need 20 such cuboids to make a cube.

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