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**NCERT solutions for Class 8 Maths Cubes and Cube Roots Download as PDF**

## NCERT Solutions for Class 8 Maths Cubes and Cube Roots

**Class –VIII Mathematics (Ex. 7.2)**

**NCERT SOLUTION**

**1. Find the cube root of each of the following numbers by prime factorization method:**

**(i) 64 **

**(ii) 512**

**(iii) 10648 **

**(iv) 27000**

**(v) 15625 **

**(vi) 13824**

**(vii) 110592 **

**(viii) 46656**

**(ix) 175616 **

**(x) 91125**

**Ans. ****(i)** 64

=

= 4

**(ii)** 512

= = 8

**(iii)** 10648

=

= 22

**(iv)** 27000

=

= 30

**(v)** 15625

=

= 25

**(vi)** 13824

=

= 24

**(vii)** 110592

=

= 48

**(viii)** 46656

=

= 36

**(ix)** 175616

=

= 56

**(x)** 91125

= = 45

NCERT Solutions for Class 8 Maths Exercise 7.2

**2. State true or false:**

**(i) Cube of any odd number is even.**

**(ii) A perfect cube does not end with two zeroes.**

**(iii) If square of a number ends with 5, then its cube ends with 25.**

**(iv) There is no perfect cube which ends with 8.**

**(v) The cube of a two digit number may be a three digit number.**

**(vi) The cube of a two digit number may have seven or more digits.**

**(vii) The cube of a single digit number may be a single digit number.**

**Ans. (i)** False

Since, are all odd.

**(ii)** True

Since, a perfect cube ends with three zeroes. e.g. so on

**(iii)** False

Since,

(Did not end with 25)

**(iv)** False

Since = 1728

[Ends with 8]And = 10648

[Ends with 8]

**(v) **False Since = 1000

And = 1331

[Four digit number]**(vi)** False Since = 970299

**(vii)** True

= 1

[Single digit number]= 8

[Single digit number]NCERT Solutions for Class 8 Maths Exercise 7.2

**3. You are told that 1,331 is a perfect cube. Can you guess with factorization what is its cube root? Similarly guess the cube roots of 4913, 12167, 32768.**

**Ans. **We know that = 1000 and Possible cube of = 1331

Since, cube of unit’s digit = 1

Therefore, cube root of 1331 is 11.

4913

We know that = 343

Next number comes with 7 as unit place = 4913

Hence, cube root of 4913 is 17.

12167

We know that = 27

Here in cube, ones digit is 7

Now next number with 3 as ones digit

= 2197

And next number with 3 as ones digit

= 12167

Hence cube root of 12167 is 23.

32768

We know that = 8

Here in cube, ones digit is 8

Now next number with 2 as ones digit

= 1728

And next number with 2 as ones digit

= 10648

And next number with 2 as ones digit

= 32768

Hence cube root of 32768 is 32.

## NCERT Solutions for Class 8 Maths Exercise 7.2

NCERT Solutions Class 8 Mathematics PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 8 Mathematics includes text book solutions from Class 8 Maths Book . NCERT Solutions for CBSE Class 8 Maths have total 16 chapters. 8 Maths NCERT Solutions in PDF for free Download on our website. Ncert class 8 solutions PDF and Maths ncert class 8 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.

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