Q. 113.9( 10 Votes )

# Write the cubes 5 natural numbers of which are multiples of 7 and verity the following:

“The cube of a multiple of 7 is a multiple of 7^{3}.

Answer :

First 5 natural numbers which are multiple of 7 are = 7 , 14 , 21 , 28 , 35

Cube of these numbers are,

= 7^{3} = 7 × 7 × 7 = 343

= 14^{3} = 14 × 14 × 14 = 2744

= 21^{3} = 21× 21× 21 = 9261

= 28^{3} = 28 × 28 × 28 = 21952

= 35^{3} = 35 × 35 × 35 = 42875

We find that all these cubes are multiple of 7^{3}(343) as well.

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Related Videos

Quiz | Cubes and Cube Roots41 mins

Extra Qs. of Cubes and Cube Roots43 mins

Quiz | Cubes and Cube Roots41 mins

Quiz | Practice More Questions on Cube and Cube Roots27 mins

Champ Quiz | Cube and Cube Roots46 mins

Champ Quiz | Square Roots and Cube roots40 mins

NCERT | Imp. Qs. on Cubes and Cube Roots47 mins

Quiz | Solve Imp. Qs. of Cube and Cube Roots39 mins

Champ Quiz | Cubes and Cube Roots33 mins

Goprep Genius Quiz | Squares and Square Roots34 mins

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

Which of the following numbers are not perfect cubes?

(i) 64

(ii) 216

(iii) 243

(iv) 1728

RD Sharma - MathematicsFind the cubes of the following numbers by column method:

(i) 35

(ii) 56

(iii) 72

RD Sharma - Mathematics