What happens to the cube of a number if the number is multiplied by ?

1.	What happens to the cube of a number if the number is multiplied by ?(i) 3(ii) 4(iii) 5
Answer» (i) 3 Let the number be a So its cube will be = a³ According to the question, the number is multiplied by 3 New number becomes = 3a So the cube of new number will be, = (3a)³ = 27a³ Hence, number will become 27 times the cube of the number. (ii) 4 Let the number be a So its cube will be = a³ According to the question, the number is multiplied by 4 New number becomes = 4a So the cube of new number will be, = (4a)³ = 64a³ Hence, number will become 64 times the cube of the number. (iii) 5 Let the number be a So its cube will be = a³ According to the question, the number is multiplied by 5 New number becomes = 5a So the cube of new number will be, = (5a)³ = 125a³ Hence, number will become 125 times the cube of the number.

What happens to the cube of a number if the number is multiplied by ?(i) 3(ii) 4(iii) 5

Answer»

(i) 3

Let the number be a

So its cube will be = a³

According to the question, the number is multiplied by 3

New number becomes = 3a

So the cube of new number will be,

= (3a)³

= 27a³

Hence, number will become 27 times the cube of the number.

(ii) 4

Let the number be a

So its cube will be = a³

According to the question, the number is multiplied by 4

New number becomes = 4a

So the cube of new number will be,

= (4a)³

= 64a³

Hence, number will become 64 times the cube of the number.

(iii) 5

Let the number be a

So its cube will be = a³

According to the question, the number is multiplied by 5

New number becomes = 5a

So the cube of new number will be,

= (5a)³

= 125a³

Hence, number will become 125 times the cube of the number.