Question

• If a number is do
statement?
number is doubled then which of the following is a cortec
(A) Its cube is two times the cube of the given number.
B) Its cube is three times the cube of the given number.
1) Its cube is six times the cube of the given number.
(D) Its cube is eight times the cube of the given number.
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Answer 1

Hey mate !!!

If a number is doubled, then it's cube is eight times the cube of given number.

Explaination :

let n be any integer.

then, M=2n

M^3 = [ 2n ]^3

= ( 2^3) × n^3

= 8 × n^3

Hence, M^3 is eight times the cube of given number n.

Example :

Let n be 2

2^3 = 8

double of n i.e. 2×2 = 4

4^3 = 64

According to the question,

8×8 = double cube of 2 (n)

64 = 64

hence proved.

hope you've found it informative !!!

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thanks!