Question

The difference between two numbers which are perfect cube is 189. If the cube root of smaller of two number is 3. Find the cube root of larger number .​

Answer 1

☆ Solution ☆

Given :-

• The difference between two numbers which are perfect cube is 189.
• The cube root of smaller of two number is 3.

To Find :-

• The cube root of larger number .

Step-by-Step-Explaination :-

Let the larger number be x

According to the question,

( Larger number )³ - ( smaller number )³ = 189

( x )³ - ( 3 )³ = 189

x³ - ( 3 × 3 × 3 ) = 189

x³ - 27 = 189

x³ = 189 + 27

x³ = 216

x = 3√ 216

x = 3√ 6 × 6 × 6

x = 6

Hence,

Cube root of larger number = 6

Answer 2

$\large{\underbrace{\sf{\orange{required \: solution:}}}}$

given that,

• The difference between two numbers which are perfect cube is 189. If the cube root of smaller of two number is 3.

☯️we need to find the cube root of largest number.

_________________________

according to the question,

(b)³ - (a)³ = 189

• a = 3

Let us assume the larger number as b

(b)³ - (3)³ = 189

b³ - 27 = 189

b³ = 189 + 27

b³ = 216

$\sf b = 3 \sqrt{216}$

$\large{ \underline { \sf {\red{ b = 6}}}}$

hence , the larger number = 6

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