Question

find the smallest 5 digit number which is a perfect cube​

Answer 1

Answer:

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Step-by-step explanation:

Firstly the known smallest 5 digit number is 10,000 and find the cube root of 10,000 to get a decimal number. Since we need a natural number’s cube round it off to the nearest natural number.

We can approach this problem in a slightly different way. Let us assume the number 20, the cube of 20 is 8000, which is not a5 digit number.

Now check for 21. It is 9261, which is also not a 5 digit number. So check for 22, it gives 10,648 and is a smallest 5 digit cube.

So 10,648 is the smallest 5 digit cube.

Answer 2

Answer:

10648

Step-by-step explanation:

The smallest 5 digit number = 10000

10000 is not the perfect cube.

Let us take some Numbers to obtain perfect cube

20³ = 8000 it is less than smallest 5-digit number

21³= 9261 it is the largest 4 digit perfect cube.

So,

22³ = 10648 it is the smallest 5-digit perfect cube.

Hence, we can observe that 10648 is the smallest 5-digit perfect cube.

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Hope this will help you...