Question 3(i)
You are told that 1,331 is a perfect cube. Can you guess with factorization what is its cube root? Similarly guess the cube roots of 4913.

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Solution

We know that $10^{3}$ = 1000 and Possible cube of $11^{3}$ = 1331
Since, cube of unit’s digit 11 = 1
Therefore, cube root of 1331 is 11.
4913 We know that $7^{3}$ =343
Next number comes with 7 as unit place $17^{3}$ = 4913
Hence, cube root of 4913 is17.

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You are told that 1,331 is a perfect cube. Can you guess with factorization what is its cube root? Similarly guess the cube roots of 4913.

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Cube Roots

Standard VIII Mathematics

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Question 3(i) You are told that 1,331 is a perfect cube. Can you guess with factorization what is its cube root? Similarly guess the cube roots of 4913.

We know that 103 = 1000 and Possible cube of 113 = 1331 Since, cube of unit’s digit 11 = 1 Therefore, cube root of 1331 is 11. 4913 We know that 73=343 Next number comes with 7 as unit place 173 = 4913 Hence, cube root of 4913 is17.

Question 3(i)
You are told that 1,331 is a perfect cube. Can you guess with factorization what is its cube root? Similarly guess the cube roots of 4913.

We know that $10^{3}$ = 1000 and Possible cube of $11^{3}$ = 1331
Since, cube of unit’s digit 11 = 1
Therefore, cube root of 1331 is 11.
4913 We know that $7^{3}$ =343
Next number comes with 7 as unit place $17^{3}$ = 4913
Hence, cube root of 4913 is17.