Find the cube root of $79507$.

Important Questions on Cubes and Cube Roots

MEDIUM

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 7 - Cubes and Cube Roots>MISCELLANEOUS EXAMPLE>Q 5

Find the cube root of $185193$.

EASY

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 7 - Cubes and Cube Roots>MISCELLANEOUS EXAMPLE>Q 6

We can guess the cube root of a six digit number. We can use this guess to discard non-perfect cubes. Let us guess cube root of $10658$ as $22$. Verification using the pattern $10658–22=10636$ which should be divisible by $22$. But it is not divisible by $22$. So it is not a perfect cube. 
Now, state and verify $739$ as being perfect or not perfect cube.

MEDIUM

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 7 - Cubes and Cube Roots>MISCELLANEOUS EXAMPLE>Q 6

We can guess the cube root of a six digit number. We can use this guess to discard non-perfect cubes. Let us guess cube root of $10658$ as $22$. Verification using the pattern $10658–22=10636$ which should be divisible by $22$. But it is not divisible by $22$. So it is not a perfect cube.
Now, state and verify $1331$ as being perfect or not perfect cube.

EASY

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 7 - Cubes and Cube Roots>MISCELLANEOUS EXAMPLE>Q 6

We can guess the cube root of a six digit number. We can use this guess to discard non-perfect cubes. Let us guess cube root of $10658$ as $22$. Verification using the pattern $10658–22=10636$ which should be divisible by $22$. But it is not divisible by $22$. So it is not a perfect cube.
Now, state and verify $3365$ as being perfect or not perfect cube.

MEDIUM

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 7 - Cubes and Cube Roots>MISCELLANEOUS EXAMPLE>Q 6

We can guess the cube root of a six digit number. We can use this guess to discard non-perfect cubes. Let us guess cube root of $10658$ as $22$. Verification using the pattern $10658–22=10636$ which should be divisible by $22$. But it is not divisible by $22$. So it is not a perfect cube.
Now, state and verify $9261$ as being perfect or not perfect cube.

MEDIUM

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 7 - Cubes and Cube Roots>MISCELLANEOUS EXAMPLE>Q 6

We can guess the cube root of a six digit number. We can use this guess to discard non-perfect cubes. Let us guess cube root of $10658$ as $22$. Verification using the pattern $10658–22=10636$ which should be divisible by $22$. But it is not divisible by $22$. So it is not a perfect cube.
Now, state and verify $19683$ as being perfect or not perfect cube.

EASY

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 7 - Cubes and Cube Roots>MISCELLANEOUS EXAMPLE>Q 7

There are triplets in the factorisation of perfect cube.

EASY

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 7 - Cubes and Cube Roots>MISCELLANEOUS EXAMPLE>Q 7

The cube of a number is never equal to the number itself.