Which of the following numbers are not perfect cubes:

1. 216                 

2. 128            

3. 1000               

4. 100             

5. 46656

Find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube:

1. 243             

2. 256              

3. 72             

4. 675             

5. 100

Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube:

1. 81            

2. 128             

3. 135            

4. 192               

5. 704

Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm.

How many such cuboids will he need to form a cube?

Find the cube root of each of the following numbers by prime factorization method:

1. 64                      

2. 512               

3. 10648             

4. 27000              

5. 15625           

6. 13824            

7. 110592       

8. 46656            

9. 175616            

10. 91125

State true or false:

1. Cube of any odd number is even.

2. A perfect cube does not end with two zeroes.

3. If square of a number ends with 5, then its cube ends with 25.

4. There is no perfect cube which ends with 8.

5. The cube of a two-digit number may be a three-digit number.

6. The cube of a two-digit number may have seven or more digits.

7. The cube of a single digit number may be a single digit number.

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, 12167, 32768.