Cubes and Cube ...

How many cubes of side 3 cm each can be packed in a cubical box with inner side of 6 cm?

The prime factorisation of a number is of the form A B C D. If A = 2 3 3, B = 3 2 7 and C = 5 5 7 2, then what will be the smallest value of D such that the product is a perfect cube?

What is the smallest number by which 8712 must be divided, so that the quotient obtained is a perfect cube?

What is the smallest number by which (2 3 6)³ (2 3)² must be divided, so that the quotient is a perfect cube?

The cube root of 753571 is of the form A B, where A and B are prime numbers. What are the values of A and B?

Amrita has a 6-digit number with her. By mistake, she erased one digit out of that number. The number remained as 571A87. What is the ten's place of the cube root of the number?

A perfect cube number is given as 10AB8. What are the respective values of A and B?

What is the value of ?

The prime factorisation of a number is 2 5 3 2 7 7 3 2 7 5 5. Which of the following is true regarding the number?

What is the smallest number which when multiplied by 3600 will give a perfect cube as the product?

Which of the following statements is/are true?
(I) Cube of any odd number is even.
(II) A perfect cube does not end with two zeroes.

Which of the following options is the same as ?

If is subtracted from the sum of , then what will be the result?

What will you get when the cube root of 19,683 is added to the square root of 324 and the resultant is divided by the cube root of 729?

If the cube root of 512 is subtracted from the square root of 961, then what will be the result?