Podcast
Questions and Answers
What is the definition of a perfect cube?
What is the definition of a perfect cube?
- A number that has a cube root of 3
- A number that can be obtained by multiplying a number by taking it three times (correct)
- A number that can only be divided by 3
- A number that can be obtained by multiplying a number by 3
Which of the following is a perfect cube?
Which of the following is a perfect cube?
- 64
- 27 (correct)
- 36
- 49
Why is 9 not considered a perfect cube?
Why is 9 not considered a perfect cube?
- There is no natural number that multiplied by three times gives 9 (correct)
- It is an odd number
- It does not have a cube root
- It cannot be divided by 3
How many perfect cubes are there from 1 to 1000?
How many perfect cubes are there from 1 to 1000?
Are the cubes of even numbers always even?
Are the cubes of even numbers always even?
What can you say about the cubes of odd numbers?
What can you say about the cubes of odd numbers?
Which of the following numbers is not a perfect cube?
Which of the following numbers is not a perfect cube?
What is the smallest number needed to multiply 256 by to obtain a perfect cube?
What is the smallest number needed to multiply 256 by to obtain a perfect cube?
Which number must each of the following be divided by to obtain a perfect cube: 135?
Which number must each of the following be divided by to obtain a perfect cube: 135?
If Parikshit wants to form a cube with plasticine cuboids of sides 5 cm, 2 cm, 5 cm, how many cuboids will he need?
If Parikshit wants to form a cube with plasticine cuboids of sides 5 cm, 2 cm, 5 cm, how many cuboids will he need?
If the volume of a cube is 125 cm³, what is the length of its side?
If the volume of a cube is 125 cm³, what is the length of its side?
What is the cube root of 8?
What is the cube root of 8?
Which statement about cube numbers is true?
Which statement about cube numbers is true?
If the square of a number ends with 5, what can we conclude about its cube?
If the square of a number ends with 5, what can we conclude about its cube?
What is a Hardy-Ramanujan Number?
What is a Hardy-Ramanujan Number?
Can the cube of a single-digit number be another single-digit number?
Can the cube of a single-digit number be another single-digit number?
Which type of numbers may have seven or more digits when cubed?
Which type of numbers may have seven or more digits when cubed?
What is the significance of the number 1729 according to Ramanujan?
What is the significance of the number 1729 according to Ramanujan?
Why is 1729 known as the Hardy-Ramanujan Number?
Why is 1729 known as the Hardy-Ramanujan Number?
What was Ramanujan known for throughout his life?
What was Ramanujan known for throughout his life?
In geometry, what characteristic defines a cube?
In geometry, what characteristic defines a cube?
How many cubes of side 1 cm are needed to make a cube of side 2 cm?
How many cubes of side 1 cm are needed to make a cube of side 2 cm?
How many cubes of side 1 cm are needed to make a cube of side 3 cm?
How many cubes of side 1 cm are needed to make a cube of side 3 cm?
Which number should 53240 be divided by to make it a perfect cube?
Which number should 53240 be divided by to make it a perfect cube?
Is 1188 a perfect cube?
Is 1188 a perfect cube?
What is the smallest number that should multiply 68600 to make it a perfect cube?
What is the smallest number that should multiply 68600 to make it a perfect cube?
Which prime factorization indicates a number that is not a perfect cube?
Which prime factorization indicates a number that is not a perfect cube?
If a number has prime factors $3^2$, $5$, and $7^3$, is it a perfect cube?
If a number has prime factors $3^2$, $5$, and $7^3$, is it a perfect cube?
What is the result when $2^4 \times 3^3 \times 5^2$ is divided by $2^2 \times 3 \times 5$?
What is the result when $2^4 \times 3^3 \times 5^2$ is divided by $2^2 \times 3 \times 5$?
