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It is not clear whether or not "between" is to be consider to include either or both of those two numbers. In any case, the solution is not too different in each case.

Let's assume that the perfect cube being sought is strictly smaller than the larger of the two numbers given. We take the cube root of that number and round it downward to the nearest integer and then cube it. If that number is greater than (or equal in case "between" is inclusive) to the smaller of the two numbers, then that is the perfect cube being sought. If it is smaller than the smaller of the two numbers, there is no such perfect cube.

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How many cube numbers are 2000 and 4000?

To find how many cube numbers are between 2000 and 4000, we first calculate the cube roots of these numbers. The cube root of 2000 is approximately 12.6, and the cube root of 4000 is approximately 15.9. The integer cube numbers within this range correspond to 13, 14, and 15, which are (13^3 = 2197), (14^3 = 2744), and (15^3 = 3375). Therefore, there are three cube numbers between 2000 and 4000.


How do you find a perfect cube?

To find a number that is a perfect cube, take an integer, mulitply it by itself and again. The answer is a perfect cube. Thus n * n * n To find a perfect cube as a 3 dimensional object is not possible. It is a concept that can exist only in your imagination. Any physical representation is bound to have microscopic (or smaller) flaws - certainly at the sub-atomic level.


How can you find irrational number between any two number?

There are infinitely many irrational numbers between any two numbers - rational or irrational.Suppose x and y are two irrational numbers.Consider x2 and y2. Is there any integer between them that is not a perfect square? If so, the square root of that number is an irrational between x and y.If not, consider x3 and y3 and look for an integer between them that is not a perfect cube. If there is then the cube root of that number will meet your requirements.If not, try x4 and y4 and then x5 and y5 etc. In a school exercise you are extremely unlikely to have to go as far as the cubes!


Formula for volume of a cube?

Length X Width X Height Or if it's a perfect cube, just find one side and cube it.


What is a perfect square and perfect cubed number?

To find a number that is both a perfect square and a perfect cube, we must solve x2 = x3 over x ∈Z+. The only two solutions to this equation are 0 and 1, or x = {0,1}. Therefore, zero and one are the only two numbers that are both perfect squares and perfect cubes. --In easier terms: a perfect square is a number that can be "square rooted" and have no remainder. Like, 144. The square root is 12 therefore 144 is a perfect square. A perfect Cube is the same except that it must be "cubed rooted". Like 27. The cube root of this number is 3 therefore 27 is a perfect cube.

Related Questions

What are all the numbers from 1 to 1000 are perfect cube numbers?

To find all the perfect cube numbers from 1 to 1000, we need to determine the cube root of each number and check if it is an integer. The cube root of a number x is denoted as x^(1/3). We can find that the perfect cube numbers from 1 to 1000 are 1, 8, 27, 64, 125, 216, 343, 512, and 729. These numbers are the cubes of 1, 2, 3, 4, 5, 6, 7, 8, and 9 respectively.


How many cube numbers are 2000 and 4000?

To find how many cube numbers are between 2000 and 4000, we first calculate the cube roots of these numbers. The cube root of 2000 is approximately 12.6, and the cube root of 4000 is approximately 15.9. The integer cube numbers within this range correspond to 13, 14, and 15, which are (13^3 = 2197), (14^3 = 2744), and (15^3 = 3375). Therefore, there are three cube numbers between 2000 and 4000.


what are th cube numbers between 50 and 100?

Cube numbers are numbers that can be expressed as the cube (third power) of an integer. To find the cube numbers between 50 and 100, you can calculate the cubes of integers from 4 to 5. The cube of 4 is 4^3 = 4 x 4 x 4 = 64. The cube of 5 is 5^3 = 5 x 5 x 5 = 125. So, the cube numbers between 50 and 100 are 64 and 125. However, since 125 is greater than 100, it is not within the specified range. Therefore, the only cube number between 50 and 100 is 64.


How do you find a perfect cube?

To find a number that is a perfect cube, take an integer, mulitply it by itself and again. The answer is a perfect cube. Thus n * n * n To find a perfect cube as a 3 dimensional object is not possible. It is a concept that can exist only in your imagination. Any physical representation is bound to have microscopic (or smaller) flaws - certainly at the sub-atomic level.


How can you find irrational number between any two number?

There are infinitely many irrational numbers between any two numbers - rational or irrational.Suppose x and y are two irrational numbers.Consider x2 and y2. Is there any integer between them that is not a perfect square? If so, the square root of that number is an irrational between x and y.If not, consider x3 and y3 and look for an integer between them that is not a perfect cube. If there is then the cube root of that number will meet your requirements.If not, try x4 and y4 and then x5 and y5 etc. In a school exercise you are extremely unlikely to have to go as far as the cubes!


How do you find the perfect cube of a number?

juss countt all the sides'xx !


Formula for volume of a cube?

Length X Width X Height Or if it's a perfect cube, just find one side and cube it.


What is a perfect square and perfect cubed number?

To find a number that is both a perfect square and a perfect cube, we must solve x2 = x3 over x ∈Z+. The only two solutions to this equation are 0 and 1, or x = {0,1}. Therefore, zero and one are the only two numbers that are both perfect squares and perfect cubes. --In easier terms: a perfect square is a number that can be "square rooted" and have no remainder. Like, 144. The square root is 12 therefore 144 is a perfect square. A perfect Cube is the same except that it must be "cubed rooted". Like 27. The cube root of this number is 3 therefore 27 is a perfect cube.


What is the largest perfect cube factor of 189?

To find the largest perfect cube factor of 189, we first need to factor it into its prime components. The prime factorization of 189 is (3^3 \times 7^1). The largest perfect cube that can be formed from these factors is (3^3), which equals 27. Therefore, the largest perfect cube factor of 189 is 27.


How many perfect cubes are between 1 to 10000?

Including 1, there are 21 perfect cubes between one and ten thousand. These are: 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, 1331, 1728, 2197, 2744, 3375, 4096, 4913, 5832, 6859, 8000, 9261.


A cube number between 400 and 600?

To find a cube number between 400 and 600, we need to calculate the cube root of the two limits. The cube root of 400 is approximately 7.37, and the cube root of 600 is approximately 8.66. Therefore, the cube numbers between 400 and 600 are the cubes of integers between 8 and 7, inclusive. The cube of 8 is 512, which falls within the range specified.


Find the cube root of the product of the numbers 343 and 512?

56