What is the first 3 digit cube number?

A cube number is the result of multiplying an integer by itself twice. In other words, it is the number raised to the power of 3. For example, 2^3 is equal to 8.

To find the first 3 digit cube number, we need to determine the smallest cube number that has 3 digits in its representation.

We can start by taking the cube root of the smallest 3-digit number, which is 100. Taking the cube root of 100 gives us approximately 4.64.

We can then round down this value to the nearest integer, giving us 4. This means that 4^3 is equal to 64, which is less than 100.

We can continue this process by incrementing the integer and finding its cube until we find the first cube number that exceeds 100.

By doing this, we find that the first 3-digit cube number is 125. Calculating 5^3 gives us 125, which is the smallest cube number with 3 digits in its representation.

Therefore, the first 3-digit cube number is 125.

What are the first three cube numbers?

What are the first three cube numbers?

The first three cube numbers are 1, 8, and 27.

A cube number is a number that is obtained by multiplying an integer by itself and then multiplying the result by itself again.

For example, 1 cubed is 1 x 1 x 1 = 1.

8 is the cube of 2 because 2 x 2 x 2 = 8.

Lastly, 27 is the cube of 3 because 3 x 3 x 3 = 27.

These are the first three cube numbers, but there are many more to explore.

What are all the three digit cube numbers?

In mathematics, a cube number is a number that can be expressed as the cube of an integer. To find all the three digit cube numbers, we need to find the numbers whose cube is between 100 and 999.

One of the possible three digit cube numbers is 125. 5 cubed equals 125, and as 125 falls between 100 and 999, it is a three digit cube number.

Another three digit cube number is 216. 6 cubed equals 216, and it is also between 100 and 999.

343 is yet another three digit cube number. The cube of 7 is 343, which falls within the range of three digit numbers.

Now, let's consider 512. The cube of 8 is 512, making it a three digit cube number.

729 is the last three digit cube number. The cube of 9 is 729, and it falls within the desired range of three digit numbers.

So, to summarize, the three digit cube numbers are 125, 216, 343, 512, and 729.

What is the cube number 3?

The cube number 3 is the result of raising the number 3 to the power of 3. In mathematical terms, it can be expressed as 3^3. This means that the cube of 3 is 27.

When we cube a number, we are multiplying it by itself twice. In the case of 3^3, we multiply 3 by 3 and then multiply the result by 3 again. This gives us the final value of 27.

The concept of cubic numbers is an important one in mathematics. Cubes have three dimensions, which means they have length, width, and height. This is in contrast to square numbers, which only have two dimensions. The volume of a cube can be calculated by multiplying its side length by itself twice.

The cube of 3, or 3^3, represents a perfect cube. A perfect cube is a number that can be obtained by multiplying an integer by itself twice. In the case of 3, the integer is 3 itself. So, 3*3*3 = 27, making 27 a perfect cube.

In summary, the cube of 3 is 27. It is obtained by multiplying 3 by itself twice. Cubes have three dimensions and can be used to calculate the volume of a cube-shaped object. The number 27 is a perfect cube since it can be obtained by multiplying 3 by itself twice.

What is a 3 digit perfect cube?

A 3 digit perfect cube is a number that results from raising an integer to the power of 3 and falls between 100 and 999, inclusive. In other words, it is a number between 100 and 999 that can be expressed as the cube of an integer.

For example, the number 125 is a 3 digit perfect cube because it can be written as 5^3. On the other hand, the number 1000 is not a 3 digit perfect cube since it is greater than 999.

There are several ways to determine if a number is a 3 digit perfect cube. One method is to find its cube root and check if the result is an integer. If the cube root is an integer, then the number is a perfect cube. Additionally, the number can be checked by calculating the cube of integers between 4 and 9 and seeing if any of them fall within the range of 100 to 999.

Knowing if a number is a 3 digit perfect cube can be useful in various mathematical applications. For example, it can be used to solve mathematical problems, calculate volumes of cuboids, or in algebraic equations. It is also helpful in understanding patterns and relationships between numbers.

In conclusion, a 3 digit perfect cube is a number between 100 and 999 that can be expressed as the cube of an integer. It can be identified by finding its cube root or by calculating the cubes of integers within a specific range. Understanding and recognizing 3 digit perfect cubes is important in various mathematical applications and problem-solving.