Last updated on May 29th, 2025
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is useful in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 589.
A cube number is a value obtained by raising a number to the power of 3 or by multiplying the number by itself three times. When you cube a positive number, the result is always positive. When you cube a negative number, the result is always negative. This is because a negative number multiplied by itself three times results in a negative number.
The cube of 589 can be written as 589³, which is the exponential form. Or it can also be written in arithmetic form as 589 × 589 × 589.
To check whether a number is a cube number or not, we can use the following three methods: multiplication method, a factor formula (a³), or by using a calculator. These three methods will help you cube numbers faster and easier without feeling confused or stuck while evaluating the answers.
The multiplication method is a process in mathematics used to find the product of numbers by combining them through repeated addition. It is a fundamental operation that forms the basis for more complex mathematical concepts.
Step 1: Write down the cube of the given number. 589³ = 589 × 589 × 589
Step 2: You get 204,303,269 as the answer. Hence, the cube of 589 is 204,303,269.
The formula (a + b)³ is a binomial formula for finding the cube of a number. The formula is expanded as a³ + 3a²b + 3ab² + b³.
Step 1: Split the number 589 into two parts, as 500 and 89. Let a = 500 and b = 89, so a + b = 589
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 500³
3a²b = 3 × 500² × 89
3ab² = 3 × 500 × 89²
b³ = 89³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(500 + 89)³ = 500³ + 3 × 500² × 89 + 3 × 500 × 89² + 89³
589³ = 125,000,000 + 66,750,000 + 11,880,500 + 704,969
589³ = 204,303,269
Step 5: Hence, the cube of 589 is 204,303,269.
To find the cube of 589 using a calculator, input the number 589 and use the cube function (if available) or multiply 589 × 589 × 589. This operation calculates the value of 589³, resulting in 204,303,269. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Enter 589
Step 3: If the calculator has a cube function, press it to calculate 589³.
Step 4: If there is no cube function on the calculator, simply multiply 589 three times manually.
Step 5: The calculator will display 204,303,269.
There are some typical errors that might occur during the process of cubing a number. Let us take a look at five of the major mistakes that might happen:
What is the cube and cube root of 589?
The cube of 589 is 204,303,269 and the cube root of 589 is approximately 8.368.
First, let’s find the cube of 589.
We know that the cube of a number is such that x³ = y, where x is the given number, and y is the cubed value of that number.
So, we get 589³ = 204,303,269
Next, we must find the cube root of 589. We know that the cube root of a number 'x' is such that ³√x = y, where 'x' is the given number, and y is the cube root value of the number.
So, we get ³√589 ≈ 8.368
Hence, the cube of 589 is 204,303,269 and the cube root of 589 is approximately 8.368.
If the side length of a cube is 589 cm, what is the volume?
The volume is 204,303,269 cm³.
Use the volume formula for a cube V = Side³.
Substitute 589 for the side length: V = 589³ = 204,303,269 cm³.
How much larger is 589³ than 500³?
589³ – 500³ = 79,303,269.
First, find the cube of 589, which is 204,303,269
Next, find the cube of 500, which is 125,000,000.
Now, find the difference between them using the subtraction method.
204,303,269 – 125,000,000 = 79,303,269
Therefore, 589³ is 79,303,269 larger than 500³.
If a cube with a side length of 589 cm is compared to a cube with a side length of 89 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 589 cm is 204,303,269 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 589 means multiplying 589 by itself three times: 589 × 589 = 346,921, and then 346,921 × 589 = 204,303,269.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 204,303,269 cm³.
Estimate the cube of 588.9 using the cube of 589.
The cube of 588.9 is approximately 204,303,269.
First, identify the cube of 589, The cube of 589 is 589³ = 204,303,269.
Since 588.9 is only a tiny bit less than 589, the cube of 588.9 will be almost the same as the cube of 589.
The cube of 588.9 is approximately 204,303,269 because the difference between 588.9 and 589 is very small.
So, we can approximate the value as 204,303,269.
Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.
: He loves to play the quiz with kids through algebra to make kids love it.