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 used in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 582.
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 by itself three times results in a negative number.
The cube of 582 can be written as 582³, which is the exponential form. Or it can also be written in arithmetic form as, 582 × 582 × 582.
In order to check whether a number is a cube number or not, we can use the following three methods, such as multiplication method, a factor formula (a³), or by using a calculator. These three methods will help kids to cube the 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 two numbers or quantities 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. 582³ = 582 × 582 × 582
Step 2: You get 197,942,568 as the answer. Hence, the cube of 582 is 197,942,568.
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 582 into two parts, as 500 and 82. Let a = 500 and b = 82, so a + b = 582
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 500³
3a²b = 3 × 500² × 82
3ab² = 3 × 500 × 82²
b³ = 82³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(500 + 82)³ = 500³ + 3 × 500² × 82 + 3 × 500 × 82² + 82³
582³ = 125,000,000 + 61,500,000 + 10,086,000 + 551,368
582³ = 197,942,568
Step 5: Hence, the cube of 582 is 197,942,568.
To find the cube of 582 using a calculator, input the number 582 and use the cube function (if available) or multiply 582 × 582 × 582. This operation calculates the value of 582³, resulting in 197,942,568. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 5, 8, and 2
Step 3: If the calculator has a cube function, press it to calculate 582³.
Step 4: If there is no cube function on the calculator, simply multiply 582 three times manually.
Step 5: The calculator will display 197,942,568.
There are some typical errors that kids might make during the process of cubing a number. Let us take a look at five of the major mistakes that kids might make:
What is the cube and cube root of 582?
The cube of 582 is 197,942,568 and the cube root of 582 is approximately 8.325.
First, let’s find the cube of 582.
We know that cube of a number, such that x³ = y Where x is the given number, and y is the cubed value of that number So, we get 582³ = 197,942,568
Next, we must find the cube root of 582 We know that cube root of a number ‘x’, 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√582 ≈ 8.325
Hence the cube of 582 is 197,942,568 and the cube root of 582 is approximately 8.325.
If the side length of the cube is 582 cm, what is the volume?
The volume is 197,942,568 cm³.
Use the volume formula for a cube V = Side³.
Substitute 582 for the side length: V = 582³ = 197,942,568 cm³.
How much larger is 582³ than 500³?
582³ – 500³ = 72,942,568.
First find the cube of 582, that is 197,942,568
Next, find the cube of 500, which is 125,000,000
Now, find the difference between them using the subtraction method.
197,942,568 – 125,000,000 = 72,942,568
Therefore, 582³ is 72,942,568 larger than 500³.
If a cube with a side length of 582 cm is compared to a cube with a side length of 82 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 582 cm is 197,942,568 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 582 means multiplying 582 by itself three times: 582 × 582 = 338,724, and then 338,724 × 582 = 197,942,568.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 197,942,568 cm³.
Estimate the cube of 581.9 using the cube of 582.
The cube of 581.9 is approximately 197,942,568.
First, identify the cube of 582, The cube of 582 is 582³ = 197,942,568.
Since 581.9 is only a tiny bit less than 582, the cube of 581.9 will be almost the same as the cube of 582.
The cube of 581.9 is approximately 197,942,568 because the difference between 581.9 and 582 is very small.
So, we can approximate the value as 197,942,568.
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.