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 when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 587.
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 587 can be written as 587³, which is the exponential form. Or it can also be written in arithmetic form as, 587 × 587 × 587.
In order 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 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. 587³ = 587 × 587 × 587
Step 2: You get 202,262,363 as the answer. Hence, the cube of 587 is 202,262,363.
The formula (a + b)³is a binomial formula for finding the cube of a number. The formula is expanded as (a³ + 3a²b + 3ab² + b³).
Step 1: Split the number 587 into two parts. Let a = 500 and b = 87, so a + b = 587.
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³.
Step 3: Calculate each term: (a³ = 500³)
3a²b = 3 × 500² × 87
3ab² = 3 × 500 × 87²
b³ = 87³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³)
(500 + 87)³ = 500³ + 3 × 500² × 87 + 3 × 500 × 87² + 87³
587³ = 125,000,000 + 65,250,000 + 11,353,500 + 658,503
587³ = 202,262,363
Step 5: Hence, the cube of 587 is 202,262,363.
To find the cube of 587 using a calculator, input the number 587 and use the cube function (if available) or multiply 587 × 587 × 587. This operation calculates the value of 587³, resulting in 202,262,363. 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 7
Step 3: If the calculator has a cube function, press it to calculate 587³.
Step 4: If there is no cube function on the calculator, simply multiply 587 three times manually.
Step 5: The calculator will display 202,262,363.
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 587?
The cube of 587 is 202,262,363 and the cube root of 587 is approximately 8.3666.
First, let’s find the cube of 587.
We know that the 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 587³ = 202,262,363.
Next, we must find the cube root of 587. We know that the cube root of a number x, such that ∛x= y", Where x is the given number, and y is the cube root value of the number.
So, we get (∛587 ≈ 8.3666).
Hence the cube of 587 is 202,262,363 and the cube root of 587 is approximately 8.3666.
If the side length of the cube is 587 cm, what is the volume?
The volume is 202,262,363 cm³.
Use the volume formula for a cube V = Side³
Substitute 587 for the side length: V = 587³ = 202,262,363cm³.
How much larger is 587³ than 487³?
587³ – 487³ = 134,342,363.
First, find the cube of 587³, which is 202,262,363.
Next, find the cube of 487³, which is 67,920,000.
Now, find the difference between them using the subtraction method.
202,262,363 – 67,920,000 = 134,342,363.
Therefore, 587³ is 134,342,363 larger than 487³.
If a cube with a side length of 587 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 587 cm is 202,262,363 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 587 means multiplying 587 by itself three times: 587 × 587 = 344,569, and then 344,569 × 587 = 202,262,363.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 202,262,363 cm³.
Estimate the cube of 586.9 using the cube of 587.
The cube of 586.9 is approximately 202,262,363.
First, identify the cube of 587.
The cube of 587 is 587³ = 202,262,363.
Since 586.9 is only a tiny bit less than 587, the cube of 586.9 will be almost the same as the cube of 587.
The cube of 586.9 is approximately 202,262,363 because the difference between 586.9 and 587 is very small.
So, we can approximate the value as 202,262,363.
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.