Last updated on June 2nd, 2025
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 639.
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 639 can be written as 639³, which is the exponential form. Or it can also be written in arithmetic form as, 639 × 639 × 639.
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. 639³ = 639 × 639 × 639
Step 2: You get 261,213,919 as the answer. Hence, the cube of 639 is 261,213,919.
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 639 into two parts. Let a = 630 and b = 9, so a + b = 639
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 630³
3a²b = 3 × 630² × 9
3ab² = 3 × 630 × 9²
b³ = 9³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(630 + 9)³ = 630³ + 3 × 630² × 9 + 3 × 630 × 9² + 9³
639³ = 250,047,000 + 107,370 + 15,390 + 729
639³ = 261,213,919
Step 5: Hence, the cube of 639 is 261,213,919.
To find the cube of 639 using a calculator, input the number 639 and use the cube function (if available) or multiply 639 × 639 × 639. This operation calculates the value of 639³, resulting in 261,213,919. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 6 followed by 3 and 9
Step 3: If the calculator has a cube function, press it to calculate 639³.
Step 4: If there is no cube function on the calculator, simply multiply 639 three times manually.
Step 5: The calculator will display 261,213,919.
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 639?
The cube of 639 is 261,213,919 and the cube root of 639 is approximately 8.618.
First, let’s find the cube of 639.
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 639³ = 261,213,919.
Next, we must find the cube root of 639. We know that the cube root of a number 'x' is such that ∛x = y, where 'x' is the given number, and y is the cube root value of the number.
So, we get ∛639 ≈ 8.618.
Hence the cube of 639 is 261,213,919 and the cube root of 639 is approximately 8.618.
If the side length of a cube is 639 cm, what is the volume?
The volume is 261,213,919 cm³.
Use the volume formula for a cube V = Side³.
Substitute 639 for the side length: V = 639³ = 261,213,919 cm³.
How much larger is 639³ than 630³?
639³ – 630³ = 8,279,889.
First find the cube of 639, which is 261,213,919.
Next, find the cube of 630, which is 250,047,000.
Now, find the difference between them using the subtraction method. 261,213,919 – 250,047,000 = 8,279,889.
Therefore, 639³ is 8,279,889 larger than 630³.
If a cube with a side length of 639 cm is compared to a cube with a side length of 9 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 639 cm is 261,213,919 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 639 means multiplying 639 by itself three times: 639 × 639 = 408,321, and then 408,321 × 639 = 261,213,919.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 261,213,919 cm³.
Estimate the cube 638 using the cube 639.
The cube of 638 is approximately 261,213,919.
First, identify the cube of 639, The cube of 639 is 639³ = 261,213,919.
Since 638 is only a tiny bit less than 639, the cube of 638 will be almost the same as the cube of 639.
The cube of 638 is approximately 261,213,919 because the difference between 638 and 639 is very small.
So, we can approximate the value as 261,213,919.
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.