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 when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 638.
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 638 can be written as 638³, which is the exponential form. Or it can also be written in arithmetic form as 638 × 638 × 638.
To determine whether a number is a cube number or not, we can use the following three methods: the multiplication method, a factor formula (a³), or by using a calculator. These three methods help us 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 or quantities by combining them through repeated multiplication. It is a fundamental operation that forms the basis for more complex mathematical concepts.
Step 1: Write down the cube of the given number. 638³ = 638 × 638 × 638
Step 2: You get 259,459,192 as the answer. Hence, the cube of 638 is 259,459,192.
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 638 into two parts. Let a = 630 and b = 8, so a + b = 638
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 630³
3a²b = 3 × 630² × 8
3ab² = 3 × 630 × 8²
b³ = 8³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(630 + 8)³ = 630³ + 3 × 630² × 8 + 3 × 630 × 8² + 8³
638³ = 250,047,000 + 95,040 + 12,096 + 512
638³ = 259,459,192
Step 5: Hence, the cube of 638 is 259,459,192.
To find the cube of 638 using a calculator, input the number 638 and use the cube function (if available) or multiply 638 × 638 × 638. This operation calculates the value of 638³, resulting in 259,459,192. 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 8.
Step 3: If the calculator has a cube function, press it to calculate 638³.
Step 4: If there is no cube function on the calculator, simply multiply 638 three times manually.
Step 5: The calculator will display 259,459,192.
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 638?
The cube of 638 is 259,459,192 and the cube root of 638 is 8.594.
First, let’s find the cube of 638.
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 638³ = 259,459,192.
Next, we must find the cube root of 638. 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√638 = 8.594
Hence, the cube of 638 is 259,459,192 and the cube root of 638 is approximately 8.594.
If the side length of the cube is 638 cm, what is the volume?
The volume is 259,459,192 cm³.
Use the volume formula for a cube V = Side³.
Substitute 638 for the side length: V = 638³ = 259,459,192 cm³.
How much larger is 638³ than 628³?
638³ – 628³ = 37,790,072.
First, find the cube of 638³, which is 259,459,192.
Next, find the cube of 628³, which is 221,669,120.
Now, find the difference between them using the subtraction method. 259,459,192 – 221,669,120 = 37,790,072.
Therefore, 638³ is 37,790,072 larger than 628³.
If a cube with a side length of 638 cm is compared to a cube with a side length of 38 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 638 cm is 259,459,192 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 638 means multiplying 638 by itself three times: 638 × 638 = 407,044, and then 407,044 × 638 = 259,459,192.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 259,459,192 cm³.
Estimate the cube of 637.9 using the cube of 638.
The cube of 637.9 is approximately 259,459,192.
First, identify the cube of 638, The cube of 638 is 638³ = 259,459,192.
Since 637.9 is only a tiny bit less than 638, the cube of 637.9 will be almost the same as the cube of 638.
The cube of 637.9 is approximately 259,459,192 because the difference between 637.9 and 638 is very small.
So, we can approximate the value as 259,459,192.
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.