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 644.
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 644 can be written as 644³, which is the exponential form. Or it can also be written in arithmetic form as 644 × 644 × 644.
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. 644³ = 644 × 644 × 644
Step 2: You get 266,491,584 as the answer. Hence, the cube of 644 is 266,491,584.
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 644 into two parts. Let a = 640 and b = 4, so a + b = 644
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 640³
3a²b = 3 × 640² × 4
3ab² = 3 × 640 × 4²
b³ = 4³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(640 + 4)³ = 640³ + 3 × 640² × 4 + 3 × 640 × 4² + 4³
644³ = 262,144,000 + 4,915,200 + 30,720 + 64
644³ = 266,491,584
Step 5: Hence, the cube of 644 is 266,491,584.
To find the cube of 644 using a calculator, input the number 644 and use the cube function (if available) or multiply 644 × 644 × 644. This operation calculates the value of 644³, resulting in 266,491,584. 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 4, 4
Step 3: If the calculator has a cube function, press it to calculate 644³.
Step 4: If there is no cube function on the calculator, simply multiply 644 three times manually.
Step 5: The calculator will display 266,491,584.
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 644?
The cube of 644 is 266,491,584 and the cube root of 644 is approximately 8.637.
First, let’s find the cube of 644.
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 644³ = 266,491,584
Next, we must find the cube root of 644 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 ∛644 ≈ 8.637
Hence, the cube of 644 is 266,491,584 and the cube root of 644 is approximately 8.637.
If the side length of the cube is 644 cm, what is the volume?
The volume is 266,491,584 cm³.
Use the volume formula for a cube V = Side³.
Substitute 644 for the side length: V = 644³ = 266,491,584 cm³.
How much larger is 644³ than 320³?
644³ – 320³ = 258,331,584.
First, find the cube of 644, which is 266,491,584
Next, find the cube of 320, which is 32,768,000
Now, find the difference between them using the subtraction method.
266,491,584 – 32,768,000 = 233,723,584
Therefore, 644³ is 233,723,584 larger than 320³.
If a cube with a side length of 644 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 644 cm is 266,491,584 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 644 means multiplying 644 by itself three times: 644 × 644 = 414,736, and then 414,736 × 644 = 266,491,584.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 266,491,584 cm³.
Estimate the cube 643.9 using the cube 644.
The cube of 643.9 is approximately 266,491,584.
First, identify the cube of 644, The cube of 644 is 644³ = 266,491,584.
Since 643.9 is only a tiny bit less than 644, the cube of 643.9 will be almost the same as the cube of 644.
The cube of 643.9 is approximately 266,491,584 because the difference between 643.9 and 644 is very small.
So, we can approximate the value as 266,491,584.
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.