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 the sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 636.
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 636 can be written as 636³, which is the exponential form. Or it can also be written in arithmetic form as, 636 × 636 × 636.
To check whether a number is a cube number or not, we can use the following three methods, such as the 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. 636³ = 636 × 636 × 636
Step 2: You get 257,698,064 as the answer. Hence, the cube of 636 is 257,698,064.
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 636 into two parts, as 600 and 36. Let a = 600 and b = 36, so a + b = 636
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 600³
3a²b = 3 × 600² × 36
3ab² = 3 × 600 × 36²
b³ = 36³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³
(600 + 36)³ = 600³ + 3 × 600² × 36 + 3 × 600 × 36² + 36³
636³ = 216,000,000 + 38,880,000 + 23,328,000 + 46,656
636³ = 257,698,064
Step 5: Hence, the cube of 636 is 257,698,064.
To find the cube of 636 using a calculator, input the number 636 and use the cube function (if available) or multiply 636 × 636 × 636. This operation calculates the value of 636³, resulting in 257,698,064. 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 then 6.
Step 3: If the calculator has a cube function, press it to calculate 636³.
Step 4: If there is no cube function on the calculator, simply multiply 636 three times manually.
Step 5: The calculator will display 257,698,064.
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 636?
The cube of 636 is 257,698,064 and the cube root of 636 is approximately 8.587.
First, let’s find the cube of 636.
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 636³ = 257,698,064
Next, we must find the cube root of 636 We know that 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 ∛636 ≈ 8.587 Hence the cube of 636 is 257,698,064 and the cube root of 636 is approximately 8.587.
If the side length of the cube is 636 cm, what is the volume?
The volume is 257,698,064 cm³.
Use the volume formula for a cube V = Side³.
Substitute 636 for the side length: V = 636³ = 257,698,064 cm³.
How much larger is 636³ than 600³?
636³ – 600³ = 41,698,064.
First find the cube of 636³, that is 257,698,064
Next, find the cube of 600³, which is 216,000,000
Now, find the difference between them using the subtraction method.
257,698,064 – 216,000,000 = 41,698,064
Therefore, 636³ is 41,698,064 larger than 600³.
If a cube with a side length of 636 cm is compared to a cube with a side length of 36 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 636 cm is 257,698,064 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 636 means multiplying 636 by itself three times: 636 × 636 = 404,496, and 404,496 × 636 = 257,698,064.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 257,698,064 cm³.
Estimate the cube 635 using the cube 636.
The cube of 635 is approximately 257,698,064.
First, identify the cube of 636, The cube of 636 is 636³ = 257,698,064.
Since 635 is only a tiny bit less than 636, the cube of 635 will be almost the same as the cube of 636.
The cube of 635 is approximately 257,698,064 because the difference between 635 and 636 is very small.
So, we can approximate the value as 257,698,064.
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.