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 in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 637.
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 637 can be written as 637³, which is the exponential form. Or it can also be written in arithmetic form as, 637 × 637 × 637.
To determine whether a number is a cube number, we can use the following three methods: the multiplication method, a factor formula (a³), or by using a calculator. These three methods will help individuals to 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 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. 637³ = 637 × 637 × 637
Step 2: You get 258,523,133 as the answer. Hence, the cube of 637 is 258,523,133.
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 637 into two parts, as a and b. Let a = 600 and b = 37, so a + b = 637
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 600³ 3a²b = 3 × 600² × 37 3ab² = 3 × 600 × 37² b³ = 37³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(600 + 37)³ = 600³ + 3 × 600² × 37 + 3 × 600 × 37² + 37³
637³ = 216,000,000 + 39,960,000 + 2,457,600 + 50,533
637³ = 258,523,133
Step 5: Hence, the cube of 637 is 258,523,133.
To find the cube of 637 using a calculator, input the number 637 and use the cube function (if available) or multiply 637 × 637 × 637. This operation calculates the value of 637³, resulting in 258,523,133. 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 7
Step 3: If the calculator has a cube function, press it to calculate 637³.
Step 4: If there is no cube function on the calculator, simply multiply 637 three times manually.
Step 5: The calculator will display 258,523,133.
There are some typical errors that individuals might make during the process of cubing a number. Let us take a look at five of the major mistakes:
What is the cube and cube root of 637?
The cube of 637 is 258,523,133 and the cube root of 637 is approximately 8.553.
First, let’s find the cube of 637.
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 637³ = 258,523,133
Next, we must find the cube root of 637 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 ∛637 ≈ 8.553
Hence, the cube of 637 is 258,523,133 and the cube root of 637 is approximately 8.553.
If the side length of the cube is 637 cm, what is the volume?
The volume is 258,523,133 cm³.
Use the volume formula for a cube V = Side³.
Substitute 637 for the side length: V = 637³ = 258,523,133 cm³.
How much larger is 637³ than 537³?
637³ – 537³ = 107,000,000.
First find the cube of 637, that is 258,523,133
Next, find the cube of 537, which is 151,523,133
Now, find the difference between them using the subtraction method. 258,523,133 – 151,523,133 = 107,000,000
Therefore, 637³ is 107,000,000 larger than 537³.
If a cube with a side length of 637 cm is compared to a cube with a side length of 137 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 637 cm is 258,523,133 cm³, which is much larger.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 637 means multiplying 637 by itself three times: 637 × 637 = 405,769, and then 405,769 × 637 = 258,523,133.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 258,523,133 cm³.
Estimate the cube 636.9 using the cube 637.
The cube of 636.9 is approximately 258,523,133.
First, identify the cube of 637, The cube of 637 is 637³ = 258,523,133.
Since 636.9 is only a tiny bit less than 637, the cube of 636.9 will be almost the same as the cube of 637.
The cube of 636.9 is approximately 258,523,133 because the difference between 636.9 and 637 is very small.
So, we can approximate the value as 258,523,133.
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.