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 634.
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 634 can be written as 634³, which is the exponential form. Or it can also be written in arithmetic form as, 634 × 634 × 634.
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. 634³ = 634 × 634 × 634
Step 2: You get 254,803,304 as the answer. Hence, the cube of 634 is 254,803,304.
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 634 into two parts, as 600 and 34. Let a = 600 and b = 34, so a + b = 634
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 600³
3a²b = 3 × 600² × 34
3ab² = 3 × 600 × 34²
b³ = 34³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(600 + 34)³ = 600³ + 3 × 600² × 34 + 3 × 600 × 34² + 34³
634³ = 216,000,000 + 36,720,000 + 2,323,200 + 39,304
634³ = 254,803,304
Step 5: Hence, the cube of 634 is 254,803,304.
To find the cube of 634 using a calculator, input the number 634 and use the cube function (if available) or multiply 634 × 634 × 634. This operation calculates the value of 634³, resulting in 254,803,304. 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 4
Step 3: If the calculator has a cube function, press it to calculate 634³.
Step 4: If there is no cube function on the calculator, simply multiply 634 three times manually.
Step 5: The calculator will display 254,803,304.
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 634?
The cube of 634 is 254,803,304 and the cube root of 634 is approximately 8.558.
First, let’s find the cube of 634.
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 634³ = 254,803,304
Next, we must find the cube root of 634 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 ∛634 ≈ 8.558
Hence the cube of 634 is 254,803,304 and the cube root of 634 is approximately 8.558.
If the side length of the cube is 634 cm, what is the volume?
The volume is 254,803,304 cm³.
Use the volume formula for a cube V = Side³.
Substitute 634 for the side length: V = 634³ = 254,803,304 cm³.
How much larger is 634³ than 600³?
634³ – 600³ = 38,803,304.
First, find the cube of 634³, that is 254,803,304
Next, find the cube of 600³, which is 216,000,000
Now, find the difference between them using the subtraction method. 254,803,304 – 216,000,000 = 38,803,304
Therefore, 634³ is 38,803,304 larger than 600³.
If a cube with a side length of 634 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 634 cm is 254,803,304 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 634 means multiplying 634 by itself three times: 634 × 634 = 402,276, and then 402,276 × 634 = 254,803,304.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 254,803,304 cm³.
Estimate the cube 633.9 using the cube 634.
The cube of 633.9 is approximately 254,803,304.
First, identify the cube of 634, The cube of 634 is 634³ = 254,803,304.
Since 633.9 is only a tiny bit less than 634, the cube of 633.9 will be almost the same as the cube of 634.
The cube of 633.9 is approximately 254,803,304 because the difference between 633.9 and 634 is very small.
So, we can approximate the value as 254,803,304.
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.