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 635.
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 635 can be written as 635³, which is the exponential form. Or it can also be written in arithmetic form as, 635 × 635 × 635.
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. 635³ = 635 × 635 × 635
Step 2: You get 256,047,875 as the answer. Hence, the cube of 635 is 256,047,875.
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 635 into two parts, for example, 600 and 35. Let a = 600 and b = 35, so a + b = 635
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 600³
3a²b = 3 × 600² × 35
3ab² = 3 × 600 × 35²
b³ = 35³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(600 + 35)³ = 600³ + 3 × 600² × 35 + 3 × 600 × 35² + 35³
635³ = 216,000,000 + 37,800,000 + 1,102,500 + 42,875
635³ = 256,047,875
Step 5: Hence, the cube of 635 is 256,047,875.
To find the cube of 635 using a calculator, input the number 635 and use the cube function (if available) or multiply 635 × 635 × 635. This operation calculates the value of 635³, resulting in 256,047,875. 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 5
Step 3: If the calculator has a cube function, press it to calculate 635³.
Step 4: If there is no cube function on the calculator, simply multiply 635 three times manually.
Step 5: The calculator will display 256,047,875.
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 635?
The cube of 635 is 256,047,875 and the cube root of 635 is approximately 8.586.
First, let’s find the cube of 635.
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 635³ = 256,047,875.
Next, we must find the cube root of 635. 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 ∛635 ≈ 8.586.
Hence the cube of 635 is 256,047,875 and the cube root of 635 is approximately 8.586.
If the side length of the cube is 635 cm, what is the volume?
The volume is 256,047,875 cm³.
Use the volume formula for a cube V = Side³.
Substitute 635 for the side length: V = 635³ = 256,047,875 cm³.
How much larger is 635³ than 600³?
635³ – 600³ = 40,047,875.
First, find the cube of 635³, which is 256,047,875.
Next, find the cube of 600³, which is 216,000,000.
Now, find the difference between them using the subtraction method: 256,047,875 – 216,000,000 = 40,047,875.
Therefore, 635³ is 40,047,875 larger than 600³.
If a cube with a side length of 635 cm is compared to a cube with a side length of 35 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 635 cm is 256,047,875 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 635 means multiplying 635 by itself three times: 635 × 635 = 403,225, and then 403,225 × 635 = 256,047,875.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 256,047,875 cm³.
Estimate the cube 634.9 using the cube 635.
The cube of 634.9 is approximately 256,047,875.
First, identify the cube of 635, The cube of 635 is 635³ = 256,047,875.
Since 634.9 is only a tiny bit less than 635, the cube of 634.9 will be almost the same as the cube of 635.
The cube of 634.9 is approximately 256,047,875 because the difference between 634.9 and 635 is very small.
So, we can approximate the value as 256,047,875.
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.