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 cubes of 633.
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 633 can be written as 633³, which is the exponential form. Or it can also be written in arithmetic form as, 633 × 633 × 633.
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. 633³ = 633 × 633 × 633
Step 2: You get 253,757,637 as the answer. Hence, the cube of 633 is 253,757,637.
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 633 into two parts. Let a = 600 and b = 33, so a + b = 633
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 600³
3a²b = 3 × 600² × 33
3ab² = 3 × 600 × 33²
b³ = 33³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(600 + 33)³ = 600³ + 3 × 600² × 33 + 3 × 600 × 33² + 33³
633³ = 216,000,000 + 35,640,000 + 1,958,400 + 35,937
633³ = 253,757,637
Step 5: Hence, the cube of 633 is 253,757,637.
To find the cube of 633 using a calculator, input the number 633 and use the cube function (if available) or multiply 633 × 633 × 633. This operation calculates the value of 633³, resulting in 253,757,637. 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 3
Step 3: If the calculator has a cube function, press it to calculate 633³.
Step 4: If there is no cube function on the calculator, simply multiply 633 three times manually.
Step 5: The calculator will display 253,757,637.
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 633?
The cube of 633 is 253,757,637, and the cube root of 633 is approximately 8.574.
First, let’s find the cube of 633.
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 633³ = 253,757,637
Next, we must find the cube root of 633 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 ∛633 = 8.574
Hence the cube of 633 is 253,757,637, and the cube root of 633 is approximately 8.574.
If the side length of the cube is 633 cm, what is the volume?
The volume is 253,757,637 cm³.
Use the volume formula for a cube V = Side³.
Substitute 633 for the side length: V = 633³ = 253,757,637 cm³.
How much larger is 633³ than 533³?
633³ – 533³ = 143,783,637.
First, find the cube of 633, that is 253,757,637
Next, find the cube of 533, which is 109,974,000
Now, find the difference between them using the subtraction method. 253,757,637 – 109,974,000 = 143,783,637
Therefore, the 633³ is 143,783,637 larger than 533³.
If a cube with a side length of 633 cm is compared to a cube with a side length of 133 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 633 cm is 253,757,637 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 633 means multiplying 633 by itself three times: 633 × 633 = 400,689, and then 400,689 × 633 = 253,757,637.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 253,757,637 cm³.
Estimate the cube of 632.9 using the cube of 633.
The cube of 632.9 is approximately 253,757,637.
First, identify the cube of 633, The cube of 633 is 633³ = 253,757,637.
Since 632.9 is only a tiny bit less than 633, the cube of 632.9 will be almost the same as the cube of 633.
The cube of 632.9 is approximately 253,757,637 because the difference between 632.9 and 633 is very small.
So, we can approximate the value as 253,757,637.
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.