Last updated on June 3rd, 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 333.
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 333 can be written as 333³, which is the exponential form. Or it can also be written in arithmetic form as, 333 × 333 × 333.
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 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.
333³ = 333 × 333 × 333
Step 2: You get 36,926,037 as the answer.
Hence, the cube of 333 is 36,926,037.
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 333 into two parts, as 300 and 33. Let a = 300 and b = 33, so a + b = 333
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 300³ 3a²b = 3 × 300² × 33 3ab² = 3 × 300 × 33² b³ = 33³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(300 + 33)³ = 300³ + 3 × 300² × 33 + 3 × 300 × 33² + 33³ 333³
= 27,000,000 + 8,910,000 + 980,100 + 35,937 333³
= 36,926,037
Step 5: Hence, the cube of 333 is 36,926,037.
To find the cube of 333 using a calculator, input the number 333 and use the cube function (if available) or multiply 333 × 333 × 333. This operation calculates the value of 333³, resulting in 36,926,037. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 3 followed by 3 followed by 3.
Step 3: If the calculator has a cube function, press it to calculate 333³.
Step 4: If there is no cube function on the calculator, simply multiply 333 three times manually.
Step 5: The calculator will display 36,926,037.
The cube of any even number is always even, while the cube of any odd number is always odd. The product of two or more perfect cube numbers is always a perfect cube. A perfect cube can always be expressed as the product of three identical groups of equal prime factors.
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 333?
The cube of 333 is 36,926,037 and the cube root of 333 is approximately 6.937.
First, let’s find the cube of 333.
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 333³ = 36,926,037
Next, we must find the cube root of 333
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 ∛333 ≈ 6.937
Hence the cube of 333 is 36,926,037 and the cube root of 333 is approximately 6.937.
If the side length of the cube is 333 cm, what is the volume?
The volume is 36,926,037 cm³.
Use the volume formula for a cube V = Side³.
Substitute 333 for the side length: V = 333³ = 36,926,037 cm³.
How much larger is 333³ than 300³?
333³ – 300³ = 9,926,037.
First find the cube of 333, that is 36,926,037.
Next, find the cube of 300, which is 27,000,000.
Now, find the difference between them using the subtraction method.
36,926,037 – 27,000,000 = 9,926,037
Therefore, 333³ is 9,926,037 larger than 300³.
If a cube with a side length of 333 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 333 cm is 36,926,037 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 333 means multiplying 333 by itself three times: 333 × 333 = 110,889, and then 110,889 × 333 = 36,926,037.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 36,926,037 cm³.
Estimate the cube of 332 using the cube of 333.
The cube of 332 is approximately 36,926,037.
First, identify the cube of 333.
The cube of 333 is 333³ = 36,926,037.
Since 332 is only a tiny bit less than 333, the cube of 332 will be almost the same as the cube of 333.
The cube of 332 is approximately 36,926,037 because the difference between 332 and 333 is very small.
So, we can approximate the value as 36,926,037.
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.