Last updated on June 1st, 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 383.
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 383 can be written as 383³, which is the exponential form.
Or it can also be written in arithmetic form as, 383 × 383 × 383.
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 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. 383³ = 383 × 383 × 383
Step 2: You get 56,213,087 as the answer. Hence, the cube of 383 is 56,213,087.
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 383 into two parts, as 380 and 3. Let a = 380 and b = 3, so a + b = 383
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 380³ 3a²b = 3 × 380² × 3 3ab² = 3 × 380 × 3² b³ = 3³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (380 + 3)³ = 380³ + 3 × 380² × 3 + 3 × 380 × 3² + 3³ 383³ = 54,872,000 + 1,296,600 + 10,260 + 27 383³ = 56,213,087
Step 5: Hence, the cube of 383 is 56,213,087.
To find the cube of 383 using a calculator, input the number 383 and use the cube function (if available) or multiply 383 × 383 × 383. This operation calculates the value of 383³, resulting in 56,213,087. 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 8 and 3
Step 3: If the calculator has a cube function, press it to calculate 383³.
Step 4: If there is no cube function on the calculator, simply multiply 383 three times manually.
Step 5: The calculator will display 56,213,087.
There are some typical errors that might occur during the process of cubing a number. Let us take a look at five of the major mistakes that might happen:
What is the cube and cube root of 383?
The cube of 383 is 56,213,087 and the cube root of 383 is approximately 7.273.
First, let’s find the cube of 383.
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 383³ = 56,213,087.
Next, we must find the cube root of 383.
We know that the cube root of a number ‘x’ is such that ∛x = y, where ‘x’ is the given number, and y is the cube root value of the number.
So, we get ∛383 ≈ 7.273.
Hence, the cube of 383 is 56,213,087 and the cube root of 383 is approximately 7.273.
If the side length of the cube is 383 cm, what is the volume?
The volume is 56,213,087 cm³.
Use the volume formula for a cube V = Side³.
Substitute 383 for the side length: V = 383³ = 56,213,087 cm³.
How much larger is 383³ than 380³?
383³ – 380³ = 1,341,087.
First, find the cube of 383, that is 56,213,087.
Next, find the cube of 380, which is 54,872,000.
Now, find the difference between them using the subtraction method. 56,213,087 – 54,872,000 = 1,341,087.
Therefore, 383³ is 1,341,087 larger than 380³.
If a cube with a side length of 383 cm is compared to a cube with a side length of 380 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 383 cm is 56,213,087 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 383 means multiplying 383 by itself three times: 383 × 383 = 146,689, and then 146,689 × 383 = 56,213,087.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 56,213,087 cm³.
Estimate the cube 382.9 using the cube 383.
The cube of 382.9 is approximately 56,213,087.
First, identify the cube of 383.
The cube of 383 is 383³ = 56,213,087.
Since 382.9 is only a tiny bit less than 383, the cube of 382.9 will be almost the same as the cube of 383.
The cube of 382.9 is approximately 56,213,087 because the difference between 382.9 and 383 is very small.
So, we can approximate the value as 56,213,087.
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.