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 when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 381.
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 381 can be written as 381³, which is the exponential form.
Or it can also be written in arithmetic form as, 381 × 381 × 381.
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. 381³ = 381 × 381 × 381
Step 2: You get 55,374,141 as the answer. Hence, the cube of 381 is 55,374,141.
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 381 into two parts, as 300 and 81. Let a = 300 and b = 81, so a + b = 381
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 300³ 3a²b = 3 × 300² × 81 3ab² = 3 × 300 × 81² b³ = 81³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (300 + 81)³ = 300³ + 3 × 300² × 81 + 3 × 300 × 81² + 81³ 381³ = 27,000,000 + 21,870,000 + 5,899,800 + 531,441 381³ = 55,374,141
Step 5: Hence, the cube of 381 is 55,374,141.
To find the cube of 381 using a calculator, input the number 381 and use the cube function (if available) or multiply 381 × 381 × 381. This operation calculates the value of 381³, resulting in 55,374,141. 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 1
Step 3: If the calculator has a cube function, press it to calculate 381³.
Step 4: If there is no cube function on the calculator, simply multiply 381 three times manually.
Step 5: The calculator will display 55,374,141.
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 381?
The cube of 381 is 55,374,141 and the cube root of 381 is approximately 7.283.
First, let’s find the cube of 381.
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 381³ = 55,374,141
Next, we must find the cube root of 381
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 ∛381 ≈ 7.283
Hence the cube of 381 is 55,374,141 and the cube root of 381 is approximately 7.283.
If the side length of the cube is 381 cm, what is the volume?
The volume is 55,374,141 cm³.
Use the volume formula for a cube V = Side³.
Substitute 381 for the side length: V = 381³ = 55,374,141 cm³.
How much larger is 381³ than 300³?
381³ – 300³ = 28,374,141.
First, find the cube of 381³, that is 55,374,141
Next, find the cube of 300³, which is 27,000,000
Now, find the difference between them using the subtraction method. 55,374,141 – 27,000,000 = 28,374,141
Therefore, 381³ is 28,374,141 larger than 300³.
If a cube with a side length of 381 cm is compared to a cube with a side length of 81 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 381 cm is 55,374,141 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 381 means multiplying 381 by itself three times: 381 × 381 = 145,161, and then 145,161 × 381 = 55,374,141.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 55,374,141 cm³.
Estimate the cube 380.9 using the cube 381.
The cube of 380.9 is approximately 55,374,141.
First, identify the cube of 381,
The cube of 381 is 381³ = 55,374,141. Since 380.9 is only a tiny bit less than 381, the cube of 380.9 will be almost the same as the cube of 381.
The cube of 380.9 is approximately 55,374,141 because the difference between 380.9 and 381 is very small.
So, we can approximate the value as 55,374,141.
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.