100 LearnersLast updated on June 3rd, 2025
Cube of 380
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 380.
Cube of 380
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 380 can be written as 380³, which is the exponential form.
Or it can also be written in arithmetic form as, 380 × 380 × 380.
How to Calculate the Value of Cube of 380
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.
- By Multiplication Method
- Using a Formula
- Using a Calculator
By Multiplication Method
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. 380³ = 380 × 380 × 380
Step 2: You get 54,872,000 as the answer. Hence, the cube of 380 is 54,872,000.
Using a Formula (a³)
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 380 into two parts. Let a = 300 and b = 80, so a + b = 380
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term: a³ = 300³ 3a²b = 3 × 300² × 80 3ab² = 3 × 300 × 80² b³ = 80³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (300 + 80)³ = 300³ + 3 × 300² × 80 + 3 × 300 × 80² + 80³ 380³ = 27,000,000 + 21,600,000 + 5,760,000 + 512,000 380³ = 54,872,000
Step 5: Hence, the cube of 380 is 54,872,000.
Using a Calculator
To find the cube of 380 using a calculator, input the number 380 and use the cube function (if available) or multiply 380 × 380 × 380. This operation calculates the value of 380³, resulting in 54,872,000. 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 0.
Step 3: If the calculator has a cube function, press it to calculate 380³.
Step 4: If there is no cube function on the calculator, simply multiply 380 three times manually.
Step 5: The calculator will display 54,872,000.
Tips and Tricks for the Cube of 380
- 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.
Common Mistakes to Avoid When Calculating the Cube of 380
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:
Mistake 1
Incorrect Multiplication
Kids might multiply the numbers only twice. That is, 380 × 380 and not 380 × 380 × 380. Always remember that 380³ = 380 × 380 × 380.
Solved Examples on Cube of 380
Problem 1
What is the cube and cube root of 380?
The cube of 380 is 54,872,000 and the cube root of 380 is approximately 7.268.
Explanation
First, let’s find the cube of 380.
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 380³ = 54,872,000 Next, we must find the cube root of 380
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 ∛380 ≈ 7.268 Hence the cube of 380 is 54,872,000 and the cube root of 380 is approximately 7.268.
Problem 2
If the side length of the cube is 380 cm, what is the volume?
The volume is 54,872,000 cm³.
Explanation
Use the volume formula for a cube V = Side³.
Substitute 380 for the side length: V = 380³ = 54,872,000 cm³.
Problem 3
How much larger is 380³ than 300³?
380³ – 300³ = 27,872,000.
Explanation
First, find the cube of 380, which is 54,872,000
Next, find the cube of 300, which is 27,000,000
Now, find the difference between them using the subtraction method. 54,872,000 – 27,000,000 = 27,872,000
Therefore, 380³ is 27,872,000 larger than 300³.
Problem 4
If a cube with a side length of 380 cm is compared to a cube with a side length of 80 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 380 cm is 54,872,000 cm³.
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 380 means multiplying 380 by itself three times: 380 × 380 = 144,400, and then 144,400 × 380 = 54,872,000.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 54,872,000 cm³.
Problem 5
Estimate the cube 379.9 using the cube 380.
The cube of 379.9 is approximately 54,872,000.
Explanation
First, identify the cube of 380,
The cube of 380 is 380³ = 54,872,000.
Since 379.9 is only a tiny bit less than 380, the cube of 379.9 will be almost the same as the cube of 380.
The cube of 379.9 is approximately 54,872,000 because the difference between 379.9 and 380 is very small.
So, we can approximate the value as 54,872,000.
FAQs on Cube of 380
1.What are the perfect cubes up to 380?
2.How do you calculate 380³?
3.What is the meaning of 380³?
4.What is the cube root of 380?
5.Is 380 a perfect cube?
6.How does learning Algebra help students in Indonesia make better decisions in daily life?
7.How can cultural or local activities in Indonesia support learning Algebra topics such as Cube of 380?
8.How do technology and digital tools in Indonesia support learning Algebra and Cube of 380?
9.Does learning Algebra support future career opportunities for students in Indonesia?
Important Glossaries for Cube of 380
- Binomial Formula: It is an algebraic expression used to expand the powers of a number, written as (a + b)ⁿ, where ‘n’ is a positive integer raised to the base. The formula is used to find the square and cube of a number.
- Cube of a Number: Multiplying a number by itself three times is called the cube of a number.
- Exponential Form: It is a way of expressing numbers using a base and an exponent (or power), where the exponent value indicates how many times the base is multiplied by itself. For example, 3³ represents 3 × 3 × 3 equals 27.
- Volume of a Cube: The amount of space inside a cube, calculated by raising the side length to the power of three (Side³).
- Perfect Cube: A number that is the cube of an integer. For example, 27 is a perfect cube because it equals 3 × 3 × 3.
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Jaskaran Singh Saluja
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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.
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