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Last updated on June 3rd, 2025

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Cube of 377

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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 377.

Cube of 377 for Vietnamese Students
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Cube of 377

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 multiplying a negative number by itself three times results in a negative number.

 

The cube of 377 can be written as 377³, which is the exponential form.

 

Or it can also be written in arithmetic form as, 377 × 377 × 377.

cube of 377

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How to Calculate the Value of Cube of 377

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 methods help people cube numbers faster and easier without feeling confused or stuck while evaluating the answers. 

 

  • By Multiplication Method 
     
  • Using a Formula 
     
  • Using a Calculator
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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. 377³ = 377 × 377 × 377

 

Step 2: You get 53,539,033 as the answer. Hence, the cube of 377 is 53,539,033.

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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 377 into two parts. Let a = 370 and b = 7, so a + b = 377

 

Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³

 

Step 3: Calculate each term a³ = 370³ 3a²b = 3 × 370² × 7 3ab² = 3 × 370 × 7² b³ = 7³

 

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (370 + 7)³ = 370³ + 3 × 370² × 7 + 3 × 370 × 7² + 7³ 377³ = 50,653,000 + 271,530 + 54,390 + 343 377³ = 53,539,033

 

Step 5: Hence, the cube of 377 is 53,539,033.

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Using a Calculator

To find the cube of 377 using a calculator, input the number 377 and use the cube function (if available) or multiply 377 × 377 × 377. This operation calculates the value of 377³, resulting in 53,539,033. 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 7 and 7

 

Step 3: If the calculator has a cube function, press it to calculate 377³.

 

Step 4: If there is no cube function on the calculator, simply multiply 377 three times manually.

 

Step 5: The calculator will display 53,539,033.

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Tips and Tricks for the Cube of 377

  • 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.
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Common Mistakes to Avoid When Calculating the Cube of 377

There are some typical errors that might be made during the process of cubing a number. Let us take a look at five of the major mistakes:

Mistake 1

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Incorrect Multiplication

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A common mistake is multiplying the numbers only twice. That is, 377 × 377 and not 377 × 377 × 377. Always remember that 377³ = 377 × 377 × 377.

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Solved Examples on Cube of 377

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Problem 1

What is the cube and cube root of 377?

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The cube of 377 is 53,539,033, and the cube root of 377 is approximately 7.215.

Explanation

First, let’s find the cube of 377.

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 377³ = 53,539,033.

Next, we must find the cube root of 377.

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 ∛377 ≈ 7.215.

Hence, the cube of 377 is 53,539,033, and the cube root of 377 is approximately 7.215.

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Problem 2

If the side length of the cube is 377 cm, what is the volume?

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The volume is 53,539,033 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 377 for the side length: V = 377³ = 53,539,033 cm³.

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Problem 3

How much larger is 377³ than 300³?

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377³ – 300³ = 31,139,033.

Explanation

First, find the cube of 377, which is 53,539,033.

Next, find the cube of 300, which is 27,000,000.

Now, find the difference between them using the subtraction method. 53,539,033 – 27,000,000 = 31,139,033.

Therefore, 377³ is 31,139,033 larger than 300³.

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Problem 4

If a cube with a side length of 377 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?

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The volume of the cube with a side length of 377 cm is 53,539,033 cm³.

Explanation

To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).

Cubing 377 means multiplying 377 by itself three times: 377 × 377 = 142,129, and then 142,129 × 377 = 53,539,033.

The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.

Therefore, the volume of the cube is 53,539,033 cm³.

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Problem 5

Estimate the cube of 376.5 using the cube of 377.

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The cube of 376.5 is approximately 53,539,033.

Explanation

First, identify the cube of 377.

The cube of 377 is 377³ = 53,539,033.

Since 376.5 is very close to 377, the cube of 376.5 will be almost the same as the cube of 377.

The cube of 376.5 is approximately 53,539,033 because the difference between 376.5 and 377 is very small.

So, we can approximate the value as 53,539,033.

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FAQs on Cube of 377

1.What are the perfect cubes up to 377?

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2.How do you calculate 377³?

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3.What is the meaning of 377³?

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4.What is the cube root of 377?

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5.Is 377 a perfect cube?

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6.How does learning Algebra help students in Vietnam make better decisions in daily life?

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7.How can cultural or local activities in Vietnam support learning Algebra topics such as Cube of 377?

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8.How do technology and digital tools in Vietnam support learning Algebra and Cube of 377?

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9.Does learning Algebra support future career opportunities for students in Vietnam?

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Important Glossaries for Cube of 377

  • Binomial Formula: 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: 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, 2³ represents 2 × 2 × 2 equals 8.
     
  • Cube Root: The number that, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3. 
     
  • Perfect Cube: A number that can be expressed as the cube of an integer.
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About BrightChamps in Vietnam

At BrightChamps, we believe algebra is more than just numbers—it’s a way to unlock countless chances! We aim to assist children across Vietnam in understanding key math concepts, like today’s focus on the Cube of 377, with a special emphasis on cubes—in a fun, clear, and engaging way. Whether your child is calculating the speed of a roller coaster at Suoi Tien Theme Park, following the scores at a local football match, or managing their allowance to buy the latest gadgets, learning algebra builds their confidence for everyday challenges. Our interactive lessons make math easy and fun. Because kids in Vietnam learn differently, we personalize our teaching to match each child’s style. From Ho Chi Minh City’s lively streets to the beautiful landscapes of Ha Long Bay, BrightChamps brings algebra to life, making it exciting and relevant throughout Vietnam. Let’s make cubes a fun part of every child’s math adventure!
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Jaskaran Singh Saluja

About the Author

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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Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.

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