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Last updated on May 29th, 2025

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Cube of 370

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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 when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 370.

Cube of 370 for Filipino Students
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Cube of 370

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 370 can be written as 370³, which is the exponential form.

 

Or it can also be written in arithmetic form as, 370 × 370 × 370.

cube of 370

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How to Calculate the Value of Cube of 370

To determine whether a number is a cube number or not, we can use three methods: multiplication method, a factor formula (a³), or by using a calculator. These methods help calculate cubes faster and easier without confusion.

 

  • 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 numbers 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. 370³ = 370 × 370 × 370

 

Step 2: You get 50,653,000 as the answer. Hence, the cube of 370 is 50,653,000.

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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 370 into two parts. Let a = 350 and b = 20, so a + b = 370

 

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

 

Step 3: Calculate each term a³= 350³ 3a²b = 3 × 350² × 20 3ab² = 3 × 350 × 20² b³ = 20³

 

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (350 + 20)³ = 350³ + 3 × 350² × 20 + 3 × 350 × 20² + 20³ 370³ = 42,875,000 + 7,350,000 + 735,000 + 8,000 370³ = 50,653,000

 

Step 5: Hence, the cube of 370 is 50,653,000.

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Using a Calculator

To find the cube of 370 using a calculator, input the number 370 and use the cube function (if available) or multiply 370 × 370 × 370. This operation calculates the value of 370³, resulting in 50,653,000. 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 7 followed by 0.

 

Step 3: If the calculator has a cube function, press it to calculate 370³.

 

Step 4: If there is no cube function on the calculator, simply multiply 370 three times manually.

 

Step 5: The calculator will display 50,653,000.

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Tips and Tricks for the Cube of 370

  • 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 370

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

Mistake 1

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Incorrect Multiplication

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People might multiply the numbers only twice. That is, 370 × 370 and not 370 × 370 × 370. Always remember that 370³ = 370 × 370 × 370.

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Solved Examples on Cube of 370

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Problem 1

What is the cube and cube root of 370?

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The cube of 370 is 50,653,000 and the cube root of 370 is approximately 7.237.

Explanation

First, let’s find the cube of 370.

We know that the cube of a number is calculated as x³ = y where x is the given number and y is the cubed value of that number. So, we get 370³ = 50,653,000.

Next, we must find the cube root of 370.

We know that the cube root of a number ‘x’ is calculated as ³√x = y where ‘x’ is the given number and y is the cube root value of the number. So, we get ³√370 ≈ 7.237.

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Problem 2

If the side length of the cube is 370 cm, what is the volume?

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The volume is 50,653,000 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 370 for the side length: V = 370³ = 50,653,000 cm³.

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Problem 3

How much larger is 370³ than 350³?

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370³ – 350³ = 7,778,000.

Explanation

First, find the cube of 370, which is 50,653,000.

Next, find the cube of 350, which is 42,875,000.

Now, find the difference between them using the subtraction method. 50,653,000 – 42,875,000 = 7,778,000

Therefore, 370³ is 7,778,000 larger than 350³.

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Problem 4

If a cube with a side length of 370 cm is compared to a cube with a side length of 20 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 370 cm is 50,653,000 cm³.

Explanation

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

Cubing 370 means multiplying 370 by itself three times: 370 × 370 = 136,900, and 136,900 × 370 = 50,653,000.

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

Therefore, the volume of the cube is 50,653,000 cm³.

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Problem 5

Estimate the cube of 369.9 using the cube of 370.

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The cube of 369.9 is approximately 50,653,000.

Explanation

First, identify the cube of 370.

The cube of 370 is 370³ = 50,653,000.

Since 369.9 is only a tiny bit less than 370, the cube of 369.9 will be almost the same as the cube of 370.

The cube of 369.9 is approximately 50,653,000 because the difference between 369.9 and 370 is very small.

So, we can approximate the value as 50,653,000.

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FAQs on Cube of 370

1.What are the perfect cubes up to 370?

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2.How do you calculate 370³?

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3.What is the meaning of 370³?

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4.What is the cube root of 370?

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5.Is 370 a perfect cube?

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

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7.How can cultural or local activities in Philippines support learning Algebra topics such as Cube of 370?

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8.How do technology and digital tools in Philippines support learning Algebra and Cube of 370?

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

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Important Glossaries for Cube of 370

  • 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 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, where the exponent value indicates how many times the base is multiplied by itself. For example, 3³ represents 3 × 3 × 3 equals to 27.
     
  • Perfect Cube: A number that can be expressed as the product of three equal integers.
     
  • Volume of a Cube: The measure of the amount of space inside a cube, calculated as the side length raised to the power of three.
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About BrightChamps in Philippines

At BrightChamps, algebra is more than just numbers—it’s the key to unlocking many opportunities! We dedicate ourselves to helping kids across the Philippines grasp important math concepts, including today’s focus on the Cube of 370 with a special emphasis on cubes—in an engaging, clear, and fun way. Whether your child is calculating the speed of a roller coaster at Enchanted Kingdom, following basketball scores, or managing their allowance to buy new gadgets, mastering algebra builds their confidence for everyday challenges. Our interactive lessons make math learning fun and easy. Because kids in the Philippines learn in diverse ways, we tailor our approach to each child’s unique style. From Manila’s busy streets to Palawan’s stunning islands, BrightChamps makes algebra exciting and relatable throughout the Philippines. 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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