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Last updated on June 5th, 2025

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Cube of 740

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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 in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 740.

Cube of 740 for Vietnamese Students
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Cube of 740

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 740 can be written as 740³, which is the exponential form. Or it can also be written in arithmetic form as, 740 × 740 × 740.

 

cube of 740

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How to Calculate the Value of Cube of 740

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.

 

  1. By Multiplication Method
  2. Using a Formula
  3. 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. 740³ = 740 × 740 × 740

 

Step 2: You get 405,224,000 as the answer. Hence, the cube of 740 is 405,224,000.

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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 740 into two parts, as 700 and 40. Let a = 700 and b = 40, so a + b = 740

 

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

 

Step 3: Calculate each term

 

a³ = 700³

 

3a²b = 3 × 700² × 40

 

3ab² = 3 × 700 × 40²

 

b³ = 40³

 

Step 4: Add all the terms together:

 

(a + b)³ = a³ + 3a²b + 3ab² + b³

 

(700 + 40)³ = 700³ + 3 × 700² × 40 + 3 × 700 × 40² + 40³

 

740³ = 343,000,000 + 58,800,000 + 33,600,000 + 64,000

 

740³ = 435,464,000

 

Step 5: Hence, the cube of 740 is 405,224,000.

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Using a Calculator

To find the cube of 740 using a calculator, input the number 740 and use the cube function (if available) or multiply 740 × 740 × 740. This operation calculates the value of 740³, resulting in 405,224,000. It’s a quick way to determine the cube without manual computation.

 

Step 1: Ensure the calculator is functioning properly.

 

Step 2: Press 7 followed by 4 and 0

 

Step 3: If the calculator has a cube function, press it to calculate 740³.

 

Step 4: If there is no cube function on the calculator, simply multiply 740 three times manually.

 

Step 5: The calculator will display 405,224,000.

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Tips and Tricks for the Cube of 740

  • 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 740

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

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Incorrect Multiplication

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Kids might multiply the numbers only twice. That is, 740 × 740 and not 740 × 740 × 740. Always remember that 740³ = 740 × 740 × 740.

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Solved Examples on Cube of 740

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Problem 1

What is the cube and cube root of 740?

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The cube of 740 is 405,224,000 and the cube root of 740 is approximately 8.983.

Explanation

First, let’s find the cube of 740.

 

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 740³ = 405,224,000

 

Next, we must find the cube root of 740 We know that the cube root of a number ‘x’, such that ³√x = y Where ‘x’ is the given number, and y is the cube root value of the number

 

So, we get ³√740 ≈ 8.983

 

Hence, the cube of 740 is 405,224,000 and the cube root of 740 is approximately 8.983.

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Problem 2

If the side length of the cube is 740 cm, what is the volume?

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The volume is 405,224,000 cm³.

Explanation

Use the volume formula for a cube V = Side³.

 

Substitute 740 for the side length: V = 740³ = 405,224,000 cm³.

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Problem 3

How much larger is 740³ than 700³?

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740³ – 700³ = 92,464,000.

Explanation

First, find the cube of 740³, that is 405,224,000

 

Next, find the cube of 700³, which is 343,000,000

 

Now, find the difference between them using the subtraction method. 405,224,000 – 343,000,000 = 62,224,000

 

Therefore, 740³ is 62,224,000 larger than 700³.

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Problem 4

If a cube with a side length of 740 cm is compared to a cube with a side length of 40 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 740 cm is 405,224,000 cm³.

Explanation

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

 

Cubing 740 means multiplying 740 by itself three times: 740 × 740 = 547,600, and then 547,600 × 740 = 405,224,000.

 

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

 

Therefore, the volume of the cube is 405,224,000 cm³.

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Problem 5

Estimate the cube of 739.9 using the cube of 740.

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The cube of 739.9 is approximately 405,224,000.

Explanation

First, identify the cube of 740, The cube of 740 is 740³ = 405,224,000.

 

Since 739.9 is only a tiny bit less than 740, the cube of 739.9 will be almost the same as the cube of 740.

 

The cube of 739.9 is approximately 405,224,000 because the difference between 739.9 and 740 is very small.

 

So, we can approximate the value as 405,224,000.

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FAQs on Cube of 740

1.What are the perfect cubes up to 740?

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2.How do you calculate 740³?

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3.What is the meaning of 740³?

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4.What is the cube root of 740?

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5.Is 740 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 740?

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8.How do technology and digital tools in Vietnam support learning Algebra and Cube of 740?

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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 740

  • 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, 2³ represents 2 × 2 × 2 equals 8.

 

  • Volume of a Cube: The amount of space occupied by a cube, calculated as the side length raised to the power of three.

 

  • Perfect Cube: A number that can be expressed as the cube of an integer. For example, 27 is a perfect cube because it is 3³.
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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 740, 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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