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Last updated on June 3rd, 2025

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Cube of 704

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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 the cube of 704.

Cube of 704 for Thai Students
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Cube of 704

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 704 can be written as 704³, which is the exponential form. Or it can also be written in arithmetic form as, 704 × 704 × 704.

 

cube of 704

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How to Calculate the Value of Cube of 704

In order to check whether a number is a cube number or not, we can use the following three methods, such as the multiplication method, a factor formula (a³), or by using a calculator. These three methods will help to cube 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. 704³ = 704 × 704 × 704

 

Step 2: You get 348,678,440 as the answer. Hence, the cube of 704 is 348,678,440.

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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 704 into two parts, as 700 and 4. Let a = 700 and b = 4, so a + b = 704.

 

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

 

Step 3: Calculate each term

 

a³ = 700³

 

3a²b = 3 × 700² × 4

 

3ab² = 3 × 700 × 4²

 

b³ = 4³

 

Step 4: Add all the terms together:

 

(a + b)³ = a³ + 3a²b + 3ab² + b³

 

(700 + 4)³ = 700³ + 3 × 700² × 4 + 3 × 700 × 4² + 4³

 

704³ = 343,000,000 + 5,880,000 + 33,600 + 64

 

704³ = 348,678,664

 

Step 5: Hence, the cube of 704 is 348,678,664.

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Using a Calculator

To find the cube of 704 using a calculator, input the number 704 and use the cube function (if available) or multiply 704 × 704 × 704. This operation calculates the value of 704³, resulting in 348,678,440. 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 0 and 4.

 

Step 3: If the calculator has a cube function, press it to calculate 704³.

 

Step 4: If there is no cube function on the calculator, simply multiply 704 three times manually.

 

Step 5: The calculator will display 348,678,440.

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Tips and Tricks for the Cube of 704

  • 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 704

There are some typical errors that might occur 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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There might be a mistake of multiplying the numbers only twice, such as 704 × 704 and not 704 × 704 × 704. Always remember that 704³ = 704 × 704 × 704.

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Solved Examples on Cube of 704

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Problem 1

What is the cube and cube root of 704?

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The cube of 704 is 348,678,440 and the cube root of 704 is approximately 8.879.

Explanation

First, let’s find the cube of 704.

 

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 704³ = 348,678,440.

 

Next, we must find the cube root of 704. 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 ∛704 ≈ 8.879.

 

Hence, the cube of 704 is 348,678,440 and the cube root of 704 is approximately 8.879.

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Problem 2

If the side length of a cube is 704 cm, what is the volume?

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The volume is 348,678,440 cm³.

Explanation

Use the volume formula for a cube V = Side³.

 

 

Substitute 704 for the side length: V = 704³ = 348,678,440 cm³.

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Problem 3

How much larger is 704³ than 500³?

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704³ – 500³ = 222,178,440.

Explanation

First, find the cube of 704, which is 348,678,440.

 

Next, find the cube of 500, which is 125,000,000.

 

Now, find the difference between them using the subtraction method.

 

348,678,440 – 125,000,000 = 223,678,440.

 

Therefore, 704³ is 223,678,440 larger than 500³.

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Problem 4

If a cube with a side length of 704 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 704 cm is 348,678,440 cm³.

Explanation

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

 

Cubing 704 means multiplying 704 by itself three times: 704 × 704 = 495,616, and then 495,616 × 704 = 348,678,440.

 

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

 

Therefore, the volume of the cube is 348,678,440 cm³.

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Problem 5

Estimate the cube of 703.9 using the cube of 704.

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The cube of 703.9 is approximately 348,678,440.

Explanation

First, identify the cube of 704, The cube of 704 is 704³ = 348,678,440.

 

Since 703.9 is only a tiny bit less than 704, the cube of 703.9 will be almost the same as the cube of 704.

 

The cube of 703.9 is approximately 348,678,440 because the difference between 703.9 and 704 is very small.

 

So, we can approximate the value as 348,678,440.

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FAQs on Cube of 704

1.What are the perfect cubes up to 704?

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2.How do you calculate 704³?

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3.What is the meaning of 704³?

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4.What is the cube root of 704?

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5.Is 704 a perfect cube?

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

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7.How can cultural or local activities in Thailand support learning Algebra topics such as Cube of 704?

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8.How do technology and digital tools in Thailand support learning Algebra and Cube of 704?

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

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Important Glossaries for Cube of 704

  • 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.

 

  • Perfect Cube: A number that is the cube of an integer is called a perfect cube.

 

  • Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number.
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About BrightChamps in Thailand

At BrightChamps, algebra goes beyond just numbers—it’s the key to countless opportunities! We strive to help children across Thailand master important math skills, like today’s focus on the Cube of 704, with an exciting look at cubes—in a lively, easy-to-understand, and fun way. Whether your child is calculating how fast a roller coaster moves at Dream World, tracking scores at a local football game, or managing their allowance for the newest gadgets, knowing algebra builds the confidence they need every day. Our interactive lessons keep math fun and simple. Because children in Thailand learn in diverse ways, we adapt our teaching to fit each child’s unique style. From bustling Bangkok streets to Phuket’s tropical islands, BrightChamps makes algebra relatable and exciting throughout Thailand. Let’s make cubes a joyful part of every child’s math journey!
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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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