BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon101 Learners

Last updated on June 3rd, 2025

Math Whiteboard Illustration

Cube of 712

Professor Greenline Explaining Math Concepts

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 the cube of 712.

Cube of 712 for Filipino Students
Professor Greenline from BrightChamps

Cube of 712

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 712 can be written as 712³, which is the exponential form. Or it can also be written in arithmetic form as 712 × 712 × 712.

 

cube of 712

Professor Greenline from BrightChamps

How to Calculate the Value of the Cube of 712

In order to check whether a number is a cube number or not, we can use the following three methods: the 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
Professor Greenline from BrightChamps

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. 712³ = 712 × 712 × 712

 

Step 2: You get 360,768,128 as the answer. Hence, the cube of 712 is 360,768,128.

Professor Greenline from BrightChamps

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 712 into two parts. Let a = 700 and b = 12, so a + b = 712

 

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

 

Step 3: Calculate each term

 

a³ = 700³

 

3a²b = 3 × 700² × 12

 

3ab² = 3 × 700 × 12²

 

b³ = 12³

 

Step 4: Add all the terms together:

 

(a + b)³ = a³ + 3a²b + 3ab² + b³

 

(700 + 12)³ = 700³ + 3 × 700² × 12 + 3 × 700 × 12² + 12³

 

712³ = 343,000,000 + 176,400 + 302,400 + 1,728

 

712³ = 360,768,128

 

Step 5: Hence, the cube of 712 is 360,768,128.

Professor Greenline from BrightChamps

Using a Calculator

To find the cube of 712 using a calculator, input the number 712 and use the cube function (if available) or multiply 712 × 712 × 712. This operation calculates the value of 712³, resulting in 360,768,128. It’s a quick way to determine the cube without manual computation.

 

Step 1: Ensure the calculator is functioning properly.

 

Step 2: Input 7, 1, 2 in sequence.

 

Step 3: If the calculator has a cube function, press it to calculate 712³.

 

Step 4: If there is no cube function on the calculator, simply multiply 712 three times manually.

 

Step 5: The calculator will display 360,768,128.

Professor Greenline from BrightChamps

Tips and Tricks for the Cube of 712

  • 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.
Max Pointing Out Common Math Mistakes

Common Mistakes to Avoid When Calculating the Cube of 712

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

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Incorrect Multiplication

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Kids might multiply the numbers only twice. That is, 712 × 712 and not 712 × 712 × 712. Always remember that 712³ = 712 × 712 × 712.

Max from BrightChamps Saying "Hey"

Solved Examples on Cube of 712

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

What is the cube and cube root of 712?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The cube of 712 is 360,768,128 and the cube root of 712 is approximately 8.944.

Explanation

First, let’s find the cube of 712.

 

We know that the cube of a number is given by x³ = y, where x is the given number, and y is the cubed value of that number

 

So, we get 712³ = 360,768,128.

 

Next, we must find the cube root of 712.

 

We know that the cube root of a number ‘x’ is given by ∛x = y, where ‘x’ is the given number, and y is the cube root value of the number.

 

So, we get ∛712 ≈ 8.944

 

. Hence, the cube of 712 is 360,768,128 and the cube root of 712 is approximately 8.944.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

If the side length of the cube is 712 cm, what is the volume?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The volume is 360,768,128 cm³.

Explanation

Use the volume formula for a cube V = Side³.

 

Substitute 712 for the side length: V = 712³ = 360,768,128 cm³.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

How much larger is 712³ than 512³?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

712³ – 512³ = 254,803,128.

Explanation

First, find the cube of 712, which is 360,768,128.

 

Next, find the cube of 512, which is 134,965,000.

 

Now, find the difference between them using the subtraction method. 360,768,128 – 134,965,000 = 225,803,128.

 

Therefore, 712³ is 225,803,128 larger than 512³.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

If a cube with a side length of 712 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The volume of the cube with a side length of 712 cm is 360,768,128 cm³.

Explanation

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

 

Cubing 712 means multiplying 712 by itself three times: 712 × 712 = 506,944, and then 506,944 × 712 = 360,768,128.

 

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

 

Therefore, the volume of the cube is 360,768,128 cm³.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

Estimate the cube of 711.5 using the cube of 712.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The cube of 711.5 is approximately 360,768,128.

Explanation

First, identify the cube of 712, The cube of 712 is 712³ = 360,768,128.

 

Since 711.5 is only a tiny bit less than 712, the cube of 711.5 will be almost the same as the cube of 712.

 

The cube of 711.5 is approximately 360,768,128 because the difference between 711.5 and 712 is very small.

 

So, we can approximate the value as 360,768,128.

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on Cube of 712

1.What are the perfect cubes up to 712?

Math FAQ Answers Dropdown Arrow

2.How do you calculate 712³?

Math FAQ Answers Dropdown Arrow

3.What is the meaning of 712³?

Math FAQ Answers Dropdown Arrow

4.What is the cube root of 712?

Math FAQ Answers Dropdown Arrow

5.Is 712 a perfect cube?

Math FAQ Answers Dropdown Arrow

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

Math FAQ Answers Dropdown Arrow

7.How can cultural or local activities in Philippines support learning Algebra topics such as Cube of 712?

Math FAQ Answers Dropdown Arrow

8.How do technology and digital tools in Philippines support learning Algebra and Cube of 712?

Math FAQ Answers Dropdown Arrow

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

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Cube of 712

  • 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, which equals 8.

 

  • Perfect Cube: A perfect cube is an integer that is the cube of an integer. For example, 27 is a perfect cube because it is 3³.

 

  • Volume of a Cube: The volume of a cube is calculated by raising the side length to the power of three, expressed as V = Side³.
Professor Greenline from BrightChamps

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 712 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!
Math Teacher Background Image
Math Teacher Image

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.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

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

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom