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Last updated on June 5th, 2025

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Cube of 771

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When a number is multiplied by itself three times, the resultant number is called the cube of that number. Cubing is used when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 771.

Cube of 771 for Saudi Students
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Cube of 771

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 771 can be written as 771³, which is the exponential form. Or it can also be written in arithmetic form as 771 × 771 × 771.

 

cube of 771

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How to Calculate the Value of Cube of 771

In order 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 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. 771³ = 771 × 771 × 771

 

Step 2: You get 457,707,411 as the answer. Hence, the cube of 771 is 457,707,411.

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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 771 into two parts, as 700 and 71. Let a = 700 and b = 71, so a + b = 771

 

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

 

Step 3: Calculate each term

 

a³ = 700³

 

3a²b = 3 × 700² × 71

 

3ab² = 3 × 700 × 71²

 

b³ = 71³

 

Step 4: Add all the terms together:

 

(a + b)³ = a³ + 3a²b + 3ab² + b³

 

(700 + 71)³ = 700³ + 3 × 700² × 71 + 3 × 700 × 71² + 71³

 

771³ = 343,000,000 + 104,790,000 + 10,609,300 + 357,111

 

771³ = 457,707,411

 

Step 5: Hence, the cube of 771 is 457,707,411.

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Using a Calculator

To find the cube of 771 using a calculator, input the number 771 and use the cube function (if available) or multiply 771 × 771 × 771. This operation calculates the value of 771³, resulting in 457,707,411. It’s a quick way to determine the cube without manual computation.

 

Step 1: Ensure the calculator is functioning properly.

 

Step 2: Enter 771

 

Step 3: If the calculator has a cube function, press it to calculate 771³.

 

Step 4: If there is no cube function on the calculator, simply multiply 771 three times manually.

 

Step 5: The calculator will display 457,707,411.

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Tips and Tricks for the Cube of 771

  • 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 771

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, 771 × 771 and not 771 × 771 × 771. Always remember that 771³ = 771 × 771 × 771.

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Solved Examples on Cube of 771

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Problem 1

What is the cube and cube root of 771?

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The cube of 771 is 457,707,411 and the cube root of 771 is approximately 9.245.

Explanation

First, let’s find the cube of 771.

 

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 771³ = 457,707,411

 

Next, we must find the cube root of 771. We know that the cube root of a number ‘x’ satisfies the relation: ∛x = y, where ‘x’ is the given number, and y is the cube root value of the number.

 

So, we get ∛771 ≈ 9.245

 

Hence the cube of 771 is 457,707,411 and the cube root of 771 is approximately 9.245.

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Problem 2

If the side length of the cube is 771 cm, what is the volume?

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The volume is 457,707,411 cm³.

Explanation

Use the volume formula for a cube V = Side³.

 

Substitute 771 for the side length: V = 771³ = 457,707,411 cm³.

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Problem 3

How much larger is 771³ than 700³?

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771³ – 700³ = 114,707,411.

Explanation

First find the cube of 771, which is 457,707,411.

 

Next, find the cube of 700, which is 343,000,000.

 

Now, find the difference between them using the subtraction method. 457,707,411 – 343,000,000 = 114,707,411

 

Therefore, 771³ is 114,707,411 larger than 700³.

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Problem 4

If a cube with a side length of 771 cm is compared to a cube with a side length of 71 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 771 cm is 457,707,411 cm³.

Explanation

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

 

Cubing 771 means multiplying 771 by itself three times: 771 × 771 = 594,441, and then 594,441 × 771 = 457,707,411.

 

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

 

Therefore, the volume of the cube is 457,707,411 cm³.

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Problem 5

Estimate the cube of 770 using the cube of 771.

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The cube of 770 is approximately 457,707,411.

Explanation

First, identify the cube of 771, The cube of 771 is 771³ = 457,707,411.

 

Since 770 is only a tiny bit less than 771, the cube of 770 will be almost the same as the cube of 771.

 

The cube of 770 is approximately 457,707,411 because the difference between 770 and 771 is very small.

 

So, we can approximate the value as 457,707,411.

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FAQs on Cube of 771

1.What are the perfect cubes up to 771?

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2.How do you calculate 771³?

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3.What is the meaning of 771³?

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4.What is the cube root of 771?

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5.Is 771 a perfect cube?

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

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7.How can cultural or local activities in Saudi Arabia support learning Algebra topics such as Cube of 771?

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8.How do technology and digital tools in Saudi Arabia support learning Algebra and Cube of 771?

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

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Important Glossaries for Cube of 771

  • 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.

 

  • Perfect Cube: A number that can be expressed as the cube of an integer.

 

  • Cube Root: The number that, when multiplied by itself three times, gives the original number.
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About BrightChamps in Saudi Arabia

At BrightChamps, algebra means more than just figures—it unlocks endless opportunities! Our mission is to support kids all across Saudi Arabia in learning key math concepts, including today’s focus on the Cube of 771 with a special highlight on cubes—in a fun, clear, and engaging way. Whether your child is figuring out the speed of a roller coaster at Riyadh’s Al Hokair Land, following scores at a local football match, or budgeting their allowance for the latest gadgets, mastering algebra boosts their confidence for everyday challenges. Our interactive lessons make learning simple and fun. Since kids in Saudi Arabia have different ways of learning, we customize our approach to each child’s style. From Riyadh’s bustling streets to Jeddah’s historic sites, BrightChamps brings algebra to life, making it exciting and relevant across Saudi Arabia. Let’s make cubes a fun 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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