Cube of 711
2026-02-28 11:14 Diff
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Last updated on August 5, 2025

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 711.

Cube of 711

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 711 can be written as 711³, which is the exponential form. Or it can also be written in arithmetic form as, 711 × 711 × 711.

How to Calculate the Value of Cube of 711

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

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. 711³ = 711 × 711 × 711

Step 2: You get 359,251,671 as the answer. Hence, the cube of 711 is 359,251,671.

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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 711 into two parts, as 700 and 11. Let a = 700 and b = 11, so a + b = 711

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

Step 3: Calculate each term

a³ = 700³

3a²b = 3 × 700² × 11

3ab² = 3 × 700 × 11²

b³ = 11³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(700 + 11)³ = 700³ + 3 × 700² × 11 + 3 × 700 × 11² + 11³

711³ = 343,000,000 + 161,700 + 25,410 + 1,331

711³ = 359,251,671

Step 5: Hence, the cube of 711 is 359,251,671.

Using a Calculator

To find the cube of 711 using a calculator, input the number 711 and use the cube function (if available) or multiply 711 × 711 × 711. This operation calculates the value of 711³, resulting in 359,251,671. 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 1 then 1

Step 3: If the calculator has a cube function, press it to calculate 711³.

Step 4: If there is no cube function on the calculator, simply multiply 711 three times manually.

Step 5: The calculator will display 359,251,671.

Tips and Tricks for the Cube of 711

  • 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.

Common Mistakes to Avoid When Calculating the Cube of 711

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:

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Problem 1

What is the cube and cube root of 711?

Okay, lets begin

The cube of 711 is 359,251,671 and the cube root of 711 is approximately 8.94.

Explanation

First, let’s find the cube of 711.

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

So, we get 711³ = 359,251,671.

Next, we must find the cube root of 711.

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√711 ≈ 8.94.

Hence the cube of 711 is 359,251,671 and the cube root of 711 is approximately 8.94.

Well explained 👍

Problem 2

If the side length of a cube is 711 cm, what is the volume?

Okay, lets begin

The volume is 359,251,671 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 711 for the side length: V = 711³ = 359,251,671 cm³.

Well explained 👍

Problem 3

How much larger is 711³ than 700³?

Okay, lets begin

711³ – 700³ = 16,251,671.

Explanation

First, find the cube of 711³, that is 359,251,671.

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

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

359,251,671 – 343,000,000 = 16,251,671.

Therefore, 711³ is 16,251,671 larger than 700³.

Well explained 👍

Problem 4

If a cube with a side length of 711 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 711 cm is 359,251,671 cm³.

Explanation

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

Cubing 711 means multiplying 711 by itself three times: 711 × 711 = 505,521, and then 505,521 × 711 = 359,251,671.

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

Therefore, the volume of the cube is 359,251,671 cm³.

Well explained 👍

Problem 5

Estimate the cube of 710 using the cube of 711.

Okay, lets begin

The cube of 710 is approximately 357,911,000.

Explanation

First, identify the cube of 711, The cube of 711 is 711³ = 359,251,671.

Since 710 is only a tiny bit less than 711, the cube of 710 will be almost the same as the cube of 711.

The cube of 710 is approximately 357,911,000 because the difference between 710 and 711 is very small.

So, we can approximate the value as 357,911,000.

Well explained 👍

FAQs on Cube of 711

1.What are the perfect cubes up to 711?

The perfect cubes up to 711 are 1, 8, 27, 64, 125, 216, 343, and 512.

2.How do you calculate 711³?

To calculate 711³, use the multiplication method, 711 × 711 × 711, which equals 359,251,671.

3.What is the meaning of 711³?

711³ means 711 multiplied by itself three times, or 711 × 711 × 711.

4.What is the cube root of 711?

5.Is 711 a perfect cube?

No, 711 is not a perfect cube because no integer multiplied by itself three times equals 711.

Important Glossaries for Cube of 711

  • 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 to 8.
  • Volume of a Cube: The volume of a cube is found by cubing the side length, i.e., multiplying the side length by itself three times.
  • Perfect Cube: A number that can be expressed as the cube of an integer, such as 1, 8, 27, etc.

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