Cube of 713
2026-02-28 00:45 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 the cube of 713.

Cube of 713

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 by itself three times results in a negative number.

The cube of 713 can be written as 713³, which is the exponential form. Or it can also be written in arithmetic form as, 713 × 713 × 713.

How to Calculate the Value of Cube of 713

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. 713³ = 713 × 713 × 713

Step 2: You get 362,970,697 as the answer. Hence, the cube of 713 is 362,970,697.

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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 713 into two parts, such as 700 and 13. Let a = 700 and b = 13, so a + b = 713

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

Step 3: Calculate each term

a³ = 700³

3a²b = 3 × 700² × 13

3ab² = 3 × 700 × 13²

b³ = 13³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(700 + 13)³ = 700³ + 3 × 700² × 13 + 3 × 700 × 13² + 13³

713³ = 343,000,000 + 191,100 + 118,300 + 2,197

713³ = 362,970,697

Step 5: Hence, the cube of 713 is 362,970,697.

Using a Calculator

To find the cube of 713 using a calculator, input the number 713 and use the cube function (if available) or multiply 713 × 713 × 713. This operation calculates the value of 713³, resulting in 362,970,697. 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, and then 3.

Step 3: If the calculator has a cube function, press it to calculate 713³.

Step 4: If there is no cube function on the calculator, simply multiply 713 three times manually.

Step 5: The calculator will display 362,970,697.

Tips and Tricks for the Cube of 713

  • 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 713

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 713?

Okay, lets begin

The cube of 713 is 362,970,697, and the cube root of 713 is approximately 8.947.

Explanation

First, let’s find the cube of 713.

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 713³ = 362,970,697

Next, we must find the cube root of 713 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 ∛713 = 8.947

Hence the cube of 713 is 362,970,697, and the cube root of 713 is approximately 8.947.

Well explained 👍

Problem 2

If the side length of the cube is 713 cm, what is the volume?

Okay, lets begin

The volume is 362,970,697 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 713 for the side length: V = 713³ = 362,970,697 cm³.

Well explained 👍

Problem 3

How much larger is 713³ than 700³?

Okay, lets begin

713³ – 700³ = 19,970,697.

Explanation

First, find the cube of 713³, which is 362,970,697.

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

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

362,970,697 – 343,000,000 = 19,970,697

Therefore, 713³ is 19,970,697 larger than 700³.

Well explained 👍

Problem 4

If a cube with a side length of 713 cm is compared to a cube with a side length of 13 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 713 cm is 362,970,697 cm³.

Explanation

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

Cubing 713 means multiplying 713 by itself three times: 713 × 713 = 508,369, and then 508,369 × 713 = 362,970,697.

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

Therefore, the volume of the cube is 362,970,697 cm³.

Well explained 👍

Problem 5

Estimate the cube 712 using the cube 713.

Okay, lets begin

The cube of 712 is approximately 362,970,697.

Explanation

First, identify the cube of 713.

The cube of 713 is 713³ = 362,970,697.

Since 712 is only a tiny bit less than 713, the cube of 712 will be almost the same as the cube of 713.

The cube of 712 is approximately 362,970,697 because the difference between 712 and 713 is very small.

So, we can approximate the value as 362,970,697.

Well explained 👍

FAQs on Cube of 713

1.What are the perfect cubes up to 713?

The perfect cubes up to 713 are 1, 8, 27, 64, 125, 216, 343, and 512.

2.How do you calculate 713³?

To calculate 713³, use the multiplication method, 713 × 713 × 713, which equals 362,970,697.

3.What is the meaning of 713³?

713³ means 713 multiplied by itself three times, or 713 × 713 × 713.

4.What is the cube root of 713?

5.Is 713 a perfect cube?

No, 713 is not a perfect cube because no integer multiplied by itself three times equals 713.

Important Glossaries for Cube of 713

  • 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.
  • Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number. It is denoted as ∛x.
  • Volume of a Cube: The measure of the space inside a cube, calculated by raising the length of its side to the power of three (Side³).

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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.

Fun Fact

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