Cube of 1357
2026-02-28 10:58 Diff
https://brightchamps.com/en-us/math/algebra/cube-of-1357

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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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 1357.

Cube of 1357

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 1357 can be written as 1357³, which is the exponential form. Or it can also be written in arithmetic form as 1357 × 1357 × 1357.

How to Calculate the Value of Cube of 1357

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. By Multiplication Method Using a Formula 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. 1357³ = 1357 × 1357 × 1357 Step 2: Calculate the product to get the answer. Hence, the cube of 1357 is 2,498,207,693.

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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 1357 into two parts, as appropriate. Let a = 1300 and b = 57, so a + b = 1357 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 1300³ 3a²b = 3 × 1300² × 57 3ab² = 3 × 1300 × 57² b³ = 57³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ 1357³ = 1300³ + 3 × 1300² × 57 + 3 × 1300 × 57² + 57³ Step 5: Calculate the result to find the cube of 1357.

Using a Calculator

To find the cube of 1357 using a calculator, input the number 1357 and use the cube function (if available) or multiply 1357 × 1357 × 1357. This operation calculates the value of 1357³, resulting in 2,498,207,693. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 1, followed by 3, 5, and 7. Step 3: If the calculator has a cube function, press it to calculate 1357³. Step 4: If there is no cube function on the calculator, simply multiply 1357 three times manually. Step 5: The calculator will display 2,498,207,693.

Tips and Tricks for the Cube of 1357

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.

Common Mistakes to Avoid When Calculating the Cube of 1357

There are some typical errors that students might make during the process of cubing a number. Let us take a look at five of the major mistakes that students might make:

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Problem 1

What is the cube and cube root of 1357?

Okay, lets begin

The cube of 1357 is 2,498,207,693, and the cube root of 1357 is approximately 11.082.

Explanation

First, let’s find the cube of 1357. 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 1357³ = 2,498,207,693 Next, we must find the cube root of 1357. 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√1357 = 11.082 Hence the cube of 1357 is 2,498,207,693, and the cube root of 1357 is approximately 11.082.

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Problem 2

If the side length of the cube is 1357 cm, what is the volume?

Okay, lets begin

The volume is 2,498,207,693 cm³.

Explanation

Use the volume formula for a cube V = Side³. Substitute 1357 for the side length: V = 1357³ = 2,498,207,693 cm³.

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Problem 3

How much larger is 1357³ than 1200³?

Okay, lets begin

1357³ – 1200³ = 1,048,207,693.

Explanation

First, find the cube of 1357³, which is 2,498,207,693. Next, find the cube of 1200³, which is 1,728,000,000. Now, find the difference between them using the subtraction method. 2,498,207,693 – 1,728,000,000 = 1,048,207,693 Therefore, 1357³ is 1,048,207,693 larger than 1200³.

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Problem 4

If a cube with a side length of 1357 cm is compared to a cube with a side length of 500 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 1357 cm is 2,498,207,693 cm³.

Explanation

To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 1357 means multiplying 1357 by itself three times: 1357 × 1357 × 1357 = 2,498,207,693. Therefore, the volume of the cube is 2,498,207,693 cm³.

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Problem 5

Estimate the cube of 1356 using the cube of 1357.

Okay, lets begin

The cube of 1356 is approximately 2,495,989,016.

Explanation

First, identify the cube of 1357, The cube of 1357 is 1357³ = 2,498,207,693. Since 1356 is only slightly less than 1357, the cube of 1356 will be slightly less than the cube of 1357. The cube of 1356 is approximately 2,495,989,016, calculated using precise multiplication.

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FAQs on Cube of 1357

1.What is a perfect cube?

A perfect cube is a number that can be expressed as the product of an integer multiplied by itself twice more. For example, 1, 8, and 27 are perfect cubes.

2.How do you calculate 1357³?

To calculate 1357³, use the multiplication method: 1357 × 1357 × 1357, which equals 2,498,207,693.

3.What is the meaning of 1357³?

1357³ means 1357 multiplied by itself three times, or 1357 × 1357 × 1357.

4.What is the cube root of 1357?

The cube root of 1357 is approximately 11.082.

5.Is 1357 a perfect cube?

No, 1357 is not a perfect cube because no integer multiplied by itself three times equals 1357.

Important Glossaries for Cube of 1357

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. Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number. Volume of a Cube: The volume of a cube is 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.

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