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Last updated on June 30th, 2025

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Cube of 1291

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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 cubes of 1291.

Cube of 1291 for UK Students
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Cube of 1291

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 1291 can be written as 1291³, which is the exponential form.

 

Or it can also be written in arithmetic form as, 1291 × 1291 × 1291.

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How to Calculate the Value of Cube of 1291

In order to check whether a number is a cube number or not, we can use the following three methods, such as 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

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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. 1291³ = 1291 × 1291 × 1291

 

Step 2: You get 2,149,327,671 as the answer.

 

Hence, the cube of 1291 is 2,149,327,671.

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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 1291 into two parts, as 1200 and 91. Let a = 1200 and b = 91, so a + b = 1291

 

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

 

Step 3: Calculate each term a³ = 1200³ 3a²b = 3 × 1200² × 91 3ab² = 3 × 1200 × 91² b³ = 91³

 

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1200 + 91)³ = 1200³ + 3 × 1200² × 91 + 3 × 1200 × 91² + 91³ 1291³ = 1,728,000,000 + 393,120,000 + 29,673,000 + 753,571 1291³ = 2,149,327,671

 

Step 5: Hence, the cube of 1291 is 2,149,327,671.

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Using a Calculator

To find the cube of 1291 using a calculator, input the number 1291 and use the cube function (if available) or multiply 1291 × 1291 × 1291.

 

This operation calculates the value of 1291³, resulting in 2,149,327,671. 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 2, 9, and 1

 

Step 3: If the calculator has a cube function, press it to calculate 1291³.

 

Step 4: If there is no cube function on the calculator, simply multiply 1291 three times manually.

 

Step 5: The calculator will display 2,149,327,671.

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Tips and Tricks for the Cube of 1291

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 1291

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, 1291 × 1291 and not 1291 × 1291 × 1291. Always remember that 1291³ = 1291 × 1291 × 1291.

Mistake 2

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Misunderstanding the Cube Formula

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There is a possibility that kids might be confused between the formulas of square numbers and cube numbers. The square number formula is (a + b)² and the cube number formula is (a + b)³. Always review the formula for the difference between squaring and cubing.

Mistake 3

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Calculator Misuse

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Kids might press the wrong buttons, such as using the square (x²) function instead of the cube (x³) function or skipping steps in manual multiplication.

 

Always double-check your inputs on the calculator, and if it lacks a cube function, perform the multiplication in steps.

Mistake 4

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Misplacing Zeros

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Misplacing zeros during manual multiplication leads to incorrect results like 2,149,327,61 instead of 2,149,327,671. For this, kids should always double-check their answers.

Mistake 5

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Ignoring the Binomial Formula

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Kids might attempt to split the 1291 into 1200 + 91, but not apply the correct binomial expansion.

 

In order to avoid this, carefully calculate each term step-by-step during the application of the formula.

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Solved Examples on Cube of 1291

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Problem 1

What is the cube and cube root of 1291?

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The cube of 1291 is 2,149,327,671 and the cube root of 1291 is approximately 10.801.

Explanation

First, let’s find the cube of 1291. We know that 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 1291³ = 2,149,327,671

 

Next, we must find the cube root of 1291. We know that 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√1291 ≈ 10.801 Hence the cube of 1291 is 2,149,327,671 and the cube root of 1291 is approximately 10.801.

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Problem 2

If the side length of a cube is 1291 cm, what is the volume?

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The volume is 2,149,327,671 cm³.

Explanation

Use the volume formula for a cube V = Side³. Substitute 1291 for the side length: V = 1291³ = 2,149,327,671 cm³.

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Problem 3

How much larger is 1291³ than 1200³?

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1291³ – 1200³ = 421,327,671.

Explanation

First find the cube of 1291³, that is 2,149,327,671

 

Next, find the cube of 1200³, which is 1,728,000,000 Now, find the difference between them using the subtraction method. 2,149,327,671 – 1,728,000,000 = 421,327,671

 

Therefore, 1291³ is 421,327,671 larger than 1200³.

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Problem 4

If a cube with a side length of 1291 cm is compared to a cube with a side length of 500 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 1291 cm is 2,149,327,671 cm³.

Explanation

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

 

Cubing 1291 means multiplying 1291 by itself three times: 1291 × 1291 = 1,665,481, and then 1,665,481 × 1291 = 2,149,327,671.

 

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

 

Therefore, the volume of the cube is 2,149,327,671 cm³.

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Problem 5

Estimate the cube of 1290 using the cube of 1291.

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The cube of 1290 is approximately 2,149,327,671.

Explanation

First, identify the cube of 1291, The cube of 1291 is 1291³ = 2,149,327,671.

 

Since 1290 is only slightly less than 1291, the cube of 1290 will be very close to the cube of 1291.

 

The cube of 1290 is approximately 2,149,327,671 because the difference between 1290 and 1291 is minimal. So, we can approximate the value as 2,149,327,671.

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FAQs on Cube of 1291

1.What are the perfect cubes up to 1291?

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2.How do you calculate 1291³?

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3.What is the meaning of 1291³?

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4.What is the cube root of 1291?

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5.Is 1291 a perfect cube?

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

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7.How can cultural or local activities in United Kingdom support learning Algebra topics such as Cube of 1291?

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8.How do technology and digital tools in United Kingdom support learning Algebra and Cube of 1291?

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

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Important Glossaries for Cube of 1291

  • 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.

 

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

 

  • Cube Root: The value that, when multiplied by itself three times, gives the original number.
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About BrightChamps inUnited Kingdom

At BrightCHAMPS, we know algebra is more than just figures it’s a doorway to endless opportunities! Our mission is to help children across the United Kingdom grasp vital math skills, like today’s spotlight on the Cube of 1291, with an exciting focus on understanding cubes in a lively, straightforward, and enjoyable way. Whether your child is figuring out the speed of a roller coaster at Alton Towers, keeping score at a local football match, or managing pocket money for the latest gadgets, mastering algebra gives them the confidence to face everyday challenges. Our interactive sessions keep learning fun and simple. Because children in the UK have different ways of learning, we adapt our approach to fit their unique styles. From London’s busy streets to the scenic Cornwall coast, BrightCHAMPS makes algebra relatable and thrilling throughout the UK. Let’s turn cubes into a fun part of every child’s math adventure!
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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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