Cube of 1083
2026-02-28 23:46 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 1083.

Cube of 1083

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 1083 can be written as 1083³, which is the exponential form.

Or it can also be written in arithmetic form as 1083 × 1083 × 1083.

How to Calculate the Value of Cube of 1083

In order to check whether a number is a cube number or not, we can use the following three methods: the multiplication method, a factor formula (a³), or by using a calculator.

These three methods will help kids to cube numbers faster and more easily 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. 1083³ = 1083 × 1083 × 1083

Step 2: You get 1,269,086,587 as the answer. Hence, the cube of 1083 is 1,269,086,587.

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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 1083 into two parts. Let a = 1000 and b = 83, so a + b = 1083

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

Step 3: Calculate each term a³ = 1000³ 3a²b = 3 × 1000² × 83 3ab² = 3 × 1000 × 83² b³ = 83³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1000 + 83)³ = 1000³ + 3 × 1000² × 83 + 3 × 1000 × 83² + 83³ 1083³ = 1,000,000,000 + 249,000,000 + 20,727,000 + 571,787 1083³ = 1,269,086,787

Step 5: Hence, the cube of 1083 is 1,269,086,787.

Using a Calculator

To find the cube of 1083 using a calculator, input the number 1083 and use the cube function (if available) or multiply 1083 × 1083 × 1083.

This operation calculates the value of 1083³, resulting in 1,269,086,787. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 1, 0, 8, 3

Step 3: If the calculator has a cube function, press it to calculate 1083³.

Step 4: If there is no cube function on the calculator, simply multiply 1083 three times manually.

Step 5: The calculator will display 1,269,086,787.

Tips and Tricks for the Cube of 1083

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 1083

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 1083?

Okay, lets begin

The cube of 1083 is 1,269,086,787 and the cube root of 1083 is approximately 10.29.

Explanation

First, let’s find the cube of 1083. 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 1083³ = 1,269,086,787.

Next, we must find the cube root of 1083.

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 ∛1083 = 10.29 Hence, the cube of 1083 is 1,269,086,787 and the cube root of 1083 is approximately 10.29.

Well explained 👍

Problem 2

If the side length of the cube is 1083 cm, what is the volume?

Okay, lets begin

The volume is 1,269,086,787 cm³.

Explanation

Use the volume formula for a cube V = Side³. Substitute 1083 for the side length: V = 1083³ = 1,269,086,787 cm³.

Well explained 👍

Problem 3

How much larger is 1083³ than 1000³?

Okay, lets begin

1083³ – 1000³ = 269,086,787.

Explanation

First, find the cube of 1083³, which is 1,269,086,787.

Next, find the cube of 1000³, which is 1,000,000,000.

Now, find the difference between them using the subtraction method. 1,269,086,787 – 1,000,000,000 = 269,086,787

Therefore, 1083³ is 269,086,787 larger than 1000³.

Well explained 👍

Problem 4

If a cube with a side length of 1083 cm is compared to a cube with a side length of 83 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 1083 cm is 1,269,086,787 cm³.

Explanation

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

Cubing 1083 means multiplying 1083 by itself three times: 1083 × 1083 = 1,173,489, and 1,173,489 × 1083 = 1,269,086,787.

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

Therefore, the volume of the cube is 1,269,086,787 cm³.

Well explained 👍

Problem 5

Estimate the cube of 1084 using the cube of 1083.

Okay, lets begin

The cube of 1084 is approximately 1,271,791,904.

Explanation

First, identify the cube of 1083, The cube of 1083 is 1083³ = 1,269,086,787.

Since 1084 is only a tiny bit more than 1083, the cube of 1084 will be slightly more than the cube of 1083.

By calculating the cube of 1084, we find it to be approximately 1,271,791,904.

Well explained 👍

FAQs on Cube of 1083

1.What are the perfect cubes up to 1083?

The perfect cubes up to 1083 include 1, 8, 27, 64, 125, 216, 343, 512, 729, and 1000.

2.How do you calculate 1083³?

To calculate 1083³, use the multiplication method, 1083 × 1083 × 1083, which equals 1,269,086,787.

3.What is the meaning of 1083³?

1083³ means 1083 multiplied by itself three times, or 1083 × 1083 × 1083.

4.What is the cube root of 1083?

The cube root of 1083 is approximately 10.29.

5.Is 1083 a perfect cube?

No, 1083 is not a perfect cube because no integer multiplied by itself three times equals 1083.

Important Glossaries for Cube of 1083

  • 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 product of an integer multiplied by itself three times, such as 1, 8, and 27.
  • Volume of a Cube: The space occupied by a cube, calculated as the side length multiplied by itself three times (V = 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.