Cube of -1331
2026-02-28 17:39 Diff
https://brightchamps.com/en-us/math/algebra/cube-of-minus-1331

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Last updated on August 5, 2025

When a number is multiplied by itself three times, 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 -1331.

Cube of -1331

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 -1331 can be written as (-1331)3, which is the exponential form. Or it can also be written in arithmetic form as -1331 × -1331 × -1331.

How to Calculate the Value of Cube of -1331

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 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 numbers or quantities by combining them through repeated multiplication. It is a fundamental operation that forms the basis for more complex mathematical concepts.

Step 1: Write down the cube of the given number.

(-1331)3 = -1331 × -1331 × -1331

Step 2: You get -2,352,637,961 as the answer.

Hence, the cube of -1331 is -2,352,637,961.

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Using a Formula (a^3)

The formula (a + b)3is a binomial formula for finding the cube of a number. The formula is expanded as a3 + 3a2b + 3ab2 + b3 .

Step 1: Split the number -1331 into two parts, as -1300 and -31.

Let a = -1300 and b = -31, so a + b = -1331

Step 2: Now, apply the formula (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3

Step 3: Calculate each term a3 = (-1300)3 , 3a2b = 3 × (-1300)2 × (-31) , 3ab2 = 3 × (-1300) × (-31)2 , b3 = (-31)3

Step 4: Add all the terms together: (a + b)3 = a3 + 3a2b + 3ab2 + b3

(-1300 + -31)3= (-1300)3 + 3 × (-1300)2 × (-31) + 3 × (-1300) × (-31)2 + (-31)3

(-1331)3 = -2,197,000,000 + 1,247,900 + 1,249,700 + -29,791

(-1331)3 = -2,352,637,961

Step 5: Hence, the cube of -1331 is -2,352,637,961.

Using a Calculator

To find the cube of -1331 using a calculator, input the number -1331 and use the cube function (if available) or multiply -1331 × -1331 × -1331. This operation calculates the value of (-1331)3, resulting in -2,352,637,961. 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, 3, 1, and then the negative sign

Step 3: If the calculator has a cube function, press it to calculate (-1331)3.

Step 4: If there is no cube function on the calculator, simply multiply -1331 three times manually.

Step 5: The calculator will display -2,352,637,961.

Tips and Tricks for the Cube of -1331

  • 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 -1331

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:

Problem 1

What is the cube and cube root of -1331?

Okay, lets begin

The cube of -1331 is -2,352,637,961 and the cube root of -1331 is -11.

Explanation

First, let’s find the cube of -1331.

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 (-1331)3 = -2,352,637,961

Next, we must find the cube root of -1331

We know that 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 ∛-1331 = -11

Hence the cube of -1331 is -2,352,637,961 and the cube root of -1331 is -11.

Well explained 👍

Problem 2

If the side length of a cube is -1331 units, what is the volume?

Okay, lets begin

The volume is -2,352,637,961 cubic units.

Explanation

Use the volume formula for a cube V = Side3.

Substitute -1331 for the side length: V = (-1331)3 = -2,352,637,961 cubic units.

Well explained 👍

Problem 3

How much larger is (-1331)^3 than (-1300)^3?

Okay, lets begin

(-1331)^3 – (-1300)3 = -155,637,961.

Explanation

First find the cube of (-1331), which is -2,352,637,961.

Next, find the cube of (-1300), which is -2,197,000,000.

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

-2,352,637,961 - (-2,197,000,000) = -155,637,961

Therefore, (-1331)3 is -155,637,961 larger than (-1300)3.

Well explained 👍

Problem 4

If a cube with a side length of -1331 units is compared to a cube with a side length of -31 units, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of -1331 units is -2,352,637,961 cubic units.

Explanation

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

Cubing -1331 means multiplying -1331 by itself three times: -1331 × -1331 = 1,769,161, and then 1,769,161 × -1331 = -2,352,637,961.

The unit of volume is cubic units, because we are calculating the space inside the cube.

Therefore, the volume of the cube is -2,352,637,961 cubic units.

Well explained 👍

Problem 5

Estimate the cube of -1329 using the cube of -1331.

Okay, lets begin

The cube of -1329 is approximately -2,352,637,961.

Explanation

First, identify the cube of -1331.

The cube of -1331 is (-1331)3 = -2,352,637,961.

Since -1329 is only a tiny bit different from -1331, the cube of -1329 will be almost the same as the cube of -1331.

The cube of -1329 is approximately -2,352,637,961 because the difference between -1329 and -1331 is very small.

So, we can approximate the value as -2,352,637,961.

Well explained 👍

FAQs on Cube of -1331

1.What are the perfect cubes up to 1331?

The perfect cubes up to 1331 are 1, 8, 27, 64, 125, 216, 343, 512, 729, and 1000.

2.How do you calculate (-1331)^3?

To calculate (-1331)3, use the multiplication method, -1331 × -1331 × -1331, which equals -2,352,637,961.

3.What is the meaning of (-1331)^3?

(-1331)3 means -1331 multiplied by itself three times, or -1331 × -1331 × -1331.

4.What is the cube root of -1331?

5.Is -1331 a perfect cube?

Yes, -1331 is a perfect cube because -11 multiplied by itself three times equals -1331.

Important Glossaries for Cube of -1331

  • Binomial Formula: An algebraic expression used to expand 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 cube of a number.
  • Cube of a Number: Multiplying a number by itself three times, called the cube of a number.
  • Exponential Form: A way of expressing numbers using a base and an exponent (or power), where the exponent indicates how many times the base is multiplied by itself.
  • Perfect Cube: A number that can be expressed as the cube of an integer.
  • Cube Root: A value that, when multiplied by itself three times, gives the original number, such as ∛x = y.

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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.