Cube of 1077
2026-02-28 09:54 Diff
https://brightchamps.com/en-us/math/algebra/cube-of-1077

178 Learners

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 cubes of 1077.

Cube of 1077

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 1077 can be written as 1077³, which is the exponential form. Or it can also be written in arithmetic form as, 1077 × 1077 × 1077.

How to Calculate the Value of Cube of 1077

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. 1077³ = 1077 × 1077 × 1077

Step 2: You get 1,249,279,733 as the answer. Hence, the cube of 1077 is 1,249,279,733.

Explore Our Programs

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 1077 into two parts, as 1000 and 77. Let a = 1000 and b = 77, so a + b = 1077

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

Step 3: Calculate each term a³ = 1000³ 3a²b = 3 × 1000² × 77 3ab² = 3 × 1000 × 77² b³ = 77³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1000 + 77)³ = 1000³ + 3 × 1000² × 77 + 3 × 1000 × 77² + 77³ 1077³ = 1,000,000,000 + 231,000,000 + 17,739,000 + 456,533 1077³ = 1,249,279,733

Step 5: Hence, the cube of 1077 is 1,249,279,733.

Using a Calculator

To find the cube of 1077 using a calculator, input the number 1077 and use the cube function (if available) or multiply 1077 × 1077 × 1077.

This operation calculates the value of 1077³, resulting in 1,249,279,733. 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 077

Step 3: If the calculator has a cube function, press it to calculate 1077³.

Step 4: If there is no cube function on the calculator, simply multiply 1077 three times manually.

Step 5: The calculator will display 1,249,279,733.

Tips and Tricks for the Cube of 1077

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 1077

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:

Download Worksheets

Problem 1

What is the cube and cube root of 1077?

Okay, lets begin

The cube of 1077 is 1,249,279,733 and the cube root of 1077 is approximately 10.196.

Explanation

First, let’s find the cube of 1077.

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 1077³ = 1,249,279,733 Next, we must find the cube root of 1077 We know that the cube root of a number ‘x’, such that ∛x = y

So, we get ∛1077 ≈ 10.196 Hence the cube of 1077 is 1,249,279,733 and the cube root of 1077 is approximately 10.196.

Well explained 👍

Problem 2

If the side length of the cube is 1077 cm, what is the volume?

Okay, lets begin

The volume is 1,249,279,733 cm³.

Explanation

Use the volume formula for a cube V = Side³. Substitute 1077 for the side length: V = 1077³ = 1,249,279,733 cm³.

Well explained 👍

Problem 3

How much larger is 1077³ than 1000³?

Okay, lets begin

1077³ – 1000³ = 249,279,733.

Explanation

First, find the cube of 1077³, that is 1,249,279,733

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

Now, find the difference between them using the subtraction method. 1,249,279,733 – 1,000,000,000 = 249,279,733

Therefore, 1077³ is 249,279,733 larger than 1000³.

Well explained 👍

Problem 4

If a cube with a side length of 1077 cm is compared to a cube with a side length of 77 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 1077 cm is 1,249,279,733 cm³.

Explanation

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

Cubing 1077 means multiplying 1077 by itself three times: 1077 × 1077 = 1,159,029, and then 1,159,029 × 1077 = 1,249,279,733.

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

Therefore, the volume of the cube is 1,249,279,733 cm³.

Well explained 👍

Problem 5

Estimate the cube of 1076 using the cube of 1077.

Okay, lets begin

The cube of 1076 is approximately 1,248,544,576.

Explanation

First, identify the cube of 1077, The cube of 1077 is 1077³ = 1,249,279,733.

Since 1076 is only a tiny bit less than 1077, the cube of 1076 will be slightly less than the cube of 1077.

The cube of 1076 is approximately 1,248,544,576.

Well explained 👍

FAQs on Cube of 1077

1.What are the perfect cubes up to 1077?

The perfect cubes up to 1077 are numbers like 1, 8, 27, 64, 125, 216, 343, 512, 729, and 1000.

2.How do you calculate 1077³?

To calculate 1077³, use the multiplication method, 1077 × 1077 × 1077, which equals 1,249,279,733.

3.What is the meaning of 1077³?

1077³ means 1077 multiplied by itself three times, or 1077 × 1077 × 1077.

4.What is the cube root of 1077?

The cube root of 1077 is approximately 10.196.

5.Is 1077 a perfect cube?

No, 1077 is not a perfect cube because no integer multiplied by itself three times equals 1077.

Important Glossaries for Cube of 1077

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

What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math

▶

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.