Cube of 877
2026-02-28 23:44 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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 877.

Cube of 877

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 877 can be written as 877³, which is the exponential form. Or it can also be written in arithmetic form as, 877 × 877 × 877.

How to Calculate the Value of Cube of 877

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

  1. By Multiplication Method
  2. Using a Formula
  3. 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. 877³ = 877 × 877 × 877

Step 2: You get 675,126,133 as the answer. Hence, the cube of 877 is 675,126,133.

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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 877 into two parts, as 800 and 77. Let a = 800 and b = 77, so a + b = 877

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

Step 3: Calculate each term

a³ = 800³

3a²b = 3 × 800² × 77

3ab² = 3 × 800 × 77²

b³ = 77

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(800 + 77)³ = 800³ + 3 × 800² × 77 + 3 × 800 × 77² + 77³

877³ = 512,000,000 + 147,840,000 + 14,256,000 + 456,533

877³ = 675,126,133

Step 5: Hence, the cube of 877 is 675,126,133.

Using a Calculator

To find the cube of 877 using a calculator, input the number 877 and use the cube function (if available) or multiply 877 × 877 × 877. This operation calculates the value of 877³, resulting in 675,126,133. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 8 followed by 7 twice

Step 3: If the calculator has a cube function, press it to calculate 877³.

Step 4: If there is no cube function on the calculator, simply multiply 877 three times manually.

Step 5: The calculator will display 675,126,133.

Tips and Tricks for the Cube of 877

  • 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 877

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 877?

Okay, lets begin

The cube of 877 is 675,126,133 and the cube root of 877 is approximately 9.548.

Explanation

First, let’s find the cube of 877.

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 877³ = 675,126,133

Next, we must find the cube root of 877 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√877 ≈ 9.548

Hence the cube of 877 is 675,126,133 and the cube root of 877 is approximately 9.548.

Well explained 👍

Problem 2

If the side length of the cube is 877 cm, what is the volume?

Okay, lets begin

The volume is 675,126,133 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 877 for the side length: V = 877³ = 675,126,133 cm³.

Well explained 👍

Problem 3

How much larger is 877³ than 800³?

Okay, lets begin

877³ – 800³ = 163,126,133.

Explanation

First find the cube of 877³, that is 675,126,133 Next, find the cube of 800³, which is 512,000,000

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

675,126,133 – 512,000,000 = 163,126,133

Therefore, 877³ is 163,126,133 larger than 800³.

Well explained 👍

Problem 4

If a cube with a side length of 877 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 877 cm is 675,126,133 cm³.

Explanation

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

Cubing 877 means multiplying 877 by itself three times: 877 × 877 = 769,129, and then 769,129 × 877 = 675,126,133.

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

Therefore, the volume of the cube is 675,126,133 cm³.

Well explained 👍

Problem 5

Estimate the cube 876.9 using the cube 877.

Okay, lets begin

The cube of 876.9 is approximately 675,126,133.

Explanation

First, identify the cube of 877, The cube of 877 is 877³ = 675,126,133.

Since 876.9 is only a tiny bit less than 877, the cube of 876.9 will be almost the same as the cube of 877.

The cube of 876.9 is approximately 675,126,133 because the difference between 876.9 and 877 is very small.

So, we can approximate the value as 675,126,133.

Well explained 👍

FAQs on Cube of 877

1.What are the perfect cubes up to 877?

The perfect cubes up to 877 include numbers like 1, 8, 27, 64, 125, 216, 343, 512, and 729.

2.How do you calculate 877³?

To calculate 877³, use the multiplication method, 877 × 877 × 877, which equals 675,126,133.

3.What is the meaning of 877³?

877³ means 877 multiplied by itself three times, or 877 × 877 × 877.

4.What is the cube root of 877?

5.Is 877 a perfect cube?

No, 877 is not a perfect cube because no integer multiplied by itself three times equals 877.

Important Glossaries for Cube of 877

  • 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 8.
  • 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 Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number. It is represented as ³√x.
  • Volume of a Cube: The amount of space inside a cube, calculated as the side length raised to the power of three, represented by 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.

Fun Fact

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