Cube of 873
2026-02-28 13:08 Diff
https://brightchamps.com/en-us/math/algebra/cube-of-873

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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 873.

Cube of 873

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 873 can be written as 873³, which is the exponential form. Or it can also be written in arithmetic form as 873 × 873 × 873.

How to Calculate the Value of Cube of 873

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.

  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. 873³ = 873 × 873 × 873

Step 2: You get 664,897,017 as the answer. Hence, the cube of 873 is 664,897,017.

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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 873 into two parts, as 800 and 73. Let a = 800 and b = 73, so a + b = 873.

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

Step 3: Calculate each term:

a³= 800³

3a²b = 3 × 800² × 73

3ab² = 3 × 800 × 73²

b³ = 73³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(800 + 73)³ = 800³ + 3 × 800² × 73 + 3 × 800 × 73² + 73³

873³ = 512,000,000 + 140,160,000 + 127,632,000 + 389,017

873³ = 664,897,017

Step 5: Hence, the cube of 873 is 664,897,017.

Using a Calculator

To find the cube of 873 using a calculator, input the number 873 and use the cube function (if available) or multiply 873 × 873 × 873. This operation calculates the value of 873³, resulting in 664,897,017. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Enter 873.

Step 3: If the calculator has a cube function, press it to calculate 873³.

Step 4: If there is no cube function on the calculator, simply multiply 873 three times manually.

Step 5: The calculator will display 664,897,017.

Tips and Tricks for the Cube of 873

  • 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 873

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 873?

Okay, lets begin

The cube of 873 is 664,897,017 and the cube root of 873 is approximately 9.544.

Explanation

First, let’s find the cube of 873.

We know that the cube of a number is such that x³ = y, where x is the given number, and y is the cubed value of that number.

So, we get 873³ = 664,897,017.

Next, we must find the cube root of 873.

We know that the cube root of a number ‘x’ is 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√873 ≈ 9.544.

Hence the cube of 873 is 664,897,017 and the cube root of 873 is approximately 9.544.

Well explained 👍

Problem 2

If the side length of the cube is 873 cm, what is the volume?

Okay, lets begin

The volume is 664,897,017 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 873 for the side length: V = 873³ = 664,897,017 cm³.

Well explained 👍

Problem 3

How much larger is 873³ than 400³?

Okay, lets begin

873³ – 400³ = 599,297,017.

Explanation

First, find the cube of 873, which is 664,897,017.

Next, find the cube of 400, which is 64,000,000.

Now, find the difference between them using the subtraction method. 664,897,017 – 64,000,000 = 599,297,017.

Therefore, the 873³ is 599,297,017 larger than 400³.

Well explained 👍

Problem 4

If a cube with a side length of 873 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 873 cm is 664,897,017 cm³.

Explanation

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

Cubing 873 means multiplying 873 by itself three times: 873 × 873 = 761,529, and then 761,529 × 873 = 664,897,017.

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

Therefore, the volume of the cube is 664,897,017 cm³.

Well explained 👍

Problem 5

Estimate the cube of 872 using the cube of 873.

Okay, lets begin

The cube of 872 is approximately 664,897,017.

Explanation

First, identify the cube of 873, The cube of 873 is 873³ = 664,897,017.

Since 872 is only a tiny bit less than 873, the cube of 872 will be almost the same as the cube of 873.

The cube of 872 is approximately 664,897,017 because the difference between 872 and 873 is very small.

So, we can approximate the value as 664,897,017.

Well explained 👍

FAQs on Cube of 873

1.What are the perfect cubes up to 873?

The perfect cubes up to 873 are 1, 8, 27, 64, 125, 216, 343, 512, and 729.

2.How do you calculate 873³?

To calculate 873³, use the multiplication method, 873 × 873 × 873, which equals 664,897,017.

3.What is the meaning of 873³?

873³ means 873 multiplied by itself three times, or 873 × 873 × 873.

4.What is the cube root of 873?

5.Is 873 a perfect cube?

No, 873 is not a perfect cube because no integer multiplied by itself three times equals 873.

Important Glossaries for Cube of 873

  • 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 8.
  • Perfect Cube: A number that can be expressed as the product of an integer multiplied by itself twice more. For example, 27 is a perfect cube because it equals 3 × 3 × 3.
  • Cube Root: The cube root of a number is a value that, when multiplied by itself twice, gives the original number. For example, the cube root of 27 is 3.

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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.