Cube of 973
2026-02-28 08:16 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 the sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 973.

Cube of 973

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 973 can be written as 973³, which is the exponential form. Or it can also be written in arithmetic form as 973 × 973 × 973.

How to Calculate the Value of Cube of 973

To determine 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 cube 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 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. 973³ = 973 × 973 × 973

Step 2: You get 920,089,317 as the answer. Hence, the cube of 973 is 920,089,317.

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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 973 into two parts, as 970 and 3. Let a = 970 and b = 3, so a + b = 973

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

Step 3: Calculate each term

a³ = 970³

3a²b = 3 × 970² × 3

3ab² = 3 × 970 × 3²

b³ = 3³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(970 + 3)³ = 970³ + 3 × 970² × 3 + 3 × 970 × 3² + 3³

973³ = 912673000 + 84510 + 8730 + 27

973³ = 920,089,317

Step 5: Hence, the cube of 973 is 920,089,317.

Using a Calculator

To find the cube of 973 using a calculator, input the number 973 and use the cube function (if available) or multiply 973 × 973 × 973. This operation calculates the value of 973³, resulting in 920,089,317. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 9, followed by 7, and 3

Step 3: If the calculator has a cube function, press it to calculate 973³.

Step 4: If there is no cube function on the calculator, simply multiply 973 three times manually.

Step 5: The calculator will display 920,089,317.

Tips and Tricks for the Cube of 973

  • 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 973

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 973?

Okay, lets begin

The cube of 973 is 920,089,317, and the cube root of 973 is approximately 9.873.

Explanation

First, let’s find the cube of 973.

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 973³ = 920,089,317

Next, we must find the cube root of 973

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 ∛973 ≈ 9.873

Hence the cube of 973 is 920,089,317, and the cube root of 973 is approximately 9.873.

Well explained 👍

Problem 2

If the side length of the cube is 973 cm, what is the volume?

Okay, lets begin

The volume is 920,089,317 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 973 for the side length: V = 973³ = 920,089,317 cm³.

Well explained 👍

Problem 3

How much larger is 973³ than 970³?

Okay, lets begin

973³ – 970³ = 84,317.

Explanation

First, find the cube of 973³, which is 920,089,317

Next, find the cube of 970³, which is 912,673,000

Now, find the difference between them using the subtraction method. 920,089,317 – 912,673,000 = 84,317

Therefore, 973³ is 84,317 larger than 970³.

Well explained 👍

Problem 4

If a cube with a side length of 973 cm is compared to a cube with a side length of 3 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 973 cm is 920,089,317 cm³

Explanation

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

Cubing 973 means multiplying 973 by itself three times: 973 × 973 = 946,729, and then 946,729 × 973 = 920,089,317.

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

Therefore, the volume of the cube is 920,089,317 cm³.

Well explained 👍

Problem 5

Estimate the cube of 972 using the cube of 973.

Okay, lets begin

The cube of 972 is approximately 918,330,048.

Explanation

First, identify the cube of 973, The cube of 973 is 973³ = 920,089,317.

Since 972 is only a tiny bit less than 973, the cube of 972 will be almost the same as the cube of 973. The cube of 972 is approximately 918,330,048, since the difference between 972 and 973 is very small.

So, we can approximate the value as 918,330,048.

Well explained 👍

FAQs on Cube of 973

1.How do you calculate 973³?

To calculate 973³, use the multiplication method, 973 × 973 × 973, which equals 920,089,317.

2.What is the meaning of 973³?

973³ means 973 multiplied by itself three times, or 973 × 973 × 973.

3.What is the cube root of 973?

4.Is 973 a perfect cube?

No, 973 is not a perfect cube because no integer multiplied by itself three times equals 973.

5.What are some examples of perfect cubes near 973?

Some perfect cubes near 973 are 729 (9³) and 1000 (10³).

Important Glossaries for Cube of 973

  • 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 cube of an integer.
  • Volume of a Cube: The space occupied by a cube is given by the formula V = Side³, where the side is the length of one edge of the cube.

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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.