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Last updated on May 30th, 2025

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Cube of 96

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When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 96.

Cube of 96 for US Students
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Cube of 96

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 96 can be written as 96³, which is the exponential form.

 

Or it can also be written in arithmetic form as 96 × 96 × 96.

cube of 96

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How to Calculate the Value of Cube of 96

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.

 

  • By Multiplication Method
     
  • Using a Formula (a3)
     
  • Using a Calculator
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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. 96³ = 96 × 96 × 96

 

Step 2: You get 884,736 as the answer.

 

Hence, the cube of 96 is 884,736.

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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 96 into two parts, as and . Let a = 90 and b = 6, so a + b = 96

 

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

 

Step 3: Calculate each term a³ = 90³ 3a²b = 3 × 90² × 6 3ab² = 3 × 90 × 6² b³ = 6³

 

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (90 + 6)³ = 90³ + 3 × 90² × 6 + 3 × 90 × 6² + 6³ 96³ = 729000 + 145800 + 9720 + 216 96³ = 884,736

 

Step 5: Hence, the cube of 96 is 884,736.

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Using a Calculator

To find the cube of 96 using a calculator, input the number 96 and use the cube function (if available) or multiply 96 × 96 × 96. This operation calculates the value of 96³, resulting in 884,736. 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 6

 

Step 3: If the calculator has a cube function, press it to calculate 96³.

 

Step 4: If there is no cube function on the calculator, simply multiply 96 three times manually.

 

Step 5: The calculator will display 884,736.

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Tips and Tricks for the Cube of 96

  • 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.
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Common Mistakes to Avoid When Calculating the Cube of 96

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:

Mistake 1

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Incorrect Multiplication

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Kids might multiply the numbers only twice. That is, 96 × 96 and not 96 × 96 × 96. Always remember that 96³ = 96 × 96 × 96.

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Solved Examples on Cube of 96

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Problem 1

What is the cube and cube root of 96?

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The cube of 96 is 884,736 and the cube root of 96 is approximately 4.6416.

Explanation

First, let’s find the cube of 96.

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 96³ = 884,736 Next, we must find the cube root of 96

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 ∛96 ≈ 4.6416

Hence the cube of 96 is 884,736 and the cube root of 96 is approximately 4.6416.

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Problem 2

If the side length of the cube is 96 cm, what is the volume?

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The volume is 884,736 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 96 for the side length: V = 96³ = 884,736 cm³.

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Problem 3

How much larger is 96³ than 46³?

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96³ – 46³ = 868,584.

Explanation

First find the cube of 96³, that is 884,736

Next, find the cube of 46³, which is 16,152

Now, find the difference between them using the subtraction method. 884,736 – 16,152 = 868,584

Therefore, the 96³ is 868,584 larger than 46³.

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Problem 4

If a cube with a side length of 96 cm is compared to a cube with a side length of 16 cm, how much larger is the volume of the larger cube?

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The volume of the cube with a side length of 96 cm is 884,736 cm³.

Explanation

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

Cubing 96 means multiplying 96 by itself three times: 96 × 96 = 9,216, and then 9,216 × 96 = 884,736.

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

Therefore, the volume of the cube is 884,736 cm³.

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Problem 5

Estimate the cube of 95.9 using the cube of 96.

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The cube of 95.9 is approximately 884,736.

Explanation

First, identify the cube of 96,

The cube of 96 is 96³ = 884,736.

Since 95.9 is only a tiny bit less than 96, the cube of 95.9 will be almost the same as the cube of 96.

The cube of 95.9 is approximately 884,736 because the difference between 95.9 and 96 is very small.

So, we can approximate the value as 884,736.

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FAQs on Cube of 96

1.What are the perfect cubes up to 96?

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2.How do you calculate 96³?

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3.What is the meaning of 96³?

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4.What is the cube root of 96?

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5.Is 96 a perfect cube?

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6.How does learning Algebra help students in United States make better decisions in daily life?

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7.How can cultural or local activities in United States support learning Algebra topics such as Cube of 96?

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8.How do technology and digital tools in United States support learning Algebra and Cube of 96?

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9.Does learning Algebra support future career opportunities for students in United States?

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Professor Greenline from BrightChamps

Important Glossaries for Cube of 96

  • 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.

 

  • Volume Formula: A mathematical formula used to calculate the volume of a cube, given by V = Side³, where 'Side' is the length of one side of the cube.

 

  • Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number. It is denoted by the radical symbol ∛.
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About BrightChamps in United States

At BrightChamps, we believe algebra is more than just symbols—it’s a gateway to endless possibilities! Our goal is to support kids all across the United States in mastering essential math concepts, like today’s focus on the Cube of 96, especially the fascinating world of cubes—in a way that’s engaging, clear, and enjoyable. Whether your child is calculating how quickly a roller coaster zooms through Disney World, tracking scores at a Little League baseball game, or budgeting their allowance for new gadgets, understanding algebra builds the confidence they need for daily life. Our hands-on lessons make math both accessible and fun. Since children in the USA learn in diverse ways, we customize our teaching to match each student’s learning style. From the energetic streets of New York City to the sunny beaches of California, BrightChamps brings algebra to life, making it exciting and relevant across America. Let’s make cubes an exciting part of every child’s math journey!
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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.

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Fun Fact

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

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