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Last updated on May 30th, 2025

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Cube of 16

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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 when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 16.

Cube of 16 for Saudi Students
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Cube of 16

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 16 can be written as 16³, which is the exponential form. Or it can also be written in arithmetic form as 16 × 16 × 16.

 

cube of 16

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How to Calculate the Value of Cube of 16

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.

 

  1. By Multiplication Method
  2. Using a Formula
  3. Using a Calculator
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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. 16³ = 16 × 16 × 16

 

Step 2: You get 4,096 as the answer. Hence, the cube of 16 is 4,096.

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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 16 into two parts. Let a = 10 and b = 6, so a + b = 16

 

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

 

Step 3: Calculate each term

 

a³ = 10³

3a²b = 3 × 10² × 6

3ab² = 3 × 10 × 6²

b³ = 6³

 

Step 4: Add all the terms together:

 

(a + b)³ = a³ + 3a²b + 3ab² + b³

(10 + 6)³ = 10³ + 3 × 10² × 6 + 3 × 10 × 6² + 6³

16³ = 1,000 + 1,800 + 1,080 + 216

16³ = 4,096

 

Step 5: Hence, the cube of 16 is 4,096.

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Using a Calculator

To find the cube of 16 using a calculator, input the number 16 and use the cube function (if available) or multiply 16 × 16 × 16. This operation calculates the value of 16³, resulting in 4,096. 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 6

 

Step 3: If the calculator has a cube function, press it to calculate 16³.

 

Step 4: If there is no cube function on the calculator, simply multiply 16 three times manually.

 

Step 5: The calculator will display 4,096.

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Tips and Tricks for the Cube of 16

  • 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 16

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, 16 × 16 and not 16 × 16 × 16. Always remember that 16³ = 16 × 16 × 16.

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Solved Examples on Cube of 16

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Problem 1

What is the cube and cube root of 16?

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The cube of 16 is 4,096 and the cube root of 16 is approximately 2.52.

Explanation

First, let’s find the cube of 16.

 

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 16³ = 4,096.

 

Next, we must find the cube root of 16. We know that the cube root of a number ‘x’ is such that ∛x = y, where ‘x’ is the given number, and y is the cube root value of the number.

 

So, we get ∛16 ≈ 2.52.

 

Hence the cube of 16 is 4,096 and the cube root of 16 is approximately 2.52.

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Problem 2

If the side length of the cube is 16 cm, what is the volume?

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The volume is 4,096 cm³.

Explanation

Use the volume formula for a cube V = Side³.

 

Substitute 16 for the side length: V = 16³ = 4,096 cm³.

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Problem 3

How much larger is 16³ than 10³?

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16³ – 10³ = 3,096.

Explanation

First, find the cube of 16³, which is 4,096.

 

Next, find the cube of 10³, which is 1,000.

 

Now, find the difference between them using the subtraction method. 4,096 – 1,000 = 3,096.

 

Therefore, 16³ is 3,096 larger than 10³.

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Problem 4

If a cube with a side length of 16 cm is compared to a cube with a side length of 8 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 16 cm is 4,096 cm³.

Explanation

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

 

Cubing 16 means multiplying 16 by itself three times: 16 × 16 = 256, and then 256 × 16 = 4,096.

 

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

 

Therefore, the volume of the cube is 4,096 cm³.

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Problem 5

Estimate the cube of 15.9 using the cube of 16.

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The cube of 15.9 is approximately 4,096.

Explanation

First, identify the cube of 16, The cube of 16 is 16³ = 4,096.

 

Since 15.9 is only a tiny bit less than 16, the cube of 15.9 will be almost the same as the cube of 16.

 

The cube of 15.9 is approximately 4,096 because the difference between 15.9 and 16 is very small.

 

So, we can approximate the value as 4,096.

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FAQs on Cube of 16

1.What are the perfect cubes up to 16?

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2.How do you calculate 16³?

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3.What is the meaning of 16³?

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4.What is the cube root of 16?

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5.Is 16 a perfect cube?

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6.How does learning Algebra help students in Saudi Arabia make better decisions in daily life?

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7.How can cultural or local activities in Saudi Arabia support learning Algebra topics such as Cube of 16?

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8.How do technology and digital tools in Saudi Arabia support learning Algebra and Cube of 16?

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9.Does learning Algebra support future career opportunities for students in Saudi Arabia?

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Important Glossaries for Cube of 16

  • 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: The amount of space occupied by an object, often measured in cubic units. For a cube, it is calculated as side length cubed.

 

  • Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3, since 3 × 3 × 3 = 27.
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About BrightChamps in Saudi Arabia

At BrightChamps, algebra means more than just figures—it unlocks endless opportunities! Our mission is to support kids all across Saudi Arabia in learning key math concepts, including today’s focus on the Cube of 16 with a special highlight on cubes—in a fun, clear, and engaging way. Whether your child is figuring out the speed of a roller coaster at Riyadh’s Al Hokair Land, following scores at a local football match, or budgeting their allowance for the latest gadgets, mastering algebra boosts their confidence for everyday challenges. Our interactive lessons make learning simple and fun. Since kids in Saudi Arabia have different ways of learning, we customize our approach to each child’s style. From Riyadh’s bustling streets to Jeddah’s historic sites, BrightChamps brings algebra to life, making it exciting and relevant across Saudi Arabia. Let’s make cubes a fun 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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