BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon103 Learners

Last updated on June 2nd, 2025

Math Whiteboard Illustration

Cube of 448

Professor Greenline Explaining Math Concepts

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 448.

Cube of 448 for Qatari Students
Professor Greenline from BrightChamps

Cube of 448

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 448 can be written as 448³, which is the exponential form. Or it can also be written in arithmetic form as, 448 × 448 × 448.

 

cube of 448

Professor Greenline from BrightChamps

How to Calculate the Value of Cube of 448

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
     
  • Using a Calculator
Professor Greenline from BrightChamps

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.

448³ = 448 × 448 × 448.

 

Step 2: You get 89,479,552 as the answer.

 

Hence, the cube of 448 is 89,479,552.

Professor Greenline from BrightChamps

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 448 into two parts.

Let a = 400 and b = 48, so a + b = 448

 

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

 

Step 3: Calculate each term

a³ = 400³

3a²b = 3 × 400² × 48

3ab² = 3 × 400 × 48²

b³ = 48³

 

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(400 + 48)³ = 400³ + 3 × 400² × 48 + 3 × 400 × 48² + 48³

448³ = 64,000,000 + 23,040,000 + 2,764,800 + 110,592 448³ = 89,479,392.

 

Step 5: Hence, the cube of 448 is 89,479,392.

Professor Greenline from BrightChamps

Using a Calculator

To find the cube of 448 using a calculator, input the number 448 and use the cube function (if available) or multiply 448 × 448 × 448. This operation calculates the value of 448³, resulting in 89,479,392. It’s a quick way to determine the cube without manual computation.

 

Step 1: Ensure the calculator is functioning properly.

 

Step 2: Press 4, followed by 4, then 8.

 

Step 3: If the calculator has a cube function, press it to calculate 448³.

 

Step 4: If there is no cube function on the calculator, simply multiply 448 three times manually.

 

Step 5: The calculator will display 89,479,392.

Professor Greenline from BrightChamps

Tips and Tricks for the Cube of 448

  • 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.
Max Pointing Out Common Math Mistakes

Common Mistakes to Avoid When Calculating the Cube of 448

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

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Incorrect Multiplication

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Kids might multiply the numbers only twice. That is, 448 × 448 and not 448 × 448 × 448. Always remember that 448³ = 448 × 448 × 448.

Max from BrightChamps Saying "Hey"

Solved Examples on Cube of 448

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

What is the cube and cube root of 448?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The cube of 448 is 89,479,392 and the cube root of 448 is approximately 7.659.

Explanation

First, let’s find the cube of 448.

 

We know that 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 448³ = 89,479,392.

 

Next, we must find the cube root of 448.

 

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 ∛448 ≈ 7.659.

 

Hence the cube of 448 is 89,479,392 and the cube root of 448 is approximately 7.659.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

If the side length of the cube is 448 cm, what is the volume?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The volume is 89,479,392 cm³.

Explanation

Use the volume formula for a cube V = Side³.

 

Substitute 448 for the side length: V = 448³ = 89,479,392 cm³.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

How much larger is 448³ than 400³?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

448³ – 400³ = 25,479,392.

Explanation

First find the cube of 448³, that is 89,479,392.

 

Next, find the cube of 400³, which is 64,000,000.

 

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

 

89,479,392 – 64,000,000 = 25,479,392.

 

Therefore, the 448³ is 25,479,392 larger than 400³.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

If a cube with a side length of 448 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The volume of the cube with a side length of 448 cm is 89,479,392 cm³.

Explanation

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

 

Cubing 448 means multiplying 448 by itself three times: 448 × 448 = 200,704, and then 200,704 × 448 = 89,479,392.

 

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

 

Therefore, the volume of the cube is 89,479,392 cm³.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

Estimate the cube 447.9 using the cube 448.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The cube of 447.9 is approximately 89,479,392.

Explanation

First, identify the cube of 448,

 

The cube of 448 is 448³ = 89,479,392.

 

Since 447.9 is only a tiny bit less than 448, the cube of 447.9 will be almost the same as the cube of 448.

 

The cube of 447.9 is approximately 89,479,392 because the difference between 447.9 and 448 is very small.

 

So, we can approximate the value as 89,479,392.

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on Cube of 448

1.What are the perfect cubes up to 448?

Math FAQ Answers Dropdown Arrow

2.How do you calculate 448³?

Math FAQ Answers Dropdown Arrow

3.What is the meaning of 448³?

Math FAQ Answers Dropdown Arrow

4.What is the cube root of 448?

Math FAQ Answers Dropdown Arrow

5.Is 448 a perfect cube?

Math FAQ Answers Dropdown Arrow

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

Math FAQ Answers Dropdown Arrow

7.How can cultural or local activities in Qatar support learning Algebra topics such as Cube of 448?

Math FAQ Answers Dropdown Arrow

8.How do technology and digital tools in Qatar support learning Algebra and Cube of 448?

Math FAQ Answers Dropdown Arrow

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

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Cube of 448

  • 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: The formula to calculate the volume of a cube is V = Side³, where the side is the length of one edge of the cube.

 

  • Perfect Cube: A number that can be expressed as the cube of an integer.
Professor Greenline from BrightChamps

About BrightChamps in Qatar

At BrightChamps, algebra is much more than digits—it’s the key to countless possibilities! We are dedicated to helping kids across Qatar master vital math concepts, like today’s focus on the Cube of 448, with a special emphasis on cubes—in an engaging, clear, and enjoyable way. Whether your child is calculating the speed of a roller coaster at Qatar’s Angry Birds World, keeping track of football scores, or managing their allowance to buy the latest gadgets, mastering algebra builds their everyday confidence. Our interactive lessons keep learning fun and accessible. Because children in Qatar learn in various ways, we customize our approach to fit each child’s unique style. From Doha’s modern cityscape to its desert surroundings, BrightChamps makes algebra exciting and relatable across Qatar. Let’s make cubes a fun part of every child’s math journey!
Math Teacher Background Image
Math Teacher Image

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.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

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

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom