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

Last updated on May 26th, 2025

Math Whiteboard Illustration

Cube of 353

Professor Greenline Explaining Math Concepts

When a number is multiplied by itself three times, the resultant number is called the cube of that number. Cubing is used when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 353.

Cube of 353 for Filipino Students
Professor Greenline from BrightChamps

Cube of 353

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 multiplying a negative number by itself three times results in a negative number. The cube of 353 can be written as 353³, which is the exponential form. Or it can also be written in arithmetic form as 353 × 353 × 353.

Professor Greenline from BrightChamps

How to Calculate the Value of Cube of 353

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 individuals cube 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. 353³ = 353 × 353 × 353 Step 2: You get 44,036,077 as the answer. Hence, the cube of 353 is 44,036,077.

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 353 into two parts. Let a = 350 and b = 3, so a + b = 353 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 350³ 3a²b = 3 × 350² × 3 3ab² = 3 × 350 × 3² b³ = 3³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (350 + 3)³ = 350³ + 3 × 350² × 3 + 3 × 350 × 3² + 3³ 353³ = 42,875,000 + 1,102,500 + 9,450 + 27 353³ = 44,036,077 Step 5: Hence, the cube of 353 is 44,036,077.

Professor Greenline from BrightChamps

Using a Calculator

To find the cube of 353 using a calculator, input the number 353 and use the cube function (if available) or multiply 353 × 353 × 353. This operation calculates the value of 353³, resulting in 44,036,077. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 3 followed by 5 and 3 Step 3: If the calculator has a cube function, press it to calculate 353³. Step 4: If there is no cube function on the calculator, simply multiply 353 three times manually. Step 5: The calculator will display 44,036,077.

Professor Greenline from BrightChamps

Tips and Tricks for the Cube of 353

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 353

There are some typical errors that individuals might make during the process of cubing a number. Let us take a look at five of the major mistakes that might occur:

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

Individuals might multiply the numbers only twice. That is, 353 × 353 and not 353 × 353 × 353. Always remember that 353³ = 353 × 353 × 353.

Max from BrightChamps Saying "Hey"

Solved Examples on Cube of 353

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

Problem 1

What is the cube and cube root of 353?

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

The cube of 353 is 44,036,077 and the cube root of 353 is approximately 7.059.

Explanation

First, let’s find the cube of 353. 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 353³ = 44,036,077 Next, we must find the cube root of 353. 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 ∛353 ≈ 7.059 Hence, the cube of 353 is 44,036,077 and the cube root of 353 is approximately 7.059.

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

Problem 2

If the side length of the cube is 353 cm, what is the volume?

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

The volume is 44,036,077 cm³.

Explanation

Use the volume formula for a cube V = Side³. Substitute 353 for the side length: V = 353³ = 44,036,077 cm³.

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

Problem 3

How much larger is 353³ than 343³?

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

353³ – 343³ = 6,943,837.

Explanation

First find the cube of 353³, which is 44,036,077. Next, find the cube of 343³, which is 37,092,240. Now, find the difference between them using the subtraction method. 44,036,077 – 37,092,240 = 6,943,837 Therefore, 353³ is 6,943,837 larger than 343³.

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

Problem 4

If a cube with a side length of 353 cm is compared to a cube with a side length of 3 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 353 cm is 44,036,077 cm³.

Explanation

To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 353 means multiplying 353 by itself three times: 353 × 353 = 124,609, and then 124,609 × 353 = 44,036,077. The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube. Therefore, the volume of the cube is 44,036,077 cm³.

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

Problem 5

Estimate the cube of 352.5 using the cube of 353.

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

The cube of 352.5 is approximately 44,036,077.

Explanation

First, identify the cube of 353, The cube of 353 is 353³ = 44,036,077. Since 352.5 is very close to 353, the cube of 352.5 will be almost the same as the cube of 353. The cube of 352.5 is approximately 44,036,077 because the difference between 352.5 and 353 is very small. So, we can approximate the value as 44,036,077.

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

FAQs on Cube of 353

1.What are the perfect cubes up to 353?

Math FAQ Answers Dropdown Arrow

2.How do you calculate 353³?

Math FAQ Answers Dropdown Arrow

3.What is the meaning of 353³?

Math FAQ Answers Dropdown Arrow

4.What is the cube root of 353?

Math FAQ Answers Dropdown Arrow

5.Is 353 a perfect cube?

Math FAQ Answers Dropdown Arrow

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

Math FAQ Answers Dropdown Arrow

7.How can cultural or local activities in Philippines support learning Algebra topics such as Cube of 353?

Math FAQ Answers Dropdown Arrow

8.How do technology and digital tools in Philippines support learning Algebra and Cube of 353?

Math FAQ Answers Dropdown Arrow

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

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Cube of 353

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: 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. Cube Root: A number that produces a given number when cubed. For example, the cube root of 8 is 2 because 2³ = 8.

Professor Greenline from BrightChamps

About BrightChamps in Philippines

At BrightChamps, algebra is more than just numbers—it’s the key to unlocking many opportunities! We dedicate ourselves to helping kids across the Philippines grasp important math concepts, including today’s focus on the Cube of 353 with a special emphasis on cubes—in an engaging, clear, and fun way. Whether your child is calculating the speed of a roller coaster at Enchanted Kingdom, following basketball scores, or managing their allowance to buy new gadgets, mastering algebra builds their confidence for everyday challenges. Our interactive lessons make math learning fun and easy. Because kids in the Philippines learn in diverse ways, we tailor our approach to each child’s unique style. From Manila’s busy streets to Palawan’s stunning islands, BrightChamps makes algebra exciting and relatable throughout the Philippines. Let’s make cubes a fun part of every child’s math adventure!
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