BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon100 Learners

Last updated on May 27th, 2025

Math Whiteboard Illustration

Cube of 862

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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 862.

Cube of 862 for UAE Students
Professor Greenline from BrightChamps

Cube of 862

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 862 can be written as \(862^3\), which is the exponential form. Or it can also be written in arithmetic form as, \(862 \times 862 \times 862\).

Professor Greenline from BrightChamps

How to Calculate the Value of Cube of 862

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 (\(a^3\)), 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. \(862^3 = 862 \times 862 \times 862\) Step 2: You get 640,998,328 as the answer. Hence, the cube of 862 is 640,998,328.

Professor Greenline from BrightChamps

Using a Formula (\(a^3\))

The formula \((a + b)^3\) is a binomial formula for finding the cube of a number. The formula is expanded as \(a^3 + 3a^2b + 3ab^2 + b^3\). Step 1: Split the number 862 into two parts, as \(800\) and \(62\). Let \(a = 800\) and \(b = 62\), so \(a + b = 862\). Step 2: Now, apply the formula \((a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3\). Step 3: Calculate each term: \(a^3 = 800^3\) \(3a^2b = 3 \times 800^2 \times 62\) \(3ab^2 = 3 \times 800 \times 62^2\) \(b^3 = 62^3\) Step 4: Add all the terms together: \((a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3\) \((800 + 62)^3 = 800^3 + 3 \times 800^2 \times 62 + 3 \times 800 \times 62^2 + 62^3\) \(862^3 = 512,000,000 + 119,040,000 + 14,841,600 + 238,328\) \(862^3 = 640,998,328\) Step 5: Hence, the cube of 862 is 640,998,328.

Professor Greenline from BrightChamps

Using a Calculator

To find the cube of 862 using a calculator, input the number 862 and use the cube function (if available) or multiply \(862 \times 862 \times 862\). This operation calculates the value of \(862^3\), resulting in 640,998,328. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 8 followed by 6 and 2. Step 3: If the calculator has a cube function, press it to calculate \(862^3\). Step 4: If there is no cube function on the calculator, simply multiply 862 three times manually. Step 5: The calculator will display 640,998,328.

Professor Greenline from BrightChamps

Tips and Tricks for the Cube of 862

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 862

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, \(862 \times 862\) and not \(862 \times 862 \times 862\). Always remember that \(862^3 = 862 \times 862 \times 862\).

Max from BrightChamps Saying "Hey"

Solved Examples on Cube of 862

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

Problem 1

What is the cube and cube root of 862?

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

The cube of 862 is 640,998,328, and the cube root of 862 is approximately 9.545.

Explanation

First, let’s find the cube of 862. We know that the cube of a number is such that \(x^3 = y\), where \(x\) is the given number, and \(y\) is the cubed value of that number. So, we get \(862^3 = 640,998,328\). Next, we must find the cube root of 862. We know that the cube root of a number \(x\) is such that \(\sqrt[3]{x} = y\), where \(x\) is the given number, and \(y\) is the cube root value of the number. So, we get \(\sqrt[3]{862} \approx 9.545\). Hence, the cube of 862 is 640,998,328, and the cube root of 862 is approximately 9.545.

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

Problem 2

If the side length of the cube is 862 cm, what is the volume?

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

The volume is 640,998,328 cm\(^3\).

Explanation

Use the volume formula for a cube \(V = \text{Side}^3\). Substitute 862 for the side length: \(V = 862^3 = 640,998,328 \text{ cm}^3\).

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

Problem 3

How much larger is 862\(^3\) than 800\(^3\)?

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

\(862^3 - 800^3 = 128,998,328\).

Explanation

First, find the cube of \(862^3\), which is 640,998,328. Next, find the cube of \(800^3\), which is 512,000,000. Now, find the difference between them using the subtraction method. 640,998,328 - 512,000,000 = 128,998,328. Therefore, \(862^3\) is 128,998,328 larger than \(800^3\).

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

Problem 4

If a cube with a side length of 862 cm is compared to a cube with a side length of 62 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 862 cm is 640,998,328 cm\(^3\).

Explanation

To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 862 means multiplying 862 by itself three times: \(862 \times 862 = 743,044\), and then \(743,044 \times 862 = 640,998,328\). The unit of volume is cubic centimeters (cm\(^3\)) because we are calculating the space inside the cube. Therefore, the volume of the cube is 640,998,328 cm\(^3\).

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

Problem 5

Estimate the cube of 861.9 using the cube of 862.

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

The cube of 861.9 is approximately 640,998,328.

Explanation

First, identify the cube of 862. The cube of 862 is \(862^3 = 640,998,328\). Since 861.9 is only a tiny bit less than 862, the cube of 861.9 will be almost the same as the cube of 862. The cube of 861.9 is approximately 640,998,328 because the difference between 861.9 and 862 is very small. So, we can approximate the value as 640,998,328.

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

FAQs on Cube of 862

1.What are the perfect cubes up to 862?

Math FAQ Answers Dropdown Arrow

2.How do you calculate \(862^3\)?

Math FAQ Answers Dropdown Arrow

3.What is the meaning of \(862^3\)?

Math FAQ Answers Dropdown Arrow

4.What is the cube root of 862?

Math FAQ Answers Dropdown Arrow

5.Is 862 a perfect cube?

Math FAQ Answers Dropdown Arrow

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

Math FAQ Answers Dropdown Arrow

7.How can cultural or local activities in United Arab Emirates support learning Algebra topics such as Cube of 862?

Math FAQ Answers Dropdown Arrow

8.How do technology and digital tools in United Arab Emirates support learning Algebra and Cube of 862?

Math FAQ Answers Dropdown Arrow

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

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Cube of 862

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, \(2^3\) represents \(2 \times 2 \times 2\) equals 8. Perfect Cube: A number that can be expressed as the cube of an integer. Cube Root: The number that, when used as a factor three times, gives the original number.

Professor Greenline from BrightChamps

About BrightChamps in United Arab Emirates

At BrightChamps, algebra is more than just digits—it’s a gateway to infinite possibilities! We focus on helping kids across the UAE develop essential math skills, with today’s spotlight on the Cube of 862, especially exploring cubes—in a lively, simple, and enjoyable manner. Whether your child is working out the speed of a roller coaster at Dubai Parks and Resorts, keeping track of scores at local sports events, or managing their allowance for the latest gadgets, mastering algebra helps them gain confidence in daily life. Our interactive lessons make math fun and accessible. Because children in the UAE learn differently, we adapt our teaching to fit their individual learning styles. From Dubai’s towering skyscrapers to Abu Dhabi’s cultural heritage, BrightChamps makes algebra come alive across the UAE. Let’s make cubes a delightful 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