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Last updated on May 27th, 2025

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Cube of 826

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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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 826.

Cube of 826 for Singaporean Students
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Cube of 826

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 multiplied by itself three times results in a negative number. The cube of 826 can be written as 826³, which is the exponential form. Or it can also be written in arithmetic form as 826 × 826 × 826.

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How to Calculate the Value of Cube of 826

To determine 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 calculate the cube of numbers faster and easier without confusion or being stuck while evaluating the answers. By Multiplication Method Using a Formula 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 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. 826³ = 826 × 826 × 826 Step 2: You get 563,975,576 as the answer. Hence, the cube of 826 is 563,975,576.

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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 826 into two parts, as 800 and 26. Let a = 800 and b = 26, so a + b = 826 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 800³ 3a²b = 3 × 800² × 26 3ab² = 3 × 800 × 26² b³ = 26³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (800 + 26)³ = 800³ + 3 × 800² × 26 + 3 × 800 × 26² + 26³ 826³ = 512,000,000 + 49,920,000 + 1,622,400 + 17,576 826³ = 563,975,576 Step 5: Hence, the cube of 826 is 563,975,576.

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Using a Calculator

To find the cube of 826 using a calculator, input the number 826 and use the cube function (if available) or multiply 826 × 826 × 826. This operation calculates the value of 826³, resulting in 563,975,576. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 8, 2, 6 Step 3: If the calculator has a cube function, press it to calculate 826³. Step 4: If there is no cube function on the calculator, simply multiply 826 three times manually. Step 5: The calculator will display 563,975,576.

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Tips and Tricks for the Cube of 826

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 826

There are some typical errors that might occur during the process of cubing a number. Let's take a look at five major mistakes that can happen:

Mistake 1

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Incorrect Multiplication

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People might multiply the numbers only twice. That is, 826 × 826 and not 826 × 826 × 826. Always remember that 826³ = 826 × 826 × 826.

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Solved Examples on Cube of 826

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Problem 1

What is the cube and cube root of 826?

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The cube of 826 is 563,975,576 and the cube root of 826 is approximately 9.412.

Explanation

First, let’s find the cube of 826. 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 826³ = 563,975,576 Next, we must find the cube root of 826 We know that the 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 ∛826 ≈ 9.412 Hence, the cube of 826 is 563,975,576 and the cube root of 826 is approximately 9.412.

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Problem 2

If the side length of a cube is 826 cm, what is the volume?

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The volume is 563,975,576 cm³.

Explanation

Use the volume formula for a cube V = Side³. Substitute 826 for the side length: V = 826³ = 563,975,576 cm³.

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Problem 3

How much larger is 826³ than 800³?

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826³ – 800³ = 51,975,576.

Explanation

First, find the cube of 826, which is 563,975,576. Next, find the cube of 800, which is 512,000,000. Now, find the difference between them using the subtraction method. 563,975,576 – 512,000,000 = 51,975,576 Therefore, 826³ is 51,975,576 larger than 800³.

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Problem 4

If a cube with a side length of 826 cm is compared to a cube with a side length of 200 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 826 cm is 563,975,576 cm³.

Explanation

To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 826 means multiplying 826 by itself three times: 826 × 826 = 682,276, and 682,276 × 826 = 563,975,576. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 563,975,576 cm³.

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Problem 5

Estimate the cube of 825.5 using the cube of 826.

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The cube of 825.5 is approximately 563,975,576.

Explanation

First, identify the cube of 826, The cube of 826 is 826³ = 563,975,576. Since 825.5 is only a tiny bit less than 826, the cube of 825.5 will be almost the same as the cube of 826. The cube of 825.5 is approximately 563,975,576 because the difference between 825.5 and 826 is very small. So, we can approximate the value as 563,975,576.

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FAQs on Cube of 826

1.What are the perfect cubes up to 826?

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2.How do you calculate 826³?

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3.What is the meaning of 826³?

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4.What is the cube root of 826?

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5.Is 826 a perfect cube?

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

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7.How can cultural or local activities in Singapore support learning Algebra topics such as Cube of 826?

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8.How do technology and digital tools in Singapore support learning Algebra and Cube of 826?

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

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Important Glossaries for Cube of 826

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. Perfect Cube: A number that can be expressed as the product of three equal integers is called a perfect cube. 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.

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About BrightChamps in Singapore

At BrightChamps, algebra is more than just digits—it opens doors to countless possibilities! We are passionate about supporting kids all across Singapore in mastering vital math skills, like today’s focus on the Cube of 826, with a special focus on cubes—in a lively, easy-to-understand, and enjoyable way. Whether your child is figuring out how fast a roller coaster moves at Universal Studios Singapore, tracking scores at local football matches, or managing their allowance for the newest gadgets, mastering algebra builds their confidence in everyday life. Our interactive lessons make math fun and approachable. Since kids in Singapore learn differently, we customize our teaching to suit each learner’s style. From the city’s bustling streets to its beautiful gardens, BrightChamps brings algebra to life, making it exciting and meaningful across Singapore. 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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