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Last updated on May 27th, 2025

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Cube of 843

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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 843.

Cube of 843 for US Students
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Cube of 843

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 843 can be written as 843³, which is the exponential form. Or it can also be written in arithmetic form as, 843 × 843 × 843.

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How to Calculate the Value of Cube of 843

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

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By Multiplication Method

The multiplication method is a process in mathematics used to find the product of a number by combining it 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. 843³ = 843 × 843 × 843 Step 2: You get 598,714,907 as the answer. Hence, the cube of 843 is 598,714,907.

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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 843 into two parts. Let a = 800 and b = 43, so a + b = 843 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 800³ 3a²b = 3 × 800² × 43 3ab² = 3 × 800 × 43² b³ = 43³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (800 + 43)³ = 800³ + 3 × 800² × 43 + 3 × 800 × 43² + 43³ 843³ = 512,000,000 + 82,560,000 + 44,352,000 + 79,507 843³ = 598,714,907 Step 5: Hence, the cube of 843 is 598,714,907.

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Using a Calculator

To find the cube of 843 using a calculator, input the number 843 and use the cube function (if available) or multiply 843 × 843 × 843. This operation calculates the value of 843³, resulting in 598,714,907. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Input 843 Step 3: If the calculator has a cube function, press it to calculate 843³. Step 4: If there is no cube function on the calculator, simply multiply 843 three times manually. Step 5: The calculator will display 598,714,907.

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Tips and Tricks for the Cube of 843

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 843

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, 843 × 843 and not 843 × 843 × 843. Always remember that 843³ = 843 × 843 × 843.

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Solved Examples on Cube of 843

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Problem 1

What is the cube and cube root of 843?

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The cube of 843 is 598,714,907 and the cube root of 843 is approximately 9.448.

Explanation

First, let’s find the cube of 843. 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 843³ = 598,714,907 Next, we must find the cube root of 843 We know that the cube root of a number ‘x’, such that ³√x = y Where ‘x’ is the given number, and y is the cube root value of the number So, we get ³√843 ≈ 9.448 Hence the cube of 843 is 598,714,907 and the cube root of 843 is approximately 9.448.

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Problem 2

If the side length of the cube is 843 cm, what is the volume?

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The volume is 598,714,907 cm³.

Explanation

Use the volume formula for a cube V = Side³. Substitute 843 for the side length: V = 843³ = 598,714,907 cm³.

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Problem 3

How much larger is 843³ than 800³?

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843³ – 800³ = 86,714,907.

Explanation

First find the cube of 843, that is 598,714,907 Next, find the cube of 800, which is 512,000,000 Now, find the difference between them using the subtraction method. 598,714,907 – 512,000,000 = 86,714,907 Therefore, 843³ is 86,714,907 larger than 800³.

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Problem 4

If a cube with a side length of 843 cm is compared to a cube with a side length of 43 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 843 cm is 598,714,907 cm³

Explanation

To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 843 means multiplying 843 by itself three times: 843 × 843 = 710,649, and then 710,649 × 843 = 598,714,907. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 598,714,907 cm³.

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Problem 5

Estimate the cube 842.9 using the cube 843.

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The cube of 842.9 is approximately 598,714,907.

Explanation

First, identify the cube of 843, The cube of 843 is 843³ = 598,714,907. Since 842.9 is only a tiny bit less than 843, the cube of 842.9 will be almost the same as the cube of 843. The cube of 842.9 is approximately 598,714,907 because the difference between 842.9 and 843 is very small. So, we can approximate the value as 598,714,907.

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FAQs on Cube of 843

1.What are the perfect cubes up to 843?

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2.How do you calculate 843³?

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3.What is the meaning of 843³?

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4.What is the cube root of 843?

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5.Is 843 a perfect cube?

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

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7.How can cultural or local activities in United States support learning Algebra topics such as Cube of 843?

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8.How do technology and digital tools in United States support learning Algebra and Cube of 843?

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

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Important Glossaries for Cube of 843

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 a 3-dimensional object occupies, calculated as the cube's side length raised to the third power. Cube Root: The number which produces a given number when cubed. It is expressed using the radical sign with an index of three. For example, the cube root of 8 is 2, since 2³ = 8.

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About BrightChamps in United States

At BrightChamps, we believe algebra is more than just symbols—it’s a gateway to endless possibilities! Our goal is to support kids all across the United States in mastering essential math concepts, like today’s focus on the Cube of 843, especially the fascinating world of cubes—in a way that’s engaging, clear, and enjoyable. Whether your child is calculating how quickly a roller coaster zooms through Disney World, tracking scores at a Little League baseball game, or budgeting their allowance for new gadgets, understanding algebra builds the confidence they need for daily life. Our hands-on lessons make math both accessible and fun. Since children in the USA learn in diverse ways, we customize our teaching to match each student’s learning style. From the energetic streets of New York City to the sunny beaches of California, BrightChamps brings algebra to life, making it exciting and relevant across America. Let’s make cubes an exciting 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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