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Last updated on May 27th, 2025

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Cube of 847

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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 the cube of 847.

Cube of 847 for Indonesian Students
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Cube of 847

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 847 can be written as 847³, which is the exponential form. Or it can also be written in arithmetic form as 847 × 847 × 847.

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How to Calculate the Value of Cube of 847

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 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 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. 847³ = 847 × 847 × 847 Step 2: You get 607,573,023 as the answer. Hence, the cube of 847 is 607,573,023.

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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 847 into two parts, such as 800 and 47. Let a = 800 and b = 47, so a + b = 847. Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³. Step 3: Calculate each term: a³ = 800³ 3a²b = 3 × 800² × 47 3ab² = 3 × 800 × 47² b³ = 47³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (800 + 47)³ = 800³ + 3 × 800² × 47 + 3 × 800 × 47² + 47³ 847³ = 512,000,000 + 150,720,000 + 53,136,000 + 103,823 847³ = 607,573,023 Step 5: Hence, the cube of 847 is 607,573,023.

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Using a Calculator

To find the cube of 847 using a calculator, input the number 847 and use the cube function (if available) or multiply 847 × 847 × 847. This operation calculates the value of 847³, resulting in 607,573,023. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Input 847. Step 3: If the calculator has a cube function, press it to calculate 847³. Step 4: If there is no cube function on the calculator, simply multiply 847 three times manually. Step 5: The calculator will display 607,573,023.

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Tips and Tricks for the Cube of 847

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 847

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, 847 × 847 and not 847 × 847 × 847. Always remember that 847³ = 847 × 847 × 847.

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Solved Examples on Cube of 847

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Problem 1

What is the cube and cube root of 847?

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The cube of 847 is 607,573,023, and the cube root of 847 is approximately 9.448.

Explanation

First, let’s find the cube of 847. We know that the cube of a number, x³ = y, where x is the given number, and y is the cubed value of that number. So, we get 847³ = 607,573,023. Next, we must find the cube root of 847. 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. Therefore, ∛847 is approximately 9.448. Hence, the cube of 847 is 607,573,023, and the cube root of 847 is approximately 9.448.

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Problem 2

If the side length of the cube is 847 cm, what is the volume?

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The volume is 607,573,023 cm³.

Explanation

Use the volume formula for a cube V = Side³. Substitute 847 for the side length: V = 847³ = 607,573,023 cm³.

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Problem 3

How much larger is 847³ than 800³?

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847³ – 800³ = 95,573,023.

Explanation

First, find the cube of 847³, which is 607,573,023. Next, find the cube of 800³, which is 512,000,000. Now, find the difference between them using the subtraction method. 607,573,023 – 512,000,000 = 95,573,023. Therefore, 847³ is 95,573,023 larger than 800³.

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Problem 4

If a cube with a side length of 847 cm is compared to a cube with a side length of 100 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 847 cm is 607,573,023 cm³.

Explanation

To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 847 means multiplying 847 by itself three times: 847 × 847 = 717,409, and then 717,409 × 847 = 607,573,023. The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube. Therefore, the volume of the cube is 607,573,023 cm³.

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Problem 5

Estimate the cube of 846.9 using the cube of 847.

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The cube of 846.9 is approximately 607,573,023.

Explanation

First, identify the cube of 847. The cube of 847 is 847³ = 607,573,023. Since 846.9 is only a tiny bit less than 847, the cube of 846.9 will be almost the same as the cube of 847. The cube of 846.9 is approximately 607,573,023 because the difference between 846.9 and 847 is very small. So, we can approximate the value as 607,573,023.

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FAQs on Cube of 847

1.What are the perfect cubes up to 847?

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2.How do you calculate 847³?

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3.What is the meaning of 847³?

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4.What is the cube root of 847?

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5.Is 847 a perfect cube?

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

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7.How can cultural or local activities in Indonesia support learning Algebra topics such as Cube of 847?

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8.How do technology and digital tools in Indonesia support learning Algebra and Cube of 847?

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

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Important Glossaries for Cube of 847

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, equaling 8. Perfect Cube: A number that can be expressed as the cube of an integer. Volume of a Cube: The amount of space occupied by a cube, calculated as the side length raised to the third power.

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About BrightChamps in Indonesia

At BrightChamps, algebra is more than just symbols—it opens up a world of possibilities! We are passionate about helping children throughout Indonesia develop key math skills, with today’s spotlight on the Cube of 847 and a special focus on cubes—in an engaging, clear, and enjoyable way. Whether your child is figuring out the speed of a roller coaster at Dunia Fantasi, keeping track of scores at a local badminton match, or managing their allowance for the latest gadgets, mastering algebra gives them the confidence to tackle everyday problems. Our interactive sessions make learning both fun and simple. Because kids in Indonesia have different learning styles, we adjust our methods to suit each child’s needs. From Jakarta’s busy streets to Bali’s stunning beaches, BrightChamps brings algebra to life, making it exciting and meaningful across Indonesia. 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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