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Last updated on May 27th, 2025

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Cube of 891

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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 891.

Cube of 891 for Indonesian Students
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Cube of 891

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 891 can be written as 891³, which is the exponential form. Or it can also be written in arithmetic form as, 891 × 891 × 891.

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How to Calculate the Value of Cube of 891

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 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. 891³ = 891 × 891 × 891 Step 2: You get 707,328,171 as the answer. Hence, the cube of 891 is 707,328,171.

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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 891 into two parts, as 800 and 91. Let a = 800 and b = 91, so a + b = 891 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 800³ 3a²b = 3 × 800² × 91 3ab² = 3 × 800 × 91² b³ = 91³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (800 + 91)³ = 800³ + 3 × 800² × 91 + 3 × 800 × 91² + 91³ 891³ = 512,000,000 + 174,720,000 + 19,834,800 + 753,571 891³ = 707,328,171 Step 5: Hence, the cube of 891 is 707,328,171.

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Using a Calculator

To find the cube of 891 using a calculator, input the number 891 and use the cube function (if available) or multiply 891 × 891 × 891. This operation calculates the value of 891³, resulting in 707,328,171. 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 9, then 1. Step 3: If the calculator has a cube function, press it to calculate 891³. Step 4: If there is no cube function on the calculator, simply multiply 891 three times manually. Step 5: The calculator will display 707,328,171.

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Tips and Tricks for the Cube of 891

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 891

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, 891 × 891 and not 891 × 891 × 891. Always remember that 891³ = 891 × 891 × 891.

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Solved Examples on Cube of 891

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Problem 1

What is the cube and cube root of 891?

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The cube of 891 is 707,328,171, and the cube root of 891 is approximately 9.634.

Explanation

First, let’s find the cube of 891. We know that the cube of a number is x³ = y Where x is the given number, and y is the cubed value of that number. So, we get 891³ = 707,328,171. Next, we must find the cube root of 891. We know that the cube root of a number x is √x = y. Where x is the given number, and y is the cube root value of the number. So, we get √891 ≈ 9.634. Hence, the cube of 891 is 707,328,171, and the cube root of 891 is approximately 9.634.

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Problem 2

If the side length of the cube is 891 cm, what is the volume?

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The volume is 707,328,171 cm³.

Explanation

Use the volume formula for a cube V = Side³. Substitute 891 for the side length: V = 891³ = 707,328,171 cm³.

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Problem 3

How much larger is 891³ than 800³?

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891³ – 800³ = 195,328,171.

Explanation

First find the cube of 891³, that is 707,328,171. Next, find the cube of 800³, which is 512,000,000. Now, find the difference between them using the subtraction method. 707,328,171 – 512,000,000 = 195,328,171. Therefore, 891³ is 195,328,171 larger than 800³.

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Problem 4

If a cube with a side length of 891 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 891 cm is 707,328,171 cm³.

Explanation

To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 891 means multiplying 891 by itself three times: 891 × 891 = 793,881, and then 793,881 × 891 = 707,328,171. The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube. Therefore, the volume of the cube is 707,328,171 cm³.

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Problem 5

Estimate the cube of 890 using the cube of 891.

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The cube of 890 is approximately 707,328,171.

Explanation

First, identify the cube of 891, The cube of 891 is 891³ = 707,328,171. Since 890 is only a tiny bit less than 891, the cube of 890 will be almost the same as the cube of 891. The cube of 890 is approximately 707,328,171 because the difference between 890 and 891 is very small. So, we can approximate the value as 707,328,171.

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FAQs on Cube of 891

1.What are the perfect cubes up to 891?

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2.How do you calculate 891³?

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3.What is the meaning of 891³?

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4.What is the cube root of 891?

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5.Is 891 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 891?

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8.How do technology and digital tools in Indonesia support learning Algebra and Cube of 891?

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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 891

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 cube of an integer. Volume: The amount of space that a substance or object occupies, or that is enclosed within a container, usually expressed in cubic units.

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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 891 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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