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Last updated on May 27th, 2025

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Cube of 872

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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 cubes of 872.

Cube of 872 for Singaporean Students
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Cube of 872

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 872 can be written as 872³, which is the exponential form. Or it can also be written in arithmetic form as, 872 × 872 × 872.

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How to Calculate the Value of Cube of 872

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 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. 872³ = 872 × 872 × 872 Step 2: You get 663,468,928 as the answer. Hence, the cube of 872 is 663,468,928.

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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 872 into two parts, as 800 and 72. Let a = 800 and b = 72, so a + b = 872 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 800³ 3a²b = 3 × 800² × 72 3ab² = 3 × 800 × 72² b³ = 72³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (800 + 72)³ = 800³ + 3 × 800² × 72 + 3 × 800 × 72² + 72³ 872³ = 512,000,000 + 138,240,000 + 124,416,000 + 373,248 872³ = 663,468,928 Step 5: Hence, the cube of 872 is 663,468,928.

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Using a Calculator

To find the cube of 872 using a calculator, input the number 872 and use the cube function (if available) or multiply 872 × 872 × 872. This operation calculates the value of 872³, resulting in 663,468,928. 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 7 and then 2 Step 3: If the calculator has a cube function, press it to calculate 872³. Step 4: If there is no cube function on the calculator, simply multiply 872 three times manually. Step 5: The calculator will display 663,468,928.

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Tips and Tricks for the Cube of 872

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 872

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, 872 × 872 and not 872 × 872 × 872. Always remember that 872³ = 872 × 872 × 872.

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Solved Examples on Cube of 872

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Problem 1

What is the cube and cube root of 872?

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The cube of 872 is 663,468,928 and the cube root of 872 is approximately 9.545.

Explanation

First, let’s find the cube of 872. We know that 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 872³ = 663,468,928 Next, we must find the cube root of 872 We know that 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 ∛872 ≈ 9.545 Hence the cube of 872 is 663,468,928 and the cube root of 872 is approximately 9.545.

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Problem 2

If the side length of the cube is 872 cm, what is the volume?

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The volume is 663,468,928 cm³.

Explanation

Use the volume formula for a cube V = Side³. Substitute 872 for the side length: V = 872³ = 663,468,928 cm³.

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Problem 3

How much larger is 872³ than 800³?

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872³ – 800³ = 151,468,928.

Explanation

First find the cube of 872, that is 663,468,928 Next, find the cube of 800, which is 512,000,000 Now, find the difference between them using the subtraction method. 663,468,928 – 512,000,000 = 151,468,928 Therefore, the 872³ is 151,468,928 larger than 800³.

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Problem 4

If a cube with a side length of 872 cm is compared to a cube with a side length of 72 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 872 cm is 663,468,928 cm³

Explanation

To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 872 means multiplying 872 by itself three times: 872 × 872 = 760,384, and then 760,384 × 872 = 663,468,928. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 663,468,928 cm³.

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Problem 5

Estimate the cube 871.5 using the cube 872.

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The cube of 871.5 is approximately 663,468,928.

Explanation

First, identify the cube of 872, The cube of 872 is 872³ = 663,468,928. Since 871.5 is only a tiny bit less than 872, the cube of 871.5 will be almost the same as the cube of 872. The cube of 871.5 is approximately 663,468,928 because the difference between 871.5 and 872 is very small. So, we can approximate the value as 663,468,928.

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FAQs on Cube of 872

1.What are the perfect cubes up to 872?

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2.How do you calculate 872³?

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3.What is the meaning of 872³?

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4.What is the cube root of 872?

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5.Is 872 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 872?

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8.How do technology and digital tools in Singapore support learning Algebra and Cube of 872?

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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 872

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 to 8. Volume of a Cube: The amount of space occupied by a cube, calculated by raising the length of one of its sides to the third power. Perfect Cube: A number that can be expressed as the cube of an integer. For example, 27 is a perfect cube because it can be written as 3³.

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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 872, 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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