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Last updated on May 27th, 2025

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Cube of 924

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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 924.

Cube of 924 for UK Students
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Cube of 924

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 924 can be written as 924³, which is the exponential form. Or it can also be written in arithmetic form as, 924 × 924 × 924.

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How to Calculate the Value of Cube of 924

In order to check whether a number is a cube number or not, we can use the following three methods, such as the 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. 924³ = 924 × 924 × 924 Step 2: You get 788,299,344 as the answer. Hence, the cube of 924 is 788,299,344.

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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 924 into two parts, as 900 and 24. Let a = 900 and b = 24, so a + b = 924 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 900³ 3a²b = 3 × 900² × 24 3ab² = 3 × 900 × 24² b³ = 24³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (900 + 24)³ = 900³ + 3 × 900² × 24 + 3 × 900 × 24² + 24³ 924³ = 729,000,000 + 58,320,000 + 15,552,000 + 13,824 924³ = 788,299,344 Step 5: Hence, the cube of 924 is 788,299,344.

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Using a Calculator

To find the cube of 924 using a calculator, input the number 924 and use the cube function (if available) or multiply 924 × 924 × 924. This operation calculates the value of 924³, resulting in 788,299,344. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 9 followed by 2 and 4 Step 3: If the calculator has a cube function, press it to calculate 924³. Step 4: If there is no cube function on the calculator, simply multiply 924 three times manually. Step 5: The calculator will display 788,299,344.

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Tips and Tricks for the Cube of 924

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 924

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, 924 × 924 and not 924 × 924 × 924. Always remember that 924³ = 924 × 924 × 924.

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Solved Examples on Cube of 924

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Problem 1

What is the cube and cube root of 924?

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The cube of 924 is 788,299,344 and the cube root of 924 is approximately 9.731.

Explanation

First, let’s find the cube of 924. 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 924³ = 788,299,344 Next, we must find the cube root of 924 We know that 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√924 ≈ 9.731 Hence the cube of 924 is 788,299,344 and the cube root of 924 is approximately 9.731.

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Problem 2

If the side length of the cube is 924 cm, what is the volume?

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The volume is 788,299,344 cm³.

Explanation

Use the volume formula for a cube V = Side³. Substitute 924 for the side length: V = 924³ = 788,299,344 cm³.

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Problem 3

How much larger is 924³ than 900³?

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924³ - 900³ = 59,299,344.

Explanation

First, find the cube of 924, which is 788,299,344 Next, find the cube of 900, which is 729,000,000 Now, find the difference between them using the subtraction method. 788,299,344 – 729,000,000 = 59,299,344 Therefore, 924³ is 59,299,344 larger than 900³.

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Problem 4

If a cube with a side length of 924 cm is compared to a cube with a side length of 24 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 924 cm is 788,299,344 cm³.

Explanation

To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 924 means multiplying 924 by itself three times: 924 × 924 = 853,776, and then 853,776 × 924 = 788,299,344. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 788,299,344 cm³.

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Problem 5

Estimate the cube 923.5 using the cube 924.

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The cube of 923.5 is approximately 788,299,344.

Explanation

First, identify the cube of 924, The cube of 924 is 924³ = 788,299,344. Since 923.5 is only a tiny bit less than 924, the cube of 923.5 will be almost the same as the cube of 924. The cube of 923.5 is approximately 788,299,344 because the difference between 923.5 and 924 is very small. So, we can approximate the value as 788,299,344.

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FAQs on Cube of 924

1.What are the perfect cubes up to 924?

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2.How do you calculate 924³?

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3.What is the meaning of 924³?

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4.What is the cube root of 924?

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5.Is 924 a perfect cube?

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

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7.How can cultural or local activities in United Kingdom support learning Algebra topics such as Cube of 924?

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8.How do technology and digital tools in United Kingdom support learning Algebra and Cube of 924?

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

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Important Glossaries for Cube of 924

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, 3³ represents 3 × 3 × 3 equals 27. Volume of a Cube: Volume of a cube is calculated by cubing the side length, V = Side³. Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number.

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About BrightChamps in United Kingdom

At BrightChamps, we know algebra is more than just figures—it’s a doorway to endless opportunities! Our mission is to help children across the United Kingdom grasp vital math skills, like today’s spotlight on the Cube of 924, with an exciting focus on understanding cubes—in a lively, straightforward, and enjoyable way. Whether your child is figuring out the speed of a roller coaster at Alton Towers, keeping score at a local football match, or managing pocket money for the latest gadgets, mastering algebra gives them the confidence to face everyday challenges. Our interactive sessions keep learning fun and simple. Because children in the UK have different ways of learning, we adapt our approach to fit their unique styles. From London’s busy streets to the scenic Cornwall coast, BrightChamps makes algebra relatable and thrilling throughout the UK. Let’s turn cubes into a fun part of every child’s math adventure!
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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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