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Last updated on May 27th, 2025

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Cube of 968

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When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is often used in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 968.

Cube of 968 for Bahraini Students
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Cube of 968

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 968 can be written as 968³, which is the exponential form. Or it can also be written in arithmetic form as, 968 × 968 × 968.

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How to Calculate the Value of Cube of 968

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. 968³ = 968 × 968 × 968 Step 2: You get 906,992,832 as the answer. Hence, the cube of 968 is 906,992,832.

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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 968 into two parts, as 900 and 68. Let a = 900 and b = 68, so a + b = 968 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 900³ 3a²b = 3 × 900² × 68 3ab² = 3 × 900 × 68² b³ = 68³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (900 + 68)³ = 900³ + 3 × 900² × 68 + 3 × 900 × 68² + 68³ 968³ = 729,000,000 + 163,080,000 + 12,484,800 + 314,432 968³ = 906,992,832 Step 5: Hence, the cube of 968 is 906,992,832.

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Using a Calculator

To find the cube of 968 using a calculator, input the number 968 and use the cube function (if available) or multiply 968 × 968 × 968. This operation calculates the value of 968³, resulting in 906,992,832. 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 6 and 8 Step 3: If the calculator has a cube function, press it to calculate 968³. Step 4: If there is no cube function on the calculator, simply multiply 968 three times manually. Step 5: The calculator will display 906,992,832.

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Tips and Tricks for the Cube of 968

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 968

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, 968 × 968 and not 968 × 968 × 968. Always remember that 968³ = 968 × 968 × 968.

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Solved Examples on Cube of 968

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Problem 1

What is the cube and cube root of 968?

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The cube of 968 is 906,992,832 and the cube root of 968 is approximately 9.844.

Explanation

First, let’s find the cube of 968. 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 968³ = 906,992,832 Next, we must find the cube root of 968 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√968 ≈ 9.844 Hence the cube of 968 is 906,992,832 and the cube root of 968 is approximately 9.844.

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Problem 2

If the side length of the cube is 968 cm, what is the volume?

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The volume is 906,992,832 cm³.

Explanation

Use the volume formula for a cube V = Side³. Substitute 968 for the side length: V = 968³ = 906,992,832 cm³.

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Problem 3

How much larger is 968³ than 900³?

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968³ – 900³ = 177,992,832.

Explanation

First, find the cube of 968³, that is 906,992,832. Next, find the cube of 900³, which is 729,000,000. Now, find the difference between them using the subtraction method. 906,992,832 – 729,000,000 = 177,992,832 Therefore, 968³ is 177,992,832 larger than 900³.

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Problem 4

If a cube with a side length of 968 cm is compared to a cube with a side length of 68 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 968 cm is 906,992,832 cm³.

Explanation

To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 968 means multiplying 968 by itself three times: 968 × 968 = 937,024, and then 937,024 × 968 = 906,992,832. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 906,992,832 cm³.

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Problem 5

Estimate the cube of 967 using the cube of 968.

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The cube of 967 is approximately 906,992,832.

Explanation

First, identify the cube of 968. The cube of 968 is 968³ = 906,992,832. Since 967 is only slightly less than 968, the cube of 967 will be almost the same as the cube of 968. The cube of 967 is approximately 906,992,832 because the difference between 967 and 968 is very small. So, we can approximate the value as 906,992,832.

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FAQs on Cube of 968

1.What are the perfect cubes up to 968?

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2.How do you calculate 968³?

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3.What is the meaning of 968³?

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4.What is the cube root of 968?

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5.Is 968 a perfect cube?

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

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7.How can cultural or local activities in Bahrain support learning Algebra topics such as Cube of 968?

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8.How do technology and digital tools in Bahrain support learning Algebra and Cube of 968?

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

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Important Glossaries for Cube of 968

Binomial Formula: An algebraic expression used to expand the powers of a number, written as (a + b)ⁿ, where ‘n’ is a positive integer. 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: 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. 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 Bahrain

At BrightChamps, algebra is more than just digits—it unlocks endless opportunities! We strive to help kids all across Bahrain develop key math skills, focusing today on the Cube of 968 with an exciting look at cubes—in a lively, clear, and enjoyable way. Whether your child is figuring out the speed of a roller coaster at Bahrain’s Wahooo! Waterpark, tracking football scores, or managing their allowance for the latest gadgets, mastering algebra gives them confidence in everyday challenges. Our interactive lessons make math easy and fun. Because kids in Bahrain learn differently, we tailor our teaching to each child’s learning style. From Manama’s lively city life to Bahrain’s peaceful beaches, BrightChamps makes algebra come alive, making it exciting and relevant across Bahrain. 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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