116 LearnersLast updated on May 30th, 2025
Cube of 99
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 99.
Cube of 99
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 99 can be written as 99³, which is the exponential form.
Or it can also be written in arithmetic form as, 99 × 99 × 99.
How to Calculate the Value of Cube of 99
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(a3)
- Using a Calculator
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. 99³ = 99 × 99 × 99
Step 2: You get 970,299 as the answer.
Hence, the cube of 99 is 970,299.
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 99 into two parts, as 90 and 9. Let a = 90 and b = 9, so a + b = 99
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 90³ 3a²b = 3 × 90² × 9 3ab² = 3 × 90 × 9² b³ = 9³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (90 + 9)³ = 90³ + 3 × 90² × 9 + 3 × 90 × 9² + 9³ 99³ = 729000 + 218700 + 21870 + 729 99³ = 970,299
Step 5: Hence, the cube of 99 is 970,299.
Using a Calculator
To find the cube of 99 using a calculator, input the number 99 and use the cube function (if available) or multiply 99 × 99 × 99. This operation calculates the value of 99³, resulting in 970,299. 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 9
Step 3: If the calculator has a cube function, press it to calculate 99³.
Step 4: If there is no cube function on the calculator, simply multiply 99 three times manually.
Step 5: The calculator will display 970,299.
Tips and Tricks for the Cube of 99
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.
Common Mistakes to Avoid When Calculating the Cube of 99
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
Incorrect Multiplication
Kids might multiply the numbers only twice. That is, 99 × 99 and not 99 × 99 × 99. Always remember that 99³ = 99 × 99 × 99.
Solved Examples on Cube of 99
Problem 1
What is the cube and cube root of 99?
The cube of 99 is 970,299 and the cube root of 99 is approximately 4.626.
Explanation
First, let’s find the cube of 99.
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 99³ = 970,299 Next, we must find the cube root of 99.
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√99 ≈ 4.626
Hence, the cube of 99 is 970,299 and the cube root of 99 is approximately 4.626.
Problem 2
If the side length of a cube is 99 cm, what is the volume?
The volume is 970,299 cm³.
Explanation
Use the volume formula for a cube V = Side³.
Substitute 99 for the side length: V = 99³ = 970,299 cm³.
Problem 3
How much larger is 99³ than 90³?
99³ – 90³ = 241,299.
Explanation
First, find the cube of 99, that is 970,299
Next, find the cube of 90, which is 729,000
Now, find the difference between them using the subtraction method. 970,299 – 729,000 = 241,299
Therefore, the 99³ is 241,299 larger than 90³.
Problem 4
If a cube with a side length of 99 cm is compared to a cube with a side length of 9 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 99 cm is 970,299 cm³
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 99 means multiplying 99 by itself three times: 99 × 99 = 9,801, and then 9,801 × 99 = 970,299.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 970,299 cm³.
Problem 5
Estimate the cube of 98.9 using the cube of 99.
The cube of 98.9 is approximately 970,299.
Explanation
First, identify the cube of 99,
The cube of 99 is 99³ = 970,299.
Since 98.9 is only a tiny bit less than 99, the cube of 98.9 will be almost the same as the cube of 99.
The cube of 98.9 is approximately 970,299 because the difference between 98.9 and 99 is very small.
So, we can approximate the value as 970,299.
FAQs on Cube of 99
1.What are the perfect cubes up to 99?
2.How do you calculate 99³?
3.What is the meaning of 99³?
4.What is the cube root of 99?
5.Is 99 a perfect cube?
6.How does learning Algebra help students in Oman make better decisions in daily life?
7.How can cultural or local activities in Oman support learning Algebra topics such as Cube of 99?
8.How do technology and digital tools in Oman support learning Algebra and Cube of 99?
9.Does learning Algebra support future career opportunities for students in Oman?
Important Glossaries for Cube of 99
- 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.
- 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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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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