116 LearnersLast updated on May 30th, 2025
Cube of 100
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 100.
Cube of 100
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 100 can be written as 100³, which is the exponential form.
Or it can also be written in arithmetic form as, 100 × 100 × 100.
How to Calculate the Value of Cube of 100
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 (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. 100³ = 100 × 100 × 100
Step 2: You get 1,000,000 as the answer.
Hence, the cube of 100 is 1,000,000.
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 100 into two parts, as and . Let a = 90 and b = 10, so a + b = 100
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³= 90³ 3a²b = 3 × 90² × 10 3ab² = 3 × 90 × 10² b³ = 10³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (90 + 10)³ = 90³ + 3 × 90² × 10 + 3 × 90 × 10² + 10³ 100³ = 729,000 + 243,000 + 27,000 + 1,000 100³ = 1,000,000
Step 5: Hence, the cube of 100 is 1,000,000.
Using a Calculator
To find the cube of 100 using a calculator, input the number 100 and use the cube function (if available) or multiply 100 × 100 × 100. This operation calculates the value of 100³, resulting in 1,000,000. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 1 followed by 0, and then another 0
Step 3: If the calculator has a cube function, press it to calculate 100³.
Step 4: If there is no cube function on the calculator, simply multiply 100 three times manually.
Step 5: The calculator will display 1,000,000.
Tips and Tricks for the Cube of 100
- 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 100
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, 100 × 100 and not 100 × 100 × 100. Always remember that 100³ = 100 × 100 × 100.
Solved Examples on Cube of 100
Problem 1
What is the cube and cube root of 100?
The cube of 100 is 1,000,000 and the cube root of 100 is approximately 4.6416.
Explanation
First, let’s find the cube of 100.
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 100³ = 1,000,000. Next, we must find the cube root of 100.
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√100 ≈ 4.6416. Hence the cube of 100 is 1,000,000 and the cube root of 100 is approximately 4.6416.
Problem 2
If the side length of the cube is 100 cm, what is the volume?
The volume is 1,000,000 cm³.
Explanation
Use the volume formula for a cube V = Side³.
Substitute 100 for the side length: V = 100³ = 1,000,000 cm³.
Problem 3
How much larger is 100³ than 90³?
100³ – 90³ = 271,000.
Explanation
First, find the cube of 100³, that is 1,000,000.
Next, find the cube of 90³, which is 729,000.
Now, find the difference between them using the subtraction method. 1,000,000 – 729,000 = 271,000.
Therefore, 100³ is 271,000 larger than 90³.
Problem 4
If a cube with a side length of 100 cm is compared to a cube with a side length of 10 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 100 cm is 1,000,000 cm³.
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 100 means multiplying 100 by itself three times: 100 × 100 = 10,000, and then 10,000 × 100 = 1,000,000.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 1,000,000 cm³.
Problem 5
Estimate the cube 99.9 using the cube 100.
The cube of 99.9 is approximately 1,000,000.
Explanation
First, identify the cube of 100, The cube of 100 is 100³ = 1,000,000.
Since 99.9 is only a tiny bit less than 100, the cube of 99.9 will be almost the same as the cube of 100.
The cube of 99.9 is approximately 1,000,000 because the difference between 99.9 and 100 is very small.
So, we can approximate the value as 1,000,000.
FAQs on Cube of 100
1.What are the perfect cubes up to 100?
2.How do you calculate 100³?
3.What is the meaning of 100³?
4.What is the cube root of 100?
5.Is 100 a perfect cube?
6.How does learning Algebra help students in Indonesia make better decisions in daily life?
7.How can cultural or local activities in Indonesia support learning Algebra topics such as Cube of 100?
8.How do technology and digital tools in Indonesia support learning Algebra and Cube of 100?
9.Does learning Algebra support future career opportunities for students in Indonesia?
Important Glossaries for Cube of 100
- 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, which equals 8.
- Perfect Cube: A number that can be expressed as the product of an integer multiplied by itself three times.
- Volume of a Cube: The amount of space inside a cube, calculated by raising the side length to the power of three (side³).
About BrightChamps in Indonesia
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.
Fun Fact
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