114 LearnersLast updated on May 30th, 2025
Cube of 104
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 104.
Cube of 104
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 multiplying a negative number by itself three times results in a negative number.
The cube of 104 can be written as 104³, which is the exponential form.
Or it can also be written in arithmetic form as 104 × 104 × 104.
How to Calculate the Value of Cube of 104
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. 104³ = 104 × 104 × 104
Step 2: You get 1,123,264 as the answer.
Hence, the cube of 104 is 1,123,264.
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 104 into two parts. Let a = 100 and b = 4, so a + b = 104
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 100³ 3a²b = 3 × 100² × 4 3ab² = 3 × 100 × 4² b³ = 4³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (100 + 4)³ = 100³ + 3 × 100² × 4 + 3 × 100 × 4² + 4³ 104³ = 1,000,000 + 120,000 + 4,800 + 64 104³ = 1,123,264
Step 5: Hence, the cube of 104 is 1,123,264.
Using a Calculator
To find the cube of 104 using a calculator, input the number 104 and use the cube function (if available) or multiply 104 × 104 × 104. This operation calculates the value of 104³, resulting in 1,123,264. 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 4
Step 3: If the calculator has a cube function, press it to calculate 104³.
Step 4: If there is no cube function on the calculator, simply multiply 104 three times manually.
Step 5: The calculator will display 1,123,264.
Tips and Tricks for the Cube of 104
- 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 104
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, 104 × 104 and not 104 × 104 × 104. Always remember that 104³ = 104 × 104 × 104.
Solved Examples on Cube of 104
Problem 1
What is the cube and cube root of 104?
The cube of 104 is 1,123,264 and the cube root of 104 is approximately 4.736.
Explanation
First, let’s find the cube of 104.
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 104³ = 1,123,264. Next, we must find the cube root of 104.
We know that the 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 ∛104 ≈ 4.736.
Hence the cube of 104 is 1,123,264 and the cube root of 104 is approximately 4.736.
Problem 2
If the side length of the cube is 104 cm, what is the volume?
The volume is 1,123,264 cm³.
Explanation
Use the volume formula for a cube V = Side³.
Substitute 104 for the side length: V = 104³ = 1,123,264 cm³.
Problem 3
How much larger is 104³ than 100³?
104³ – 100³ = 123,264.
Explanation
First, find the cube of 104, which is 1,123,264.
Next, find the cube of 100, which is 1,000,000.
Now, find the difference between them using the subtraction method. 1,123,264 – 1,000,000 = 123,264.
Therefore, 104³ is 123,264 larger than 100³.
Problem 4
If a cube with a side length of 104 cm is compared to a cube with a side length of 20 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 104 cm is 1,123,264 cm³.
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 104 means multiplying 104 by itself three times.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 1,123,264 cm³.
Problem 5
Estimate the cube 103.5 using the cube of 104.
The cube of 103.5 is approximately 1,123,264.
Explanation
First, identify the cube of 104,
The cube of 104 is 104³ = 1,123,264.
Since 103.5 is only a tiny bit less than 104, the cube of 103.5 will be almost the same as the cube of 104.
The cube of 103.5 is approximately 1,123,264 because the difference between 103.5 and 104 is very small.
So, we can approximate the value as 1,123,264.
FAQs on Cube of 104
1.What are the perfect cubes up to 104?
2.How do you calculate 104³?
3.What is the meaning of 104³?
4.What is the cube root of 104?
5.Is 104 a perfect cube?
6.How does learning Algebra help students in Australia make better decisions in daily life?
7.How can cultural or local activities in Australia support learning Algebra topics such as Cube of 104?
8.How do technology and digital tools in Australia support learning Algebra and Cube of 104?
9.Does learning Algebra support future career opportunities for students in Australia?
Important Glossaries for Cube of 104
- 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.
- Volume of a Cube: The amount of space occupied by a cube, calculated using the formula V = side³.
- Perfect Cube: A number that is the cube of an integer.
Explore More algebra
Previous to Cube of 104
Next to Cube of 104
About BrightChamps in Australia
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
: He loves to play the quiz with kids through algebra to make kids love it.
