Last updated on June 3rd, 2025
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 119.
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 119 can be written as 119³, which is the exponential form.
Or it can also be written in arithmetic form as, 119 × 119 × 119.
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.
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. 119³ = 119 × 119 × 119
Step 2: You get 1,685,209 as the answer. Hence, the cube of 119 is 1,685,209.
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 119 into two parts. Let a = 100 and b = 19, so a + b = 119
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 100³ 3a²b = 3 × 100² × 19 3ab² = 3 × 100 × 19² b³ = 19³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (100 + 19)³ = 100³ + 3 × 100² × 19 + 3 × 100 × 19² + 19³ 119³ = 1,000,000 + 570,000 + 108,300 + 6,859 119³ = 1,685,209
Step 5: Hence, the cube of 119 is 1,685,209.
To find the cube of 119 using a calculator, input the number 119 and use the cube function (if available) or multiply 119 × 119 × 119. This operation calculates the value of 119³, resulting in 1,685,209. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Enter 1 followed by 1 and 9
Step 3: If the calculator has a cube function, press it to calculate 119³.
Step 4: If there is no cube function on the calculator, simply multiply 119 three times manually.
Step 5: The calculator will display 1,685,209.
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:
What is the cube and cube root of 119?
The cube of 119 is 1,685,209 and the cube root of 119 is 4.928.
First, let’s find the cube of 119.
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 119³ = 1,685,209 Next, we must find the cube root of 119
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√119 = 4.928
Hence, the cube of 119 is 1,685,209 and the cube root of 119 is approximately 4.928.
If the side length of the cube is 119 cm, what is the volume?
The volume is 1,685,209 cm³.
Use the volume formula for a cube V = Side³.
Substitute 119 for the side length: V = 119³ = 1,685,209 cm³.
How much larger is 119³ than 100³?
119³ – 100³ = 685,209.
First, find the cube of 119³, that is 1,685,209
Next, find the cube of 100³, which is 1,000,000
Now, find the difference between them using the subtraction method. 1,685,209 – 1,000,000 = 685,209
Therefore, the 119³ is 685,209 larger than 100³.
If a cube with a side length of 119 cm is compared to a cube with a side length of 19 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 119 cm is 1,685,209 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 119 means multiplying 119 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 1,685,209 cm³.
Estimate the cube of 118.9 using the cube of 119.
The cube of 118.9 is approximately 1,685,209.
First, identify the cube of 119,
The cube of 119 is 119³ = 1,685,209.
Since 118.9 is only a tiny bit less than 119, the cube of 118.9 will be almost the same as the cube of 119.
The cube of 118.9 is approximately 1,685,209 because the difference between 118.9 and 119 is very small.
So, we can approximate the value as 1,685,209.
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.
: He loves to play the quiz with kids through algebra to make kids love it.