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 the cube of 121.
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 121 can be written as 121³, which is the exponential form.
Or it can also be written in arithmetic form as 121 × 121 × 121.
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.
The multiplication method is a process in mathematics used to find the product of numbers 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. 121³ = 121 × 121 × 121
Step 2: You get 1,771,561 as the answer. Hence, the cube of 121 is 1,771,561.
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 121 into two parts. Let a = 120 and b = 1, so a + b = 121
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 120³ 3a²b = 3 × 120² × 1 3ab² = 3 × 120 × 1² b³ = 1³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (120 + 1)³ = 120³ + 3 × 120² × 1 + 3 × 120 × 1² + 1³ 121³ = 1,728,000 + 43,200 + 360 + 1 121³ = 1,771,561
Step 5: Hence, the cube of 121 is 1,771,561.
To find the cube of 121 using a calculator, input the number 121 and use the cube function (if available) or multiply 121 × 121 × 121. This operation calculates the value of 121³, resulting in 1,771,561. 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 2 and 1
Step 3: If the calculator has a cube function, press it to calculate 121³.
Step 4: If there is no cube function on the calculator, simply multiply 121 three times manually.
Step 5: The calculator will display 1,771,561.
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 121?
The cube of 121 is 1,771,561 and the cube root of 121 is approximately 4.946.
First, let’s find the cube of 121.
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 121³ = 1,771,561 Next, we must find the cube root of 121
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√121 ≈ 4.946
Hence, the cube of 121 is 1,771,561 and the cube root of 121 is approximately 4.946.
If the side length of the cube is 121 cm, what is the volume?
The volume is 1,771,561 cm³.
Use the volume formula for a cube V = Side³.
Substitute 121 for the side length: V = 121³ = 1,771,561 cm³.
How much larger is 121³ than 120³?
121³ – 120³ = 43,561.
First, find the cube of 121³, that is 1,771,561
Next, find the cube of 120³, which is 1,728,000
Now, find the difference between them using the subtraction method. 1,771,561 – 1,728,000 = 43,561
Therefore, 121³ is 43,561 larger than 120³.
If a cube with a side length of 121 cm is compared to a cube with a side length of 11 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 121 cm is 1,771,561 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 121 means multiplying 121 by itself three times: 121 × 121 = 14,641, and then 14,641 × 121 = 1,771,561.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 1,771,561 cm³.
Estimate the cube 120.1 using the cube 121.
The cube of 120.1 is approximately 1,771,561.
First, identify the cube of 121, The cube of 121 is 121³ = 1,771,561.
Since 120.1 is only slightly less than 121, the cube of 120.1 will be almost the same as the cube of 121.
The cube of 120.1 is approximately 1,771,561 because the difference between 120.1 and 121 is very small.
So, we can approximate the value as 1,771,561.
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.