Last updated on May 30th, 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 241.
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 241 can be written as 241³, which is the exponential form.
Or it can also be written in arithmetic form as, 241 × 241 × 241.
In order to check whether a number is a cube number or not, we can use the following three methods, such as the 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. 241³ = 241 × 241 × 241
Step 2: You get 13,999,721 as the answer.
Hence, the cube of 241 is 13,999,721.
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 241 into two parts, as and . Let a = 240 and b = 1, so a + b = 241
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 240³ 3a²b = 3 × 240² × 1 3ab² = 3 × 240 × 1² b³ = 1³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (240 + 1)³ = 240³ + 3 × 240² × 1 + 3 × 240 × 1² + 1³ 241³ = 13,824,000 + 172,800 + 720 + 1 241³ = 13,999,721
Step 5: Hence, the cube of 241 is 13,999,721.
To find the cube of 241 using a calculator, input the number 241 and use the cube function (if available) or multiply 241 × 241 × 241. This operation calculates the value of 241³, resulting in 13,999,721. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 2, followed by 4, and then 1
Step 3: If the calculator has a cube function, press it to calculate 241³.
Step 4: If there is no cube function on the calculator, simply multiply 241 three times manually.
Step 5: The calculator will display 13,999,721.
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 241?
The cube of 241 is 13,999,721 and the cube root of 241 is approximately 6.254.
First, let’s find the cube of 241.
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 241³ = 13,999,721 Next, we must find the cube root of 241
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 ∛241 ≈ 6.254
Hence the cube of 241 is 13,999,721 and the cube root of 241 is approximately 6.254.
If the side length of a cube is 241 cm, what is the volume?
The volume is 13,999,721 cm³.
Use the volume formula for a cube V = Side³.
Substitute 241 for the side length: V = 241³ = 13,999,721 cm³.
How much larger is 241³ than 240³?
241³ – 240³ = 175,721.
First find the cube of 241, that is 13,999,721
Next, find the cube of 240, which is 13,824,000
Now, find the difference between them using the subtraction method. 13,999,721 – 13,824,000 = 175,721
Therefore, 241³ is 175,721 larger than 240³.
If a cube with a side length of 241 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 241 cm is 13,999,721 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 241 means multiplying 241 by itself three times: 241 × 241 = 58,081, and then 58,081 × 241 = 13,999,721.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 13,999,721 cm³.
Estimate the cube of 240.9 using the cube of 241.
The cube of 240.9 is approximately 13,999,721.
First, identify the cube of 241,
The cube of 241 is 241³ = 13,999,721. Since 240.9 is only a tiny bit less than 241, the cube of 240.9 will be almost the same as the cube of 241.
The cube of 240.9 is approximately 13,999,721 because the difference between 240.9 and 241 is very small.
So, we can approximate the value as 13,999,721.
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.