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 249.
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 249 can be written as 249³, which is the exponential form.
Or it can also be written in arithmetic form as, 249 × 249 × 249.
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. 249³ = 249 × 249 × 249
Step 2: You get 15,442,089 as the answer.
Hence, the cube of 249 is 15,442,089.
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 249 into two parts, as 200 and 49. Let a = 200 and b = 49, so a + b = 249
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 200³ 3a²b = 3 × 200² × 49 3ab² = 3 × 200 × 49² b³ = 49³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (200 + 49)³ = 200³ + 3 × 200² × 49 + 3 × 200 × 49² + 49³ 249³ = 8,000,000 + 5,880,000 + 1,441,800 + 117,649 249³ = 15,442,089
Step 5: Hence, the cube of 249 is 15,442,089.
To find the cube of 249 using a calculator, input the number 249 and use the cube function (if available) or multiply 249 × 249 × 249. This operation calculates the value of 249³, resulting in 15,442,089. 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 9
Step 3: If the calculator has a cube function, press it to calculate 249³.
Step 4: If there is no cube function on the calculator, simply multiply 249 three times manually.
Step 5: The calculator will display 15,442,089.
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 249?
The cube of 249 is 15,442,089 and the cube root of 249 is approximately 6.299.
First, let’s find the cube of 249.
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 249³ = 15,442,089
Next, we must find the cube root of 249
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 ∛249 ≈ 6.299
Hence, the cube of 249 is 15,442,089 and the cube root of 249 is approximately 6.299.
If the side length of the cube is 249 cm, what is the volume?
The volume is 15,442,089 cm³.
Use the volume formula for a cube V = Side³.
Substitute 249 for the side length: V = 249³ = 15,442,089 cm³.
How much larger is 249³ than 200³?
249³ – 200³ = 7,442,089.
First, find the cube of 249, that is 15,442,089
Next, find the cube of 200, which is 8,000,000
Now, find the difference between them using the subtraction method. 15,442,089 – 8,000,000 = 7,442,089
Therefore, the 249³ is 7,442,089 larger than 200³.
If a cube with a side length of 249 cm is compared to a cube with a side length of 49 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 249 cm is 15,442,089 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 249 means multiplying 249 by itself three times: 249 × 249 = 62,001, and then 62,001 × 249 = 15,442,089.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 15,442,089 cm³.
Estimate the cube of 248.9 using the cube of 249.
The cube of 248.9 is approximately 15,442,089.
First, identify the cube of 249,
The cube of 249 is 249³ = 15,442,089.
Since 248.9 is only a tiny bit less than 249, the cube of 248.9 will be almost the same as the cube of 249.
The cube of 248.9 is approximately 15,442,089 because the difference between 248.9 and 249 is very small.
So, we can approximate the value as 15,442,089.
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.