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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 254.
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 254 can be written as 254³, which is the exponential form.
Or it can also be written in arithmetic form as, 254 × 254 × 254.
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. 254³ = 254 × 254 × 254
Step 2: You get 16,387,064 as the answer.
Hence, the cube of 254 is 16,387,064.
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 254 into two parts, as 250 and 4. Let a = 250 and b = 4, so a + b = 254
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 250³ 3a²b = 3 × 250² × 4 3ab² = 3 × 250 × 4² b³ = 4³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (250 + 4)³ = 250³ + 3 × 250² × 4 + 3 × 250 × 4² + 4³ 254³ = 15,625,000 + 750,000 + 12,000 + 64 254³ = 16,387,064
Step 5: Hence, the cube of 254 is 16,387,064.
To find the cube of 254 using a calculator, input the number 254 and use the cube function (if available) or multiply 254 × 254 × 254. This operation calculates the value of 254³, resulting in 16,387,064. 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 5 and 4
Step 3: If the calculator has a cube function, press it to calculate 254³.
Step 4: If there is no cube function on the calculator, simply multiply 254 three times manually.
Step 5: The calculator will display 16,387,064.
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 254?
The cube of 254 is 16,387,064 and the cube root of 254 is approximately 6.349.
First, let’s find the cube of 254. 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 254³ = 16,387,064
Next, we must find the cube root of 254 We know that 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√254 ≈ 6.349
Hence the cube of 254 is 16,387,064 and the cube root of 254 is approximately 6.349.
If the side length of the cube is 254 cm, what is the volume?
The volume is 16,387,064 cm³.
Use the volume formula for a cube V = Side³.
Substitute 254 for the side length: V = 254³ = 16,387,064 cm³.
How much larger is 254³ than 144³?
254³ – 144³ = 15,837,880.
First find the cube of 254³, that is 16,387,064
Next, find the cube of 144³, which is 549,184
Now, find the difference between them using the subtraction method. 16,387,064 – 549,184 = 15,837,880
Therefore, 254³ is 15,837,880 larger than 144³.
If a cube with a side length of 254 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 254 cm is 16,387,064 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 254 means multiplying 254 by itself three times: 254 × 254 = 64,516, and 64,516 × 254 = 16,387,064.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 16,387,064 cm³.
Estimate the cube of 253.9 using the cube of 254.
The cube of 253.9 is approximately 16,387,064.
First, identify the cube of 254, The cube of 254 is 254³ = 16,387,064.
Since 253.9 is only a tiny bit less than 254, the cube of 253.9 will be almost the same as the cube of 254.
The cube of 253.9 is approximately 16,387,064 because the difference between 253.9 and 254 is very small.
So, we can approximate the value as 16,387,064.
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.