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 useful in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 255.
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 255 can be written as 255³, which is the exponential form.
Or it can also be written in arithmetic form as 255 × 255 × 255.
To determine if a number is a cube number, we can use the following three methods: multiplication method, a factor formula (a³), or by using a calculator. These methods help in cubing numbers more efficiently without confusion.
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. 255³ = 255 × 255 × 255
Step 2: You get 16,581,375 as the answer.
Hence, the cube of 255 is 16,581,375.
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 255 into two parts, as a and b. Let a = 250 and b = 5, so a + b = 255
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 250³ 3a²b = 3 × 250² × 5 3ab² = 3 × 250 × 5² b³ = 5³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (250 + 5)³ = 250³ + 3 × 250² × 5 + 3 × 250 × 5² + 5³ 255³ = 15,625,000 + 937,500 + 18,750 + 125 255³ = 16,581,375
Step 5: Hence, the cube of 255 is 16,581,375.
To find the cube of 255 using a calculator, input the number 255 and use the cube function (if available) or multiply 255 × 255 × 255. This operation calculates the value of 255³, resulting in 16,581,375. 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 5
Step 3: If the calculator has a cube function, press it to calculate 255³.
Step 4: If there is no cube function on the calculator, simply multiply 255 three times manually.
Step 5: The calculator will display 16,581,375.
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 255?
The cube of 255 is 16,581,375 and the cube root of 255 is approximately 6.349.
First, let’s find the cube of 255.
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 255³ = 16,581,375 Next, we must find the cube root of 255.
We know that 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 ∛255 ≈ 6.349
Hence, the cube of 255 is 16,581,375 and the cube root of 255 is approximately 6.349.
If the side length of the cube is 255 cm, what is the volume?
The volume is 16,581,375 cm³.
Use the volume formula for a cube V = Side³.
Substitute 255 for the side length: V = 255³ = 16,581,375 cm³.
How much larger is 255³ than 250³?
255³ – 250³ = 956,375.
First find the cube of 255³, which is 16,581,375.
Next, find the cube of 250³, which is 15,625,000.
Now, find the difference between them using the subtraction method. 16,581,375 – 15,625,000 = 956,375
Therefore, 255³ is 956,375 larger than 250³.
If a cube with a side length of 255 cm is compared to a cube with a side length of 5 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 255 cm is 16,581,375 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 255 means multiplying 255 by itself three times: 255 × 255 = 65,025, and then 65,025 × 255 = 16,581,375.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 16,581,375 cm³.
Estimate the cube 254.9 using the cube 255.
The cube of 254.9 is approximately 16,581,375.
First, identify the cube of 255,
The cube of 255 is 255³ = 16,581,375.
Since 254.9 is only a tiny bit less than 255, the cube of 254.9 will be almost the same as the cube of 255.
The cube of 254.9 is approximately 16,581,375 because the difference between 254.9 and 255 is very small.
So, we can approximate the value as 16,581,375.
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.