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 257.
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 257 can be written as 257³, which is the exponential form.
Or it can also be written in arithmetic form as 257 × 257 × 257.
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 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. 257³ = 257 × 257 × 257
Step 2: You get 16,965,793 as the answer.
Hence, the cube of 257 is 16,965,793.
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 257 into two parts. Let a = 250 and b = 7, so a + b = 257.
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³.
Step 3: Calculate each term: a³ = 250³ 3a²b = 3 × 250² × 7 3ab² = 3 × 250 × 7² b³ = 7³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (250 + 7)³ = 250³ + 3 × 250² × 7 + 3 × 250 × 7² + 7³ 257³ = 15,625,000 + 1,312,500 + 36,750 + 343 257³ = 16,965,793
Step 5: Hence, the cube of 257 is 16,965,793.
To find the cube of 257 using a calculator, input the number 257 and use the cube function (if available) or multiply 257 × 257 × 257. This operation calculates the value of 257³, resulting in 16,965,793. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 2, 5, and 7.
Step 3: If the calculator has a cube function, press it to calculate 257³.
Step 4: If there is no cube function on the calculator, simply multiply 257 three times manually.
Step 5: The calculator will display 16,965,793.
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 257?
The cube of 257 is 16,965,793 and the cube root of 257 is 6.349.
First, let’s find the cube of 257.
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 257³ = 16,965,793. Next, we must find the cube root of 257.
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 ∛257 ≈ 6.349.
Hence the cube of 257 is 16,965,793 and the cube root of 257 is approximately 6.349.
If the side length of the cube is 257 cm, what is the volume?
The volume is 16,965,793 cm³.
Use the volume formula for a cube V = Side³.
Substitute 257 for the side length: V = 257³ = 16,965,793 cm³.
How much larger is 257³ than 250³?
257³ – 250³ = 1,340,793.
First, find the cube of 257³, which is 16,965,793.
Next, find the cube of 250³, which is 15,625,000.
Now, find the difference between them using the subtraction method. 16,965,793 – 15,625,000 = 1,340,793.
Therefore, 257³ is 1,340,793 larger than 250³.
If a cube with a side length of 257 cm is compared to a cube with a side length of 7 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 257 cm is 16,965,793 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 257 means multiplying 257 by itself three times: 257 × 257 = 66,049, and then 66,049 × 257 = 16,965,793.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 16,965,793 cm³.
Estimate the cube of 256.5 using the cube of 257.
The cube of 256.5 is approximately 16,965,793.
First, identify the cube of 257. The cube of 257 is 257³ = 16,965,793.
Since 256.5 is only a tiny bit less than 257, the cube of 256.5 will be almost the same as the cube of 257.
The cube of 256.5 is approximately 16,965,793 because the difference between 256.5 and 257 is very small.
So, we can approximate the value as 16,965,793.
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.