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 cubes of 251.
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 251 can be written as 251³, which is the exponential form.
Or it can also be written in arithmetic form as 251 × 251 × 251.
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. 251³ = 251 × 251 × 251
Step 2: Calculate the product to get the answer. After performing the multiplication, the answer is 15,853,551.
Hence, the cube of 251 is 15,853,551.
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 251 into two parts. Let a = 250 and b = 1, so a + b = 251
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 250³ 3a²b = 3 × 250² × 1 3ab² = 3 × 250 × 1² b³ = 1³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (250 + 1)³ = 250³ + 3 × 250² × 1 + 3 × 250 × 1² + 1³ 251³ = 15,625,000 + 187,500 + 750 + 1 251³ = 15,853,551
Step 5: Hence, the cube of 251 is 15,853,551.
To find the cube of 251 using a calculator, input the number 251 and use the cube function (if available) or multiply 251 × 251 × 251. This operation calculates the value of 251³, resulting in 15,853,551. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Input 251.
Step 3: If the calculator has a cube function, press it to calculate 251³.
Step 4: If there is no cube function on the calculator, simply multiply 251 three times manually.
Step 5: The calculator will display 15,853,551.
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 251?
The cube of 251 is 15,853,551 and the cube root of 251 is approximately 6.2996.
First, let’s find the cube of 251.
We know that the cube of a number is such that x³ = y,
where x is the given number, and y is the cubed value of that number.
So, we get 251³ = 15,853,551. Next, we must find the cube root of 251.
We know that the cube root of a number ‘x’ is such that ∛x = y,
where ‘x’ is the given number, and y is the cube root value of the number.
So, we get ∛251 ≈ 6.2996.
Hence the cube of 251 is 15,853,551 and the cube root of 251 is approximately 6.2996.
If the side length of the cube is 251 cm, what is the volume?
The volume is 15,853,551 cm³.
Use the volume formula for a cube V = Side³.
Substitute 251 for the side length: V = 251³ = 15,853,551 cm³.
How much larger is 251³ than 250³?
251³ – 250³ = 228,551.
First, find the cube of 251, which is 15,853,551.
Next, find the cube of 250, which is 15,625,000.
Now, find the difference between them using the subtraction method. 15,853,551 – 15,625,000 = 228,551.
Therefore, 251³ is 228,551 larger than 250³.
If a cube with a side length of 251 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 251 cm is 15,853,551 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 251 means multiplying 251 by itself three times.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 15,853,551 cm³.
Estimate the cube of 250.5 using the cube of 251.
The cube of 250.5 is approximately 15,853,551.
First, identify the cube of 251. The cube of 251 is 251³ = 15,853,551.
Since 250.5 is only a tiny bit less than 251, the cube of 250.5 will be almost the same as the cube of 251.
The cube of 250.5 is approximately 15,853,551 because the difference between 250.5 and 251 is very small.
So, we can approximate the value as 15,853,551.
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.