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 250.
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 250 can be written as 2503, which is the exponential form.
Or it can also be written in arithmetic form as, 250 × 250 × 250.
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. 2503 = 250 × 250 × 250
Step 2: You get 15,625,000 as the answer.
Hence, the cube of 250 is 15,625,000.
The formula (a + b)^3 is a binomial formula for finding the cube of a number. The formula is expanded as a^3 + 3a^2b + 3ab^2 + b^3.
Step 1: Split the number 250 into two parts. Let a = 240 and b = 10, so a + b = 250
Step 2: Now, apply the formula (a + b)3 = a3 + 3a2b + 3ab2 + b3
Step 3: Calculate each term a3 = 2403 3a2b = 3 × 2402 × 10 3ab2 = 3 × 240 × 102 b3 = 103
Step 4: Add all the terms together: (a + b)3 = a3 + 3a2b + 3ab2 + b3 (240 + 10)3 = 2403 + 3 × 2402 × 10 + 3 × 240 × 102 + 103 2503 = 13,824,000 + 1,728,000 + 72,000 + 1,000 2503 = 15,625,000
Step 5: Hence, the cube of 250 is 15,625,000.
To find the cube of 250 using a calculator, input the number 250 and use the cube function (if available) or multiply 250 × 250 × 250. This operation calculates the value of 2503, resulting in 15,625,000. 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 0
Step 3: If the calculator has a cube function, press it to calculate 2503.
Step 4: If there is no cube function on the calculator, simply multiply 250 three times manually.
Step 5: The calculator will display 15,625,000.
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 250?
The cube of 250 is 15,625,000 and the cube root of 250 is approximately 6.299.
First, let’s find the cube of 250.
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 250^3 = 15,625,000 Next, we must find the cube root of 250
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 ∛250 ≈ 6.299
Hence, the cube of 250 is 15,625,000 and the cube root of 250 is approximately 6.299.
If the side length of the cube is 250 cm, what is the volume?
The volume is 15,625,000 cm3.
Use the volume formula for a cube V = Side3.
Substitute 250 for the side length: V = 2503 = 15,625,000 cm3.
How much larger is 250^3 than 200^3?
2503 – 2003 = 11,625,000.
First, find the cube of 2503, that is 15,625,000
Next, find the cube of 2003, which is 8,000,000
Now, find the difference between them using the subtraction method. 15,625,000 – 8,000,000 = 7,625,000
Therefore, the 250^3 is 7,625,000 larger than 2003.
If a cube with a side length of 250 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 250 cm is 15,625,000 cm3.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 250 means multiplying 250 by itself three times: 250 × 250 = 62,500, and then 62,500 × 250 = 15,625,000.
The unit of volume is cubic centimeters (cm3), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 15,625,000 cm3.
Estimate the cube of 249.9 using the cube of 250.
The cube of 249.9 is approximately 15,625,000.
First, identify the cube of 250, The cube of 250 is 2503 = 15,625,000.
Since 249.9 is only a tiny bit less than 250, the cube of 249.9 will be almost the same as the cube of 250.
The cube of 249.9 is approximately 15,625,000 because the difference between 249.9 and 250 is very small.
So, we can approximate the value as 15,625,000.
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.