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 248.
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 248 can be written as 248³, which is the exponential form.
Or it can also be written in arithmetic form as 248 × 248 × 248.
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 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 a number multiplied by itself three times. It is a fundamental operation that forms the basis for more complex mathematical concepts.
Step 1: Write down the cube of the given number. 248³ = 248 × 248 × 248
Step 2: You get 15,263,552 as the answer.
Hence, the cube of 248 is 15,263,552.
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 248 into two parts, as 200 and 48. Let a = 200 and b = 48, so a + b = 248
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 200³ 3a²b = 3 × 200² × 48 3ab² = 3 × 200 × 48² b³ = 48³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (200 + 48)³ = 200³ + 3 × 200² × 48 + 3 × 200 × 48² + 48³ 248³ = 8,000,000 + 5,760,000 + 1,382,400 + 110,592 248³ = 15,263,552
Step 5: Hence, the cube of 248 is 15,263,552.
To find the cube of 248 using a calculator, input the number 248 and use the cube function (if available) or multiply 248 × 248 × 248. This operation calculates the value of 248³, resulting in 15,263,552. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 2, 4, and 8
Step 3: If the calculator has a cube function, press it to calculate 248³.
Step 4: If there is no cube function on the calculator, simply multiply 248 three times manually.
Step 5: The calculator will display 15,263,552.
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 248?
The cube of 248 is 15,263,552 and the cube root of 248 is approximately 6.299.
First, let’s find the cube of 248.
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 248³ = 15,263,552 Next, we must find the cube root of 248
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 ∛248 ≈ 6.299
Hence, the cube of 248 is 15,263,552, and the cube root of 248 is approximately 6.299.
If the side length of the cube is 248 cm, what is the volume?
The volume is 15,263,552 cm³.
Use the volume formula for a cube V = Side³.
Substitute 248 for the side length: V = 248³ = 15,263,552 cm³.
How much larger is 248³ than 200³?
248³ – 200³ = 7,263,552.
First, find the cube of 248³, which is 15,263,552
Next, find the cube of 200³, which is 8,000,000
Now, find the difference between them using the subtraction method. 15,263,552 – 8,000,000 = 7,263,552
Therefore, 248³ is 7,263,552 larger than 200³.
If a cube with a side length of 248 cm is compared to a cube with a side length of 48 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 248 cm is 15,263,552 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 248 means multiplying 248 by itself three times: 248 × 248 = 61,504, and then 61,504 × 248 = 15,263,552.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 15,263,552 cm³.
Estimate the cube of 247.9 using the cube of 248.
The cube of 247.9 is approximately 15,263,552.
First, identify the cube of 248, The cube of 248 is 248³ = 15,263,552.
Since 247.9 is only a tiny bit less than 248, the cube of 247.9 will be almost the same as the cube of 248.
The cube of 247.9 is approximately 15,263,552 because the difference between 247.9 and 248 is very small.
So, we can approximate the value as 15,263,552.
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.