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 245.
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 245 can be written as 245³, which is the exponential form.
Or it can also be written in arithmetic form as, 245 × 245 × 245.
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. 245³ = 245 × 245 × 245
Step 2: You get 14,705,125 as the answer. Hence, the cube of 245 is 14,705,125.
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 245 into two parts, as 240 and 5. Let a = 240 and b = 5, so a + b = 245
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 240³ 3a²b = 3 × 240² × 5 3ab² = 3 × 240 × 5² b³ = 5³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (240 + 5)³ = 240³ + 3 × 240² × 5 + 3 × 240 × 5² + 5³ 245³ = 13,824,000 + 864,000 + 18,000 + 125 245³ = 14,706,125
Step 5: Hence, the cube of 245 is 14,706,125.
To find the cube of 245 using a calculator, input the number 245 and use the cube function (if available) or multiply 245 × 245 × 245. This operation calculates the value of 245³, resulting in 14,706,125. 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 5
Step 3: If the calculator has a cube function, press it to calculate 245³.
Step 4: If there is no cube function on the calculator, simply multiply 245 three times manually.
Step 5: The calculator will display 14,706,125.
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 245?
The cube of 245 is 14,706,125 and the cube root of 245 is approximately 6.238.
First, let’s find the cube of 245.
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 245³ = 14,706,125 Next, we must find the cube root of 245
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 ∛245 ≈ 6.238
Hence, the cube of 245 is 14,706,125 and the cube root of 245 is approximately 6.238.
If the side length of the cube is 245 cm, what is the volume?
The volume is 14,706,125 cm³.
Use the volume formula for a cube V = Side³.
Substitute 245 for the side length: V = 245³ = 14,706,125 cm³.
How much larger is 245³ than 240³?
245³ – 240³ = 882,125.
First, find the cube of 245³, that is 14,706,125
Next, find the cube of 240³, which is 13,824,000
Now, find the difference between them using the subtraction method. 14,706,125 – 13,824,000 = 882,125
Therefore, the 245³ is 882,125 larger than 240³.
If a cube with a side length of 245 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 245 cm is 14,706,125 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 245 means multiplying 245 by itself three times: 245 × 245 = 60,025, and then 60,025 × 245 = 14,706,125.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 14,706,125 cm³.
Estimate the cube of 244.9 using the cube of 245.
The cube of 244.9 is approximately 14,706,125.
First, identify the cube of 245,
The cube of 245 is 245³ = 14,706,125.
Since 244.9 is only a tiny bit less than 245, the cube of 244.9 will be almost the same as the cube of 245.
The cube of 244.9 is approximately 14,706,125 because the difference between 244.9 and 245 is very small.
So, we can approximate the value as 14,706,125.
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.