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 in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 614.
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 614 can be written as 614³, which is the exponential form. Or it can also be written in arithmetic form as, 614 × 614 × 614.
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. 614³ = 614 × 614 × 614
Step 2: You get 231,491,944 as the answer. Hence, the cube of 614 is 231,491,944.
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 614 into two parts. Let a = 600 and b = 14, so a + b = 614
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 600³
3a²b = 3 × 600² × 14
3ab² = 3 × 600 × 14²
b³ = 14³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(600 + 14)³ = 600³ + 3 × 600² × 14 + 3 × 600 × 14² + 14³
614³ = 216,000,000 + 15,120,000 + 1,764,000 + 2,744
614³ = 231,491,944
Step 5: Hence, the cube of 614 is 231,491,944.
To find the cube of 614 using a calculator, input the number 614 and use the cube function (if available) or multiply 614 × 614 × 614. This operation calculates the value of 614³, resulting in 231,491,944. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 6 followed by 1 and 4
Step 3: If the calculator has a cube function, press it to calculate 614³.
Step 4: If there is no cube function on the calculator, simply multiply 614 three times manually.
Step 5: The calculator will display 231,491,944.
There are some typical errors that kids might make during the process of cubing a number. Let us take a look at some of the major mistakes that kids might make:
What is the cube and cube root of 614?
The cube of 614 is 231,491,944 and the cube root of 614 is approximately 8.497.
First, let’s find the cube of 614.
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 614³ = 231,491,944
Next, we must find the cube root of 614 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 ∛614 ≈ 8.497
Hence the cube of 614 is 231,491,944 and the cube root of 614 is approximately 8.497.
If the side length of the cube is 614 cm, what is the volume?
The volume is 231,491,944 cm³.
Use the volume formula for a cube V = Side³.
Substitute 614 for the side length: V = 614³ = 231,491,944 cm³.
How much larger is 614³ than 514³?
614³ – 514³ = 147,392,620.
First, find the cube of 614, which is 231,491,944
Next, find the cube of 514, which is 84,099,324
Now, find the difference between them using the subtraction method.
231,491,944 – 84,099,324 = 147,392,620
Therefore, 614³ is 147,392,620 larger than 514³.
If a cube with a side length of 614 cm is compared to a cube with a side length of 14 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 614 cm is 231,491,944 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 614 means multiplying 614 by itself three times: 614 × 614 = 376,996, and then 376,996 × 614 = 231,491,944.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 231,491,944 cm³.
Estimate the cube 613.9 using the cube of 614.
The cube of 613.9 is approximately 231,491,944.
First, identify the cube of 614, The cube of 614 is 614³ = 231,491,944.
Since 613.9 is only a tiny bit less than 614, the cube of 613.9 will be almost the same as the cube of 614.
The cube of 613.9 is approximately 231,491,944 because the difference between 613.9 and 614 is very small.
So, we can approximate the value as 231,491,944.
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.