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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 14.
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 14 can be written as 14³, which is the exponential form. Or it can also be written in arithmetic form as, 14 × 14 × 14.
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. 14³ = 14 × 14 × 14
Step 2: You get 2,744 as the answer. Hence, the cube of 14 is 2,744.
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 14 into two parts, as 10 and 4. Let a = 10 and b = 4, so a + b = 14
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 10³
3a²b = 3 × 10² × 4
3ab² = 3 × 10 × 4²
b³ = 4³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(10 + 4)³ = 10³ + 3 × 10² × 4 + 3 × 10 × 4² + 4³
14³ = 1,000 + 1,200 + 480 + 64
14³ = 2,744
Step 5: Hence, the cube of 14 is 2,744.
To find the cube of 14 using a calculator, input the number 14 and use the cube function (if available) or multiply 14 × 14 × 14. This operation calculates the value of 14³, resulting in 2,744. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 1 followed by 4
Step 3: If the calculator has a cube function, press it to calculate 14³.
Step 4: If there is no cube function on the calculator, simply multiply 14 three times manually.
Step 5: The calculator will display 2,744.
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 14?
The cube of 14 is 2,744 and the cube root of 14 is approximately 2.410.
First, let’s find the cube of 14.
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 14³ = 2,744
Next, we must find the cube root of 14 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 ∛14 ≈ 2.410
Hence the cube of 14 is 2,744 and the cube root of 14 is approximately 2.410.
If the side length of the cube is 14 cm, what is the volume?
The volume is 2,744 cm³.
Use the volume formula for a cube V = Side³.
Substitute 14 for the side length: V = 14³ = 2,744 cm³.
How much larger is 14³ than 10³?
14³ – 10³ = 1,744.
First find the cube of 14³, that is 2,744
Next, find the cube of 10³, which is 1,000
Now, find the difference between them using the subtraction method.
2,744 – 1,000 = 1,744
Therefore, the 14³ is 1,744 larger than 10³.
If a cube with a side length of 14 cm is compared to a cube with a side length of 4 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 14 cm is 2,744 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 14 means multiplying 14 by itself three times: 14 × 14 = 196, and then 196 × 14 = 2,744.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 2,744 cm³.
Estimate the cube 13.9 using the cube 14.
The cube of 13.9 is approximately 2,744.
First, identify the cube of 14, The cube of 14 is 14³ = 2,744.
Since 13.9 is only a tiny bit less than 14, the cube of 13.9 will be almost the same as the cube of 14.
The cube of 13.9 is approximately 2,744 because the difference between 13.9 and 14 is very small.
So, we can approximate the value as 2,744.
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.