Last updated on June 3rd, 2025
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used when comparing the sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 114.
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 114 can be written as 114³, which is the exponential form.
Or it can also be written in arithmetic form as, 114 × 114 × 114.
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 methods will help to cube the numbers faster and more easily without confusion or getting stuck while evaluating the answers.
The multiplication method is a process in mathematics used to find the product of 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. 114³ = 114 × 114 × 114
Step 2: Calculate the product. You get 1,480,584 as the answer.
Hence, the cube of 114 is 1,480,584.
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 114 into two parts. Let a = 110 and b = 4, so a + b = 114
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 110³ 3a²b = 3 × 110² × 4 3ab² = 3 × 110 × 4² b³ = 4³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (110 + 4)³ = 110³ + 3 × 110² × 4 + 3 × 110 × 4² + 4³ 114³ = 1,331,000 + 145,200 + 5,280 + 64 114³ = 1,480,544
Step 5: Hence, the cube of 114 is 1,480,544.
To find the cube of 114 using a calculator, input the number 114 and use the cube function (if available) or multiply 114 × 114 × 114. This operation calculates the value of 114³, resulting in 1,480,544. 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 1 and 4
Step 3: If the calculator has a cube function, press it to calculate 114³.
Step 4: If there is no cube function on the calculator, simply multiply 114 three times manually.
Step 5: The calculator will display 1,480,544.
There are some typical errors that might occur during the process of cubing a number. Let us take a look at some major mistakes:
What is the cube and cube root of 114?
The cube of 114 is 1,480,544 and the cube root of 114 is approximately 4.879.
First, let’s find the cube of 114.
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 114³ = 1,480,544 Next, we must find the cube root of 114
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 ∛114 ≈ 4.879
Hence, the cube of 114 is 1,480,544 and the cube root of 114 is approximately 4.879.
If the side length of the cube is 114 cm, what is the volume?
The volume is 1,480,544 cm³.
Use the volume formula for a cube V = Side³.
Substitute 114 for the side length: V = 114³ = 1,480,544 cm³.
How much larger is 114³ than 100³?
114³ – 100³ = 480,544.
First, find the cube of 114³, which is 1,480,544
Next, find the cube of 100³, which is 1,000,000
Now, find the difference between them using the subtraction method. 1,480,544 – 1,000,000 = 480,544
Therefore, 114³ is 480,544 larger than 100³.
If a cube with a side length of 114 cm is compared to a cube with a side length of 50 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 114 cm is larger by 1,355,544 cm³.
To find the volume of the larger cube, multiply the side length by itself three times.
Cubing 114 means multiplying 114 by itself three times: 114 × 114 = 12,996, and then 12,996 × 114 = 1,480,544.
The volume of the smaller cube (side length 50 cm) is 125,000 cm³.
Therefore, the larger cube's volume is 1,480,544 cm³ – 125,000 cm³ = 1,355,544 cm³ larger.
Estimate the cube of 113.5 using the cube of 114.
The cube of 113.5 is approximately 1,480,000.
First, identify the cube of 114,
The cube of 114 is 114³ = 1,480,544.
Since 113.5 is only slightly less than 114, the cube of 113.5 will be almost the same as the cube of 114.
The cube of 113.5 is approximately 1,480,000 due to the small difference between 113.5 and 114.
So, we can approximate the value as 1,480,000.
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.