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 sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 115.
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 115 can be written as 115³, which is the exponential form.
Or it can also be written in arithmetic form as 115 × 115 × 115.
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 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. 115³ = 115 × 115 × 115
Step 2: You get 1,519,875 as the answer. Hence, the cube of 115 is 1,519,875.
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 115 into two parts, as 100 and 15. Let a = 100 and b = 15, so a + b = 115
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 100³ 3a²b = 3 × 100² × 15 3ab² = 3 × 100 × 15² b³ = 15³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (100 + 15)³ = 100³ + 3 × 100² × 15 + 3 × 100 × 15² + 15³ 115³ = 1,000,000 + 450,000 + 67,500 + 3,375 115³ = 1,519,875
Step 5: Hence, the cube of 115 is 1,519,875.
To find the cube of 115 using a calculator, input the number 115 and use the cube function (if available) or multiply 115 × 115 × 115. This operation calculates the value of 115³, resulting in 1,519,875. 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 5
Step 3: If the calculator has a cube function, press it to calculate 115³.
Step 4: If there is no cube function on the calculator, simply multiply 115 three times manually.
Step 5: The calculator will display 1,519,875.
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 115?
The cube of 115 is 1,519,875 and the cube root of 115 is approximately 4.820.
First, let’s find the cube of 115.
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 115³ = 1,519,875 Next, we must find the cube root of 115
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 ∛115 ≈ 4.820
Hence the cube of 115 is 1,519,875 and the cube root of 115 is approximately 4.820.
If the side length of the cube is 115 cm, what is the volume?
The volume is 1,519,875 cm³.
Use the volume formula for a cube V = Side³.
Substitute 115 for the side length: V = 115³ = 1,519,875 cm³.
How much larger is 115³ than 105³?
115³ – 105³ = 364,500.
First find the cube of 115³, that is 1,519,875
Next, find the cube of 105³, which is 1,155,375
Now, find the difference between them using the subtraction method. 1,519,875 – 1,155,375 = 364,500
Therefore, 115³ is 364,500 larger than 105³.
If a cube with a side length of 115 cm is compared to a cube with a side length of 10 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 115 cm is 1,519,875 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 115 means multiplying 115 by itself three times: 115 × 115 = 13,225, and then 13,225 × 115 = 1,519,875.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 1,519,875 cm³.
Estimate the cube 114.9 using the cube 115.
The cube of 114.9 is approximately 1,519,875.
First, identify the cube of 115,
The cube of 115 is 115³ = 1,519,875.
Since 114.9 is only a tiny bit less than 115, the cube of 114.9 will be almost the same as the cube of 115.
The cube of 114.9 is approximately 1,519,875 because the difference between 114.9 and 115 is very small.
So, we can approximate the value as 1,519,875.
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.