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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 116.
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 multiplying a negative number by itself three times results in a negative number.
The cube of 116 can be written as 116³, which is the exponential form.
Or it can also be written in arithmetic form as, 116 × 116 × 116.
In order to check whether a number is a cube number or not, we can use the following three methods, such as the 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. 116³ = 116 × 116 × 116
Step 2: You get 1,561,576 as the answer. Hence, the cube of 116 is 1,561,576.
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 116 into two parts, as 100 and 16. Let a = 100 and b = 16, so a + b = 116.
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³.
Step 3: Calculate each term. a³ = 100³ 3a²b = 3 × 100² × 16 3ab² = 3 × 100 × 16² b³ = 16³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (100 + 16)³ = 100³ + 3 × 100² × 16 + 3 × 100 × 16² + 16³ 116³ = 1,000,000 + 480,000 + 76,800 + 4,096 116³ = 1,561,576
Step 5: Hence, the cube of 116 is 1,561,576.
To find the cube of 116 using a calculator, input the number 116 and use the cube function (if available) or multiply 116 × 116 × 116. This operation calculates the value of 116³, resulting in 1,561,576. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 1, 1, and 6
Step 3: If the calculator has a cube function, press it to calculate 116³.
Step 4: If there is no cube function on the calculator, simply multiply 116 three times manually.
Step 5: The calculator will display 1,561,576.
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 116?
The cube of 116 is 1,561,576 and the cube root of 116 is approximately 4.857.
First, let’s find the cube of 116.
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 116³ = 1,561,576. Next, we must find the cube root of 116.
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 ∛116 ≈ 4.857.
Hence the cube of 116 is 1,561,576 and the cube root of 116 is approximately 4.857.
If the side length of the cube is 116 cm, what is the volume?
The volume is 1,561,576 cm³.
Use the volume formula for a cube V = Side³.
Substitute 116 for the side length: V = 116³ = 1,561,576 cm³.
How much larger is 116³ than 106³?
116³ – 106³ = 647,520.
First, find the cube of 116³, that is 1,561,576.
Next, find the cube of 106³, which is 913,056.
Now, find the difference between them using the subtraction method. 1,561,576 – 913,056 = 647,520.
Therefore, 116³ is 647,520 larger than 106³.
If a cube with a side length of 116 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 116 cm is 1,561,576 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 116 means multiplying 116 by itself three times: 116 × 116 = 13,456, and then 13,456 × 116 = 1,561,576.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 1,561,576 cm³.
Estimate the cube of 115.9 using the cube of 116.
The cube of 115.9 is approximately 1,561,576.
First, identify the cube of 116, The cube of 116 is 116³ = 1,561,576.
Since 115.9 is only a tiny bit less than 116, the cube of 115.9 will be almost the same as the cube of 116.
The cube of 115.9 is approximately 1,561,576 because the difference between 115.9 and 116 is very small.
So, we can approximate the value as 1,561,576.
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.