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 216.
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 216 can be written as 216³, which is the exponential form. Or it can also be written in arithmetic form as 216 × 216 × 216.
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. 216³ = 216 × 216 × 216
Step 2: You get 10,077,696 as the answer.
Hence, the cube of 216 is 10,077,696.
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 216 into two parts, as a and b. Let a = 200 and b = 16, so a + b = 216
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 200³ , 3a²b = 3 × 200² × 16 , 3ab² = 3 × 200 × 16² , b³ = 16³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³
(200 + 16)³ = 200³ + 3 × 200² × 16 + 3 × 200 × 16² + 16³ 216³
= 8,000,000 + 1,920,000 + 153,600 + 4,096 216³ = 10,077,696
Step 5: Hence, the cube of 216 is 10,077,696.
To find the cube of 216 using a calculator, input the number 216 and use the cube function (if available) or multiply 216 × 216 × 216. This operation calculates the value of 216³, resulting in 10,077,696. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Input 216
Step 3: If the calculator has a cube function, press it to calculate 216³.
Step 4: If there is no cube function on the calculator, simply multiply 216 three times manually.
Step 5: The calculator will display 10,077,696.
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 216?
The cube of 216 is 10,077,696, and the cube root of 216 is 6.
First, let’s find the cube of 216.
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 216³ = 10,077,696 Next, we must find the cube root of 216
We know that cube root of a number ‘x’, such that ³√x = y
Where ‘x’ is the given number, and y is the cube root value of the number
So, we get ³√216 = 6 Hence the cube of 216 is 10,077,696, and the cube root of 216 is 6.
If the side length of the cube is 216 cm, what is the volume?
The volume is 10,077,696 cm³.
Use the volume formula for a cube V = Side³.
Substitute 216 for the side length: V = 216³ = 10,077,696 cm³.
How much larger is 216³ than 200³?
216³ – 200³ = 2,077,696.
First, find the cube of 216³, that is 10,077,696
Next, find the cube of 200³, which is 8,000,000
Now, find the difference between them using the subtraction method.
10,077,696 – 8,000,000 = 2,077,696
Therefore, 216³ is 2,077,696 larger than 200³.
If a cube with a side length of 216 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 216 cm is 10,077,696 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 216 means multiplying 216 by itself three times: 216 × 216 = 46,656, and then 46,656 × 216 = 10,077,696.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 10,077,696 cm³.
Estimate the cube of 215.9 using the cube of 216.
The cube of 215.9 is approximately 10,077,696.
First, identify the cube of 216, The cube of 216 is 216³ = 10,077,696.
Since 215.9 is only a tiny bit less than 216, the cube of 215.9 will be almost the same as the cube of 216.
The cube of 215.9 is approximately 10,077,696 because the difference between 215.9 and 216 is very small.
So, we can approximate the value as 10,077,696.
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.