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 cubes of 215.
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 215 can be written as 215³, which is the exponential form. Or it can also be written in arithmetic form as, 215 × 215 × 215.
To determine whether a number is a cube number, we can use the following three methods: the multiplication method, a factor formula (a³), or by using a calculator. These methods help users to cube 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 a number by itself multiple times, forming the basis for more complex mathematical concepts.
Step 1: Write down the cube of the given number.
215³ = 215 × 215 × 215
Step 2: You get 9,938,375 as the answer.
Hence, the cube of 215 is 9,938,375.
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 215 into two parts, as 200 and 15. Let a = 200 and b = 15, so a + b = 215
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 200³ , 3a²b = 3 × 200² × 15 , 3ab² = 3 × 200 × 15² , b³ = 15³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³
(200 + 15)³ = 200³ + 3 × 200² × 15 + 3 × 200 × 15² + 15³ 215³
= 8,000,000 + 1,800,000 + 135,000 + 3,375 215³ = 9,938,375
Step 5: Hence, the cube of 215 is 9,938,375.
To find the cube of 215 using a calculator, input the number 215 and use the cube function (if available) or multiply 215 × 215 × 215. This operation calculates the value of 215³, resulting in 9,938,375. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Input 215
Step 3: If the calculator has a cube function, press it to calculate 215³.
Step 4: If there is no cube function on the calculator, simply multiply 215 three times manually.
Step 5: The calculator will display 9,938,375.
There are some typical errors that people might make during the process of cubing a number. Let us take a look at five of the major mistakes that might occur:
What is the cube and cube root of 215?
The cube of 215 is 9,938,375 and the cube root of 215 is approximately 6.004.
First, let’s find the cube of 215. We know that the cube of a number x, such that x³ = y
Where x is the given number, and y is the cubed value of that number
So, we get 215³ = 9,938,375
Next, we must find the cube root of 215.
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 ∛215 ≈ 6.004
Hence the cube of 215 is 9,938,375 and the cube root of 215 is approximately 6.004.
If the side length of a cube is 215 cm, what is the volume?
The volume is 9,938,375 cm³.
Use the volume formula for a cube V = Side³.
Substitute 215 for the side length: V = 215³ = 9,938,375 cm³.
How much larger is 215³ than 150³?
215³ – 150³ = 6,691,875.
First, find the cube of 215, which is 9,938,375.
Next, find the cube of 150, which is 3,375,000.
Now, find the difference between them using the subtraction method.
9,938,375 – 3,375,000 = 6,563,375
Therefore, 215³ is 6,563,375 larger than 150³.
If a cube with a side length of 215 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 215 cm is 9,938,375 cm³.
To find its volume, multiply the side length by itself three times (since it’s a 3-dimensional object). t
Cubing 215 means multiplying 215 by itself three times: 215 × 215 = 46,225, and then 46,225 × 215 = 9,938,375.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 9,938,375 cm³.
Estimate the cube of 214.9 using the cube of 215.
The cube of 214.9 is approximately 9,938,375.
First, identify the cube of 215, The cube of 215 is 215³ = 9,938,375.
Since 214.9 is only a tiny bit less than 215, the cube of 214.9 will be almost the same as the cube of 215.
The cube of 214.9 is approximately 9,938,375 because the difference between 214.9 and 215 is very small.
So, we can approximate the value as 9,938,375.
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.