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 the cube of 271.
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 271 can be written as 271³, which is the exponential form.
Or it can also be written in arithmetic form as, 271 × 271 × 271.
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. 271³ = 271 × 271 × 271
Step 2: You get 19,889,711 as the answer. Hence, the cube of 271 is 19,889,711.
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 271 into two parts. Let a = 270 and b = 1, so a + b = 271
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 270³ 3a²b = 3 × 270² × 1 3ab² = 3 × 270 × 1² b³ = 1³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (270 + 1)³ = 270³ + 3 × 270² × 1 + 3 × 270 × 1² + 1³ 271³ = 19,683,000 + 218,700 + 810 + 1 271³ = 19,889,711
Step 5: Hence, the cube of 271 is 19,889,711.
To find the cube of 271 using a calculator, input the number 271 and use the cube function (if available) or multiply 271 × 271 × 271. This operation calculates the value of 271³, resulting in 19,889,711. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 2 followed by 7 and 1
Step 3: If the calculator has a cube function, press it to calculate 271³.
Step 4: If there is no cube function on the calculator, simply multiply 271 three times manually.
Step 5: The calculator will display 19,889,711.
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 271?
The cube of 271 is 19,889,711 and the cube root of 271 is approximately 6.497.
First, let’s find the cube of 271.
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 271³ = 19,889,711.
Next, we must find the cube root of 271.
We know that the cube root of a number x, such that √³x = y, where x is the given number, and y is the cube root value of the number.
So, we get √³271 ≈ 6.497.
Hence the cube of 271 is 19,889,711 and the cube root of 271 is approximately 6.497.
If the side length of the cube is 271 cm, what is the volume?
The volume is 19,889,711 cm³.
Use the volume formula for a cube V = Side³.
Substitute 271 for the side length: V = 271³ = 19,889,711 cm³.
How much larger is 271³ than 270³?
271³ – 270³ = 206,711.
First find the cube of 271³, that is 19,889,711.
Next, find the cube of 270³, which is 19,683,000.
Now, find the difference between them using the subtraction method. 19,889,711 – 19,683,000 = 206,711.
Therefore, the 271³ is 206,711 larger than 270³.
If a cube with a side length of 271 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 271 cm is 19,889,711 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 271 means multiplying 271 by itself three times: 271 × 271 = 73,441, and then 73,441 × 271 = 19,889,711.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 19,889,711 cm³.
Estimate the cube of 270.9 using the cube of 271.
The cube of 270.9 is approximately 19,889,711.
First, identify the cube of 271.
The cube of 271 is 271³ = 19,889,711.
Since 270.9 is only a tiny bit less than 271, the cube of 270.9 will be almost the same as the cube of 271.
The cube of 270.9 is approximately 19,889,711 because the difference between 270.9 and 271 is very small.
So, we can approximate the value as 19,889,711.
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.