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 size of objects or things with cubic measurements. In this topic, we shall learn about the cube of 273.
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 273 can be written as 273³, which is the exponential form.
Or it can also be written in arithmetic form as 273 × 273 × 273.
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. 273³ = 273 × 273 × 273
Step 2: You get 20,358,417 as the answer. Hence, the cube of 273 is 20,358,417.
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 273 into two parts, as a and b. Let a = 270 and b = 3, so a + b = 273
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³= 270³ 3a²b = 3 × 270² × 3 3ab² = 3 × 270 × 3² b³ = 3³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (270 + 3)³ = 270³ + 3 × 270² × 3 + 3 × 270 × 3² + 3³ 273³ = 19,683,000 + 656,100 + 7,290 + 27 273³ = 20,358,417
Step 5: Hence, the cube of 273 is 20,358,417.
To find the cube of 273 using a calculator, input the number 273 and use the cube function (if available) or multiply 273 × 273 × 273. This operation calculates the value of 273³, resulting in 20,358,417. 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 3
Step 3: If the calculator has a cube function, press it to calculate 273³.
Step 4: If there is no cube function on the calculator, simply multiply 273 three times manually.
Step 5: The calculator will display 20,358,417.
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 273?
The cube of 273 is 20,358,417 and the cube root of 273 is approximately 6.489.
First, let’s find the cube of 273.
We know that the cube of a number is x³ = y
Where x is the given number, and y is the cubed value of that number
So, we get 273³= 20,358,417
Next, we must find the cube root of 273
We know that the cube root of a number x is ∛x = y
Where x is the given number, and y is the cube root value of the number
So, we get ∛273 ≈ 6.489
Hence, the cube of 273 is 20,358,417 and the cube root of 273 is approximately 6.489.
If the side length of the cube is 273 cm, what is the volume?
The volume is 20,358,417 cm³.
Use the volume formula for a cube V = Side³.
Substitute 273 for the side length: V = 273³ = 20,358,417 cm³.
How much larger is 273³ than 83³?
273³ – 83³ = 20,345,721.
First find the cube of 273³, which is 20,358,417 Next, find the cube of 83³, which is 12,696,
Now, find the difference between them using the subtraction method. 20,358,417 – 12,696 = 20,345,721
Therefore, 273³ is 20,345,721 larger than 83³.
If a cube with a side length of 273 cm is compared to a cube with a side length of 15 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 273 cm is 20,358,417 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 273 means multiplying 273 by itself three times: 273 × 273 = 74,529, and then 74,529 × 273 = 20,358,417.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 20,358,417 cm³.
Estimate the cube of 272.5 using the cube of 273.
The cube of 272.5 is approximately 20,358,417.
First, identify the cube of 273,
The cube of 273 is 273³ = 20,358,417.
Since 272.5 is only a tiny bit less than 273, the cube of 272.5 will be almost the same as the cube of 273.
The cube of 272.5 is approximately 20,358,417 because the difference between 272.5 and 273 is very small.
So, we can approximate the value as 20,358,417.
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.