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 274.
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 274 can be written as 274³, which is the exponential form.
Or it can also be written in arithmetic form as, 274 × 274 × 274.
In order to verify 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 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 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. 274³ = 274 × 274 × 274
Step 2: Calculate the product to get 20,584,024 as the answer. Hence, the cube of 274 is 20,584,024.
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 274 into two parts, as 270 and 4. Let a = 270 and b = 4, so a + b = 274
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 270³ 3a²b = 3 × 270² × 4 3ab² = 3 × 270 × 4² b³ = 4³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (270 + 4)³ = 270³ + 3 × 270² × 4 + 3 × 270 × 4² + 4³ 274³ = 19,683,000 + 874,800 + 12,960 + 64 274³ = 20,584,824
Step 5: Hence, the cube of 274 is 20,584,024.
To find the cube of 274 using a calculator, input the number 274 and use the cube function (if available) or multiply 274 × 274 × 274. This operation calculates the value of 274³, resulting in 20,584,024. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Enter 274
Step 3: If the calculator has a cube function, press it to calculate 274³.
Step 4: If there is no cube function on the calculator, simply multiply 274 three times manually.
Step 5: The calculator will display 20,584,024.
There are some typical errors that kids might make during the process of cubing a number. Let us take a look at some of the major mistakes that kids might make:
What is the cube and cube root of 274?
The cube of 274 is 20,584,024 and the cube root of 274 is approximately 6.497.
First, let’s find the cube of 274.
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 274³ = 20,584,024
Next, we must find the cube root of 274
We know that 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 ∛274 ≈ 6.497
Hence, the cube of 274 is 20,584,024 and the cube root of 274 is approximately 6.497.
If the side length of the cube is 274 cm, what is the volume?
The volume is 20,584,024 cm³.
Use the volume formula for a cube V = Side³.
Substitute 274 for the side length: V = 274³ = 20,584,024 cm³.
How much larger is 274³ than 200³?
274³ – 200³ = 12,584,024.
First find the cube of 274, which is 20,584,024.
Next, find the cube of 200, which is 8,000,000.
Now, find the difference between them using the subtraction method. 20,584,024 – 8,000,000 = 12,584,024.
Therefore, 274³ is 12,584,024 larger than 200³.
If a cube with a side length of 274 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 274 cm is 20,584,024 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 274 means multiplying 274 by itself three times: 274 × 274 = 75,076, and then 75,076 × 274 = 20,584,024.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 20,584,024 cm³.
Estimate the cube of 273.9 using the cube of 274.
The cube of 273.9 is approximately 20,584,024.
First, identify the cube of 274,
The cube of 274 is 274³ = 20,584,024.
Since 273.9 is only a tiny bit less than 274, the cube of 273.9 will be almost the same as the cube of 274.
The cube of 273.9 is approximately 20,584,024 because the difference between 273.9 and 274 is very small.
So, we can approximate the value as 20,584,024.
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.