Last updated on June 28th, 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 the cube of 1274.
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 1274 can be written as 1274³, which is the exponential form.
Or it can also be written in arithmetic form as, 1274 × 1274 × 1274.
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.
By Multiplication Method Using a Formula Using a Calculator
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. 1274³ = 1274 × 1274 × 1274
Step 2: Calculate the result. Hence, the cube of 1274 is 2,068,514,824.
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 1274 into two parts, as a and b. Let a = 1200 and b = 74, so a + b = 1274
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 1200³ 3a²b = 3 × 1200² × 74 3ab² = 3 × 1200 × 74² b³ = 74³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1200 + 74)³ = 1200³ + 3 × 1200² × 74 + 3 × 1200 × 74² + 74³ 1274³ = 1,728,000,000 + 319,680,000 + 196,560,000 + 405,224 1274³ = 2,068,514,224
Step 5: Hence, the cube of 1274 is 2,068,514,824.
To find the cube of 1274 using a calculator, input the number 1274 and use the cube function (if available) or multiply 1274 × 1274 × 1274.
This operation calculates the value of 1274³, resulting in 2,068,514,824.
It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 1 followed by 2, 7, and 4
Step 3: If the calculator has a cube function, press it to calculate 1274³.
Step 4: If there is no cube function on the calculator, simply multiply 1274 three times manually.
Step 5: The calculator will display 2,068,514,824.
The cube of any even number is always even, while the cube of any odd number is always odd.
The product of two or more perfect cube numbers is always a perfect cube.
A perfect cube can always be expressed as the product of three identical groups of equal prime factors.
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 1274?
The cube of 1274 is 2,068,514,824 and the cube root of 1274 is approximately 10.732.
First, let’s find the cube of 1274. 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 1274³ = 2,068,514,824 Next, we must find the cube root of 1274.
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 ∛1274 ≈ 10.732 Hence the cube of 1274 is 2,068,514,824 and the cube root of 1274 is approximately 10.732.
If the side length of the cube is 1274 cm, what is the volume?
The volume is 2,068,514,824 cm³.
Use the volume formula for a cube V = Side³. Substitute 1274 for the side length: V = 1274³ = 2,068,514,824 cm³.
How much larger is 1274³ than 1000³?
1274³ – 1000³ = 1,068,514,824.
First, find the cube of 1274³, that is 2,068,514,824 Next, find the cube of 1000³, which is 1,000,000,000
Now, find the difference between them using the subtraction method. 2,068,514,824 – 1,000,000,000 = 1,068,514,824
Therefore, 1274³ is 1,068,514,824 larger than 1000³.
If a cube with a side length of 1274 cm is compared to a cube with a side length of 500 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 1274 cm is 2,068,514,824 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 1274 means multiplying 1274 by itself three times: 1274 × 1274 = 1,622,276, and then 1,622,276 × 1274 = 2,068,514,824.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 2,068,514,824 cm³.
Estimate the cube of 1273 using the cube of 1274.
The cube of 1273 is approximately 2,068,514,824.
First, identify the cube of 1274, The cube of 1274 is 1274³ = 2,068,514,824.
Since 1273 is only a tiny bit less than 1274, the cube of 1273 will be almost the same as the cube of 1274.
The cube of 1273 is approximately 2,068,514,824 because the difference between 1273 and 1274 is very small.
So, we can approximate the value as 2,068,514,824.
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.