Last updated on June 2nd, 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 427.
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 427 can be written as 4273, which is the exponential form.
Or it can also be written in arithmetic form as, 427 × 427 × 427.
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 (\(a^3\)), 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. 4273 = 427 × 427 × 427
Step 2: You get 77,889,083 as the answer. Hence, the cube of 427 is 77,889,083.
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 427 into two parts, as 420 and 7. Let a = 420 and b = 7, so a + b = 427.
Step 2: Now, apply the formula (a + b)3 = a3 + 3a2b + 3ab2 + b3.
Step 3: Calculate each term a3= 4203 3a2b = 3 × 4202 × 7 3ab2 = 3 × 420 × 72 b3 = 73
Step 4: Add all the terms together: (a + b)3 = a3 + 3a2b + 3ab2 + b3 (420 + 7)3 = 4203 + 3 × 4202 × 7 + 3 × 420 × 72 + 73 4273 = 74,088,000 + 3,955,200 + 88,200 + 343 4273 = 77,889,083
Step 5: Hence, the cube of 427 is 77,889,083.
To find the cube of 427 using a calculator, input the number 427 and use the cube function (if available) or multiply 427 × 427 × 427. This operation calculates the value of \(427^3\), resulting in 77,889,083. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 4 followed by 2 and 7
Step 3: If the calculator has a cube function, press it to calculate 4273.
Step 4: If there is no cube function on the calculator, simply multiply 427 three times manually.
Step 5: The calculator will display 77,889,083.
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 427?
The cube of 427 is 77,889,083 and the cube root of 427 is approximately 7.506.
First, let’s find the cube of 427.
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 4273 = 77,889,083
Next, we must find the cube root of 427
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 ∛427 ≈ 7.506
Hence the cube of 427 is 77,889,083 and the cube root of 427 is approximately 7.506.
If the side length of the cube is 427 cm, what is the volume?
The volume is 77,889,083 cm³.
Use the volume formula for a cube V = Side3.
Substitute 427 for the side length: V = 4273 = 77,889,083cm3.
How much larger is \(427^3\) than \(420^3\)?
4273 - 4203 = 13,551,683.
First, find the cube of 4273, which is 77,889,083.
Next, find the cube of 4203, which is 64,337,400.
Now, find the difference between them using the subtraction method. 77,889,083 - 64,337,400 = 13,551,683.
Therefore, 4273 is 13,551,683 larger than 4203.
If a cube with a side length of 427 cm is compared to a cube with a side length of 7 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 427 cm is 77,889,083 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 427 means multiplying 427 by itself three times: 427 × 427 = 182,329, and then 182,329 × 427 = 77,889,083.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 77,889,083 cm³.
Estimate the cube 426.9 using the cube 427.
The cube of 426.9 is approximately 77,889,083.
First, identify the cube of 427
The cube of 427 is 4273 = 77,889,083.
Since 426.9 is only a tiny bit less than 427, the cube of 426.9 will be almost the same as the cube of 427.
The cube of 426.9 is approximately 77,889,083 because the difference between 426.9 and 427 is very small.
So, we can approximate the value as 77,889,083.
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.