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 in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 527.
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 527 can be written as 527³, which is the exponential form. Or it can also be written in arithmetic form as, 527 × 527 × 527.
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.
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.
527³ = 527 × 527 × 527
Step 2: You get 146,813,183 as the answer.
Hence, the cube of 527 is 146,813,183.
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 527 into two parts, as 500 and 27.
Let a = 500 and b = 27, so a + b = 527
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 500³
3a²b = 3 × 500² × 27 3ab²
= 3 × 500 × 27² b³
= 27³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³
(500 + 27)³ = 500³ + 3 × 500² × 27 + 3 × 500 × 27² + 27³
527³ = 125,000,000 + 20,250,000 + 10,935,000 + 19,683 527³ = 146,813,183
Step 5: Hence, the cube of 527 is 146,813,183.
To find the cube of 527 using a calculator, input the number 527 and use the cube function (if available) or multiply 527 × 527 × 527. This operation calculates the value of 527³, resulting in 146,813,183. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 5, 2, and 7 in sequence.
Step 3: If the calculator has a cube function, press it to calculate 527³.
Step 4: If there is no cube function on the calculator, simply multiply 527 three times manually.
Step 5: The calculator will display 146,813,183.
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 527?
The cube of 527 is 146,813,183 and the cube root of 527 is approximately 8.084.
First, let’s find the cube of 527.
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 527³ = 146,813,183
Next, we must find the cube root of 527
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 ∛527 ≈ 8.084
Hence, the cube of 527 is 146,813,183 and the cube root of 527 is approximately 8.084.
If the side length of the cube is 527 cm, what is the volume?
The volume is 146,813,183 cm³.
Use the volume formula for a cube V = Side³.
Substitute 527 for the side length: V = 527³ = 146,813,183 cm³.
How much larger is 527³ than 400³?
527³ – 400³ = 138,413,183.
First find the cube of 527³, that is 146,813,183
Next, find the cube of 400³, which is 64,000,000
Now, find the difference between them using the subtraction method.
146,813,183 – 64,000,000 = 82,813,183
Therefore, 527³ is 82,813,183 larger than 400³.
If a cube with a side length of 527 cm is compared to a cube with a side length of 30 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 527 cm is 146,813,183 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 527 means multiplying 527 by itself three times: 527 × 527 = 277,729, and then 277,729 × 527 = 146,813,183.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 146,813,183 cm³.
Estimate the cube of 526.9 using the cube of 527.
The cube of 526.9 is approximately 146,813,183.
First, identify the cube of 527.
The cube of 527 is 527³ = 146,813,183.
Since 526.9 is only a tiny bit less than 527, the cube of 526.9 will be almost the same as the cube of 527.
The cube of 526.9 is approximately 146,813,183 because the difference between 526.9 and 527 is very small.
So, we can approximate the value as 146,813,183.
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.