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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 505.
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 505 can be written as 5053, which is the exponential form. Or it can also be written in arithmetic form as 505 × 505 × 505.
In order to check whether a number is a cube number or not, we can use the following three methods: 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.
5053 = 505 × 505 × 505
Step 2: You get 128,012,625 as the answer.
Hence, the cube of 505 is 128,012,625.
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 505 into two parts, as 500 and 5. Let a = 500 and b = 5, so a + b = 505
Step 2: Now, apply the formula (a + b)3 = a3 + 3a2b + 3ab2 + b3
Step 3: Calculate each term a3 = 5003 , 3a2b = 3 × 5002 × 5 , 3ab2 = 3 × 500 × 52 , b3 = 53
Step 4: Add all the terms together:
(a + b)3 = a3 + 3a2b + 3ab2 + b3
(500 + 5)3 = 5003 + 3 × 5002 × 5 + 3 × 500 × 52 + 53
5053 = 125,000,000 + 3,750,000 + 37,500 + 125 5053
= 128,012,625
Step 5: Hence, the cube of 505 is 128,012,625.
To find the cube of 505 using a calculator, input the number 505 and use the cube function (if available) or multiply 505 × 505 × 505. This operation calculates the value of 5053, resulting in 128,012,625. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 5 followed by 0, and then 5
Step 3: If the calculator has a cube function, press it to calculate 5053.
Step 4: If there is no cube function on the calculator, simply multiply 505 three times manually.
Step 5: The calculator will display 128,012,625.
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 505?
The cube of 505 is 128,012,625 and the cube root of 505 is approximately 7.937.
First, let’s find the cube of 505.
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 5053 = 128,012,625
Next, we must find the cube root of 505
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 ∛505 ≈ 7.937
Hence the cube of 505 is 128,012,625 and the cube root of 505 is approximately 7.937.
If the side length of the cube is 505 cm, what is the volume?
The volume is 128,012,625 cm³.
Use the volume formula for a cube V = Side3.
Substitute 505 for the side length: V = 5053 = 128,012,625 cm³.
How much larger is 505^3 than 405^3?
5053 – 4053 = 76,521,625.
First, find the cube of 5053, that is 128,012,625
Next, find the cube of 4053, which is 51,491,000
Now, find the difference between them using the subtraction method.
128,012,625 – 51,491,000 = 76,521,625
Therefore, 5053 is 76,521,625 larger than 4053.
If a cube with a side length of 505 cm is compared to a cube with a side length of 105 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 505 cm is 128,012,625 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 505 means multiplying 505 by itself three times: 505 × 505 = 255,025, and 255,025 × 505 = 128,012,625.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 128,012,625 cm³.
Estimate the cube 504.9 using the cube 505.
The cube of 504.9 is approximately 128,012,625.
First, identify the cube of 505.
The cube of 505 is 5053 = 128,012,625.
Since 504.9 is only a tiny bit less than 505, the cube of 504.9 will be almost the same as the cube of 505.
The cube of 504.9 is approximately 128,012,625 because the difference between 504.9 and 505 is very small.
So, we can approximate the value as 128,012,625.
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.