Last updated on May 28th, 2025
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used in while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 485.
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 485 can be written as 485³, which is the exponential form. Or it can also be written in arithmetic form as, 485 × 485 × 485.
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. 485³ = 485 × 485 × 485
Step 2: You get 114,084,125 as the answer. Hence, the cube of 485 is 114,084,125.
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 485 into two parts, as and . Let a = 480 and b = 5, so a + b = 485
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 480³
3a²b = 3 × 480² × 5
3ab² = 3 × 480 × 5²
b³ = 5³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(480 + 5)³ = 480³ + 3 × 480² × 5 + 3 × 480 × 5² + 5³
485³ = 110592000 + 345600 + 3600 + 125
485³ = 114084125
Step 5: Hence, the cube of 485 is 114,084,125.
To find the cube of 485 using a calculator, input the number 485 and use the cube function (if available) or multiply 485 × 485 × 485. This operation calculates the value of 485³, resulting in 114,084,125. 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 8 and 5
Step 3: If the calculator has a cube function, press it to calculate 485³.
Step 4: If there is no cube function on the calculator, simply multiply 485 three times manually.
Step 5: The calculator will display 114,084,125.
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 485?
The cube of 485 is 114,084,125 and the cube root of 485 is approximately 7.82.
First, let’s find the cube of 485.
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 485³ = 114,084,125
Next, we must find the cube root of 485. 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 ∛485 ≈ 7.82
Hence the cube of 485 is 114,084,125 and the cube root of 485 is approximately 7.82.
If the side length of the cube is 485 cm, what is the volume?
The volume is 114,084,125 cm³.
Use the volume formula for a cube V = Side³.
Substitute 485 for the side length: V = 485³ = 114,084,125 cm³.
How much larger is 485³ than 480³?
485³ – 480³ = 3,492,125.
First find the cube of 485³, that is 114,084,125
Next, find the cube of 480³, which is 110,592,000
Now, find the difference between them using the subtraction method. 114,084,125 – 110,592,000 = 3,492,125
Therefore, the 485³ is 3,492,125 larger than 480³.
If a cube with a side length of 485 cm is compared to a cube with a side length of 5 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 485 cm is 114,084,125 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 485 means multiplying 485 by itself three times: 485 × 485 = 235,225, and then 235,225 × 485 = 114,084,125.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 114,084,125 cm³.
Estimate the cube 484.5 using the cube of 485.
The cube of 484.5 is approximately 114,084,125.
First, identify the cube of 485, The cube of 485 is 485³ = 114,084,125.
Since 484.5 is only a tiny bit less than 485, the cube of 484.5 will be almost the same as the cube of 485.
The cube of 484.5 is approximately 114,084,125 because the difference between 484.5 and 485 is very small.
So, we can approximate the value as 114,084,125.
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.