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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 482.
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 multiplied by itself three times results in a negative number.
The cube of 482 can be written as 482³, which is the exponential form. Or it can also be written in arithmetic form as, 482 × 482 × 482.
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 (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. 482³ = 482 × 482 × 482
Step 2: You get 111,063,368 as the answer. Hence, the cube of 482 is 111,063,368.
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 482 into two parts, as 480 and 2. Let a = 480 and b = 2, so a + b = 482
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 480³
3a²b = 3 × 480² × 2
3ab² = 3 × 480 × 2²
b³ = 2³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(480 + 2)³ = 480³ + 3 × 480² × 2 + 3 × 480 × 2² + 2³
482³ = 110592000 + 1382400 + 5760 + 8
482³ = 111063368
Step 5: Hence, the cube of 482 is 111,063,368.
To find the cube of 482 using a calculator, input the number 482 and use the cube function (if available) or multiply 482 × 482 × 482. This operation calculates the value of 482³, resulting in 111,063,368. 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 2
Step 3: If the calculator has a cube function, press it to calculate 482³.
Step 4: If there is no cube function on the calculator, simply multiply 482 three times manually.
Step 5: The calculator will display 111,063,368.
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 482?
The cube of 482 is 111,063,368 and the cube root of 482 is approximately 7.818.
First, let’s find the cube of 482. We know that the cube of a number is calculated as x³ = y Where x is the given number, and y is the cubed value of that number
So, we get 482³ = 111,063,368
Next, we must find the cube root of 482 We know that the cube root of a number ‘x’ is such that ³√x = y Where x is the given number, and y is the cube root value of the number
So, we get ³√482 ≈ 7.818
Hence, the cube of 482 is 111,063,368 and the cube root of 482 is approximately 7.818.
If the side length of the cube is 482 cm, what is the volume?
The volume is 111,063,368 cm³.
Use the volume formula for a cube V = Side³.
Substitute 482 for the side length: V = 482³ = 111,063,368 cm³.
How much larger is 482³ than 400³?
482³ – 400³ = 59,063,368.
First, find the cube of 482, which is 111,063,368
Next, find the cube of 400, which is 64,000,000
Now, find the difference between them using the subtraction method:
111,063,368 – 64,000,000 = 47,063,368
Therefore, 482³ is 47,063,368 larger than 400³.
If a cube with a side length of 482 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 482 cm is 111,063,368 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 482 means multiplying 482 by itself three times: 482 × 482 = 232,324, and then 232,324 × 482 = 111,063,368.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 111,063,368 cm³.
Estimate the cube of 480 using the cube of 482.
The cube of 480 is approximately 110,592,000.
First, identify the cube of 482, The cube of 482 is 482³ = 111,063,368.
Since 480 is slightly less than 482, the cube of 480 will be slightly less than the cube of 482.
The cube of 480 is approximately 110,592,000 because 480 is close to 482.
So, we can approximate the value as 110,592,000.
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.