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 when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 480.
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 480 can be written as 480³, which is the exponential form. Or it can also be written in arithmetic form as 480 × 480 × 480.
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. 480³ = 480 × 480 × 480
Step 2: You get 110,592,000 as the answer. Hence, the cube of 480 is 110,592,000.
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 480 into two parts, as 400 and 80. Let a = 400 and b = 80, so a + b = 480
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 400³
3a²b = 3 × 400² × 80
3ab² = 3 × 400 × 80²
b³ = 80³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(400 + 80)³ = 400³ + 3 × 400² × 80 + 3 × 400 × 80² + 80³
480³ = 64,000,000 + 38,400,000 + 7,680,000 + 512,000
480³ = 110,592,000
Step 5: Hence, the cube of 480 is 110,592,000.
To find the cube of 480 using a calculator, input the number 480 and use the cube function (if available) or multiply 480 × 480 × 480. This operation calculates the value of 480³, resulting in 110,592,000. 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 0
Step 3: If the calculator has a cube function, press it to calculate 480³.
Step 4: If there is no cube function on the calculator, simply multiply 480 three times manually.
Step 5: The calculator will display 110,592,000.
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 480?
The cube of 480 is 110,592,000 and the cube root of 480 is approximately 7.782.
First, let’s find the cube of 480.
We know that the cube of a number is such that x³ = y, where x is the given number, and y is the cubed value of that number.
So, we get 480³ = 110,592,000.
Next, we must find the cube root of 480. 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√480 ≈ 7.782.
Hence the cube of 480 is 110,592,000 and the cube root of 480 is approximately 7.782.
If the side length of a cube is 480 cm, what is the volume?
The volume is 110,592,000 cm³.
Use the volume formula for a cube V = Side³.
Substitute 480 for the side length: V = 480³ = 110,592,000 cm³.
How much larger is 480³ than 400³?
480³ – 400³ = 46,592,000.
First, find the cube of 480³, that is 110,592,000.
Next, find the cube of 400³, which is 64,000,000.
Now, find the difference between them using the subtraction method.
110,592,000 – 64,000,000 = 46,592,000.
Therefore, 480³ is 46,592,000 larger than 400³.
If a cube with a side length of 480 cm is compared to a cube with a side length of 80 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 480 cm is 110,592,000 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 480 means multiplying 480 by itself three times: 480 × 480 = 230,400, and then 230,400 × 480 = 110,592,000.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 110,592,000 cm³.
Estimate the cube 479.9 using the cube 480.
The cube of 479.9 is approximately 110,592,000.
First, identify the cube of 480. The cube of 480 is 480³ = 110,592,000.
Since 479.9 is only a tiny bit less than 480, the cube of 479.9 will be almost the same as the cube of 480.
The cube of 479.9 is approximately 110,592,000 because the difference between 479.9 and 480 is very small.
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.