113 LearnersLast updated on May 28th, 2025
Cube of 488
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 cubes of 488.
Cube of 488
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 488 can be written as 488³, which is the exponential form. Or it can also be written in arithmetic form as 488 × 488 × 488.
How to Calculate the Value of Cube of 488
In order to check whether a number is a cube number or not, we can use the following three methods, such as the multiplication method, a factor formula (a³), or by using a calculator. These three methods will help kids cube numbers faster and easier without feeling confused or stuck while evaluating the answers.
- By Multiplication Method
- Using a Formula
- Using a Calculator
By Multiplication Method
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. 488³ = 488 × 488 × 488
Step 2: You get 116,182,272 as the answer. Hence, the cube of 488 is 116,182,272.
Using a Formula (a³)
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 488 into two parts. Let a = 480 and b = 8, so a + b = 488
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 480³
3a²b = 3 × 480² × 8
3ab² = 3 × 480 × 8²
b³ = 8³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(480 + 8)³ = 480³ + 3 × 480² × 8 + 3 × 480 × 8² + 8³
488³ = 110,592,000 + 55,296 + 92,160 + 512
488³ = 116,182,272
Step 5: Hence, the cube of 488 is 116,182,272.
Using a Calculator
To find the cube of 488 using a calculator, input the number 488 and use the cube function (if available) or multiply 488 × 488 × 488. This operation calculates the value of 488³, resulting in 116,182,272. 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 followed by 8
Step 3: If the calculator has a cube function, press it to calculate 488³.
Step 4: If there is no cube function on the calculator, simply multiply 488 three times manually.
Step 5: The calculator will display 116,182,272.
Tips and Tricks for the Cube of 488
- 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.
Common Mistakes to Avoid When Calculating the Cube of 488
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:
Mistake 1
Incorrect Multiplication
Kids might multiply the numbers only twice. That is, 488 × 488 and not 488 × 488 × 488. Always remember that 488³ = 488 × 488 × 488.
Solved Examples on Cube of 488
Problem 1
What is the cube and cube root of 488?
The cube of 488 is 116,182,272 and the cube root of 488 is approximately 7.884.
Explanation
First, let’s find the cube of 488.
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 488³ = 116,182,272
Next, we must find the cube root of 488. 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 ∛488 ≈ 7.884
Hence the cube of 488 is 116,182,272 and the cube root of 488 is approximately 7.884.
Problem 2
If the side length of the cube is 488 cm, what is the volume?
The volume is 116,182,272 cm³.
Explanation
Use the volume formula for a cube V = Side³.
Substitute 488 for the side length: V = 488³ = 116,182,272 cm³.
Problem 3
How much larger is 488³ than 480³?
488³ – 480³ = 116,182,272 - 110,592,000 = 5,590,272
Explanation
First, find the cube of 488³, which is 116,182,272. Next, find the cube of 480³, which is 110,592,000.
Now, find the difference between them using the subtraction method.
116,182,272 – 110,592,000 = 5,590,272
Therefore, 488³ is 5,590,272 larger than 480³.
Problem 4
If a cube with a side length of 488 cm is compared to a cube with a side length of 8 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 488 cm is 116,182,272 cm³, which is significantly larger than the smaller cube's volume.
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 488 means multiplying 488 by itself three times: 488 × 488 = 238,144, and then 238,144 × 488 = 116,182,272.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 116,182,272 cm³.
Problem 5
Estimate the cube of 487.9 using the cube of 488.
The cube of 487.9 is approximately 116,182,272.
Explanation
First, identify the cube of 488, The cube of 488 is 488³ = 116,182,272.
Since 487.9 is only a tiny bit less than 488, the cube of 487.9 will be almost the same as the cube of 488.
The cube of 487.9 is approximately 116,182,272 because the difference between 487.9 and 488 is very small.
So, we can approximate the value as 116,182,272.
FAQs on Cube of 488
1.What are the perfect cubes up to 488?
2.How do you calculate 488³?
3.What is the meaning of 488³?
4.What is the cube root of 488?
5.Is 488 a perfect cube?
6.How does learning Algebra help students in Philippines make better decisions in daily life?
7.How can cultural or local activities in Philippines support learning Algebra topics such as Cube of 488?
8.How do technology and digital tools in Philippines support learning Algebra and Cube of 488?
9.Does learning Algebra support future career opportunities for students in Philippines?
Important Glossaries for Cube of 488
- Binomial Formula: An algebraic expression used to expand the powers of a number, written as (a + b)ⁿ, where ‘n’ is a positive integer raised to the base. The formula is used to find the square and cube of a number.
- Cube of a Number: Multiplying a number by itself three times is called the cube of a number.
- Exponential Form: A method of expressing numbers using a base and an exponent (or power), where the exponent value indicates how many times the base is multiplied by itself. For example, 2³ represents 2 × 2 × 2 which equals 8.
- Perfect Cube: A number that can be expressed as the product of an integer multiplied by itself twice, such as 8 (2 × 2 × 2) or 27 (3 × 3 × 3).
- Volume: The amount of space a 3-dimensional object occupies, often measured in cubic units. For a cube, it is calculated as the side length cubed.
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Jaskaran Singh Saluja
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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.
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