115 LearnersLast updated on May 29th, 2025
Cube of 88
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 88.
Cube of 88
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 88 can be written as 88³, which is the exponential form.
Or it can also be written in arithmetic form as, 88 × 88 × 88.
How to Calculate the Value of Cube of 88
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.
- By Multiplication Method
- Using a Formula (a3)
- 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. 88³ = 88 × 88 × 88
Step 2: You get 681,472 as the answer.
Hence, the cube of 88 is 681,472.
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 88 into two parts. Let a = 80 and b = 8, so a + b = 88
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 80³ 3a²b = 3 × 80² × 8 3ab² = 3 × 80 × 8² b³ = 8³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (80 + 8)³ = 80³ + 3 × 80² × 8 + 3 × 80 × 8² + 8³ 88³ = 512,000 + 153,600 + 15,360 + 512 88³ = 681,472
Step 5: Hence, the cube of 88 is 681,472.
Using a Calculator
To find the cube of 88 using a calculator, input the number 88 and use the cube function (if available) or multiply 88 × 88 × 88. This operation calculates the value of 88³, resulting in 681,472. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 8 followed by 8
Step 3: If the calculator has a cube function, press it to calculate 88³.
Step 4: If there is no cube function on the calculator, simply multiply 88 three times manually.
Step 5: The calculator will display 681,472.
Tips and Tricks for the Cube of 88
- 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 88
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, 88 × 88 and not 88 × 88 × 88. Always remember that 88³ = 88 × 88 × 88.
Solved Examples on Cube of 88
Problem 1
What is the cube and cube root of 88?
The cube of 88 is 681,472 and the cube root of 88 is approximately 4.447.
Explanation
First, let’s find the cube of 88.
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 88³ = 681,472 Next, we must find the cube root of 88
We know that cube root of a number ‘x’, 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√88 ≈ 4.447
Hence the cube of 88 is 681,472 and the cube root of 88 is approximately 4.447.
Problem 2
If the side length of the cube is 88 cm, what is the volume?
The volume is 681,472 cm³.
Explanation
Use the volume formula for a cube V = Side³.
Substitute 88 for the side length: V = 88³ = 681,472 cm³.
Problem 3
How much larger is 88³ than 80³?
88³ – 80³ = 169,472.
Explanation
First find the cube of 88³, that is 681,472
Next, find the cube of 80³, which is 512,000
Now, find the difference between them using the subtraction method. 681,472 – 512,000 = 169,472
Therefore, the 88³ is 169,472 larger than 80³.
Problem 4
If a cube with a side length of 88 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 88 cm is 681,472 cm³.
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 88 means multiplying 88 by itself three times: 88 × 88 = 7,744, and then 7,744 × 88 = 681,472.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 681,472 cm³.
Problem 5
Estimate the cube of 87.9 using the cube of 88.
The cube of 87.9 is approximately 681,472.
Explanation
First, identify the cube of 88,
The cube of 88 is 88³ = 681,472.
Since 87.9 is only a tiny bit less than 88, the cube of 87.9 will be almost the same as the cube of 88.
The cube of 87.9 is approximately 681,472 because the difference between 87.9 and 88 is very small.
So, we can approximate the value as 681,472.
FAQs on Cube of 88
1.What are the perfect cubes up to 88?
2.How do you calculate 88³?
3.What is the meaning of 88³?
4.What is the cube root of 88?
5.Is 88 a perfect cube?
6.How does learning Algebra help students in Bahrain make better decisions in daily life?
7.How can cultural or local activities in Bahrain support learning Algebra topics such as Cube of 88?
8.How do technology and digital tools in Bahrain support learning Algebra and Cube of 88?
9.Does learning Algebra support future career opportunities for students in Bahrain?
Important Glossaries for Cube of 88
- Binomial Formula: It is 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: It is a way 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 equals 8.
- Perfect Cube: A number that can be expressed as the product of an integer multiplied by itself twice more. For example, 27 is a perfect cube because it is 3 × 3 × 3.
- Volume of a Cube: The amount of space enclosed within a cube, calculated as the side length to the third power, represented as side³.
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About BrightChamps in Bahrain
Jaskaran Singh Saluja
About the Author
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.
Fun Fact
: He loves to play the quiz with kids through algebra to make kids love it.
