114 LearnersLast updated on May 30th, 2025
Cube of 95
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 cubes of 95.
Cube of 95
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 95 can be written as 95³, which is the exponential form.
Or it can also be written in arithmetic form as, 95 × 95 × 95.
How to Calculate the Value of Cube of 95
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. 95³ = 95 × 95 × 95
Step 2: You get 857,375 as the answer.
Hence, the cube of 95 is 857,375.
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 95 into two parts, as and . Let a = 90 and b = 5, so a + b = 95
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 90³ 3a²b = 3 × 90² × 5 3ab² = 3 × 90 × 5² b³ = 5³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (90 + 5)³ = 90³ + 3 × 90² × 5 + 3 × 90 × 5² + 5³ 95³ = 729000 + 121500 + 6750 + 125 95³ = 857,375
Step 5: Hence, the cube of 95 is 857,375.
Using a Calculator
To find the cube of 95 using a calculator, input the number 95 and use the cube function (if available) or multiply 95 × 95 × 95. This operation calculates the value of 95³, resulting in 857,375. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 9 followed by 5
Step 3: If the calculator has a cube function, press it to calculate 95³.
Step 4: If there is no cube function on the calculator, simply multiply 95 three times manually.
Step 5: The calculator will display 857,375.
Tips and Tricks for the Cube of 95
- 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 95
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, 95 × 95 and not 95 × 95 × 95. Always remember that 95³ = 95 × 95 × 95.
Solved Examples on Cube of 95
Problem 1
What is the cube and cube root of 95?
The cube of 95 is 857,375 and the cube root of 95 is approximately 4.562.
Explanation
First, let’s find the cube of 95.
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 95³ = 857,375 Next, we must find the cube root of 95
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 ∛95 ≈ 4.562
Hence the cube of 95 is 857,375 and the cube root of 95 is approximately 4.562.
Problem 2
If the side length of the cube is 95 cm, what is the volume?
The volume is 857,375 cm³.
Explanation
Use the volume formula for a cube V = Side³.
Substitute 95 for the side length: V = 95³ = 857,375 cm³.
Problem 3
How much larger is 95³ than 85³?
95³ – 85³ = 247,375.
Explanation
First find the cube of 95³, that is 857,375
Next, find the cube of 85³, which is 614,000
Now, find the difference between them using the subtraction method. 857,375 – 614,000 = 243,375
Therefore, the 95³ is 243,375 larger than 85³.
Problem 4
If a cube with a side length of 95 cm is compared to a cube with a side length of 15 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 95 cm is 857,375 cm³.
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 95 means multiplying 95 by itself three times: 95 × 95 = 9,025, and then 9,025 × 95 = 857,375.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 857,375 cm³.
Problem 5
Estimate the cube 94.9 using the cube 95.
The cube of 94.9 is approximately 857,375.
Explanation
First, identify the cube of 95, The cube of 95 is 95³ = 857,375.
Since 94.9 is only a tiny bit less than 95, the cube of 94.9 will be almost the same as the cube of 95.
The cube of 94.9 is approximately 857,375 because the difference between 94.9 and 95 is very small.
So, we can approximate the value as 857,375.
FAQs on Cube of 95
1.What are the perfect cubes up to 95?
2.How do you calculate 95³?
3.What is the meaning of 95³?
4.What is the cube root of 95?
5.Is 95 a perfect cube?
6.How does learning Algebra help students in Vietnam make better decisions in daily life?
7.How can cultural or local activities in Vietnam support learning Algebra topics such as Cube of 95?
8.How do technology and digital tools in Vietnam support learning Algebra and Cube of 95?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Cube of 95
- 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 to 8.
- Volume: The amount of space inside a 3-dimensional object, calculated using the formula V = side³ for cubes.
- Perfect Cube: A number that can be expressed as the cube of an integer.
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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.
