100 LearnersLast updated on May 27th, 2025
Cube of 908
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 908.
Cube of 908
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 908 can be written as 908³, which is the exponential form. Or it can also be written in arithmetic form as 908 × 908 × 908.
How to Calculate the Value of the Cube of 908
In order to check whether a number is a cube number or not, we can use the following three methods: multiplication method, 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 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. 908³ = 908 × 908 × 908 Step 2: You get 748,052,032 as the answer. Hence, the cube of 908 is 748,052,032.
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 908 into two parts. Let a = 900 and b = 8, so a + b = 908. Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³. Step 3: Calculate each term: a³ = 900³ 3a²b = 3 × 900² × 8 3ab² = 3 × 900 × 8² b³ = 8³ Step 4: Add all the terms together: (900 + 8)³ = 900³ + 3 × 900² × 8 + 3 × 900 × 8² + 8³ 908³ = 729,000,000 + 194,400 + 17,280 + 512 908³ = 748,052,032 Step 5: Hence, the cube of 908 is 748,052,032.
Using a Calculator
To find the cube of 908 using a calculator, input the number 908 and use the cube function (if available) or multiply 908 × 908 × 908. This operation calculates the value of 908³, resulting in 748,052,032. 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 0 and 8. Step 3: If the calculator has a cube function, press it to calculate 908³. Step 4: If there is no cube function on the calculator, simply multiply 908 three times manually. Step 5: The calculator will display 748,052,032.
Tips and Tricks for the Cube of 908
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 908
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, 908 × 908 and not 908 × 908 × 908. Always remember that 908³ = 908 × 908 × 908.
Solved Examples on Cube of 908
Problem 1
What is the cube and cube root of 908?
The cube of 908 is 748,052,032 and the cube root of 908 is approximately 9.655.
Explanation
First, let’s find the cube of 908. 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 908³ = 748,052,032. Next, we must find the cube root of 908. We know that the 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√908 ≈ 9.655. Hence, the cube of 908 is 748,052,032 and the cube root of 908 is approximately 9.655.
Problem 2
If the side length of a cube is 908 cm, what is the volume?
The volume is 748,052,032 cm³.
Explanation
Use the volume formula for a cube V = Side³. Substitute 908 for the side length: V = 908³ = 748,052,032 cm³.
Problem 3
How much larger is 908³ than 400³?
908³ – 400³ = 747,952,032.
Explanation
First, find the cube of 908, which is 748,052,032. Next, find the cube of 400, which is 64,000,000. Now, find the difference between them using the subtraction method. 748,052,032 – 64,000,000 = 684,052,032. Therefore, 908³ is 684,052,032 larger than 400³.
Problem 4
If a cube with a side length of 908 cm is compared to a cube with a side length of 10 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 908 cm is 748,052,032 cm³.
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 908 means multiplying 908 by itself three times: 908 × 908 = 824,464, and then 824,464 × 908 = 748,052,032. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 748,052,032 cm³.
Problem 5
Estimate the cube 907.9 using the cube of 908.
The cube of 907.9 is approximately 748,052,032.
Explanation
First, identify the cube of 908, The cube of 908 is 908³ = 748,052,032. Since 907.9 is only a tiny bit less than 908, the cube of 907.9 will be almost the same as the cube of 908. The cube of 907.9 is approximately 748,052,032 because the difference between 907.9 and 908 is very small. So, we can approximate the value as 748,052,032.
FAQs on Cube of 908
1.What are the perfect cubes up to 908?
2.How do you calculate 908³?
3.What is the meaning of 908³?
4.What is the cube root of 908?
5.Is 908 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 908?
8.How do technology and digital tools in Vietnam support learning Algebra and Cube of 908?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Cube of 908
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 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 cube of an integer. Volume of a Cube: Calculated as the side length raised to the power of three (Side³), representing the space inside the cube.
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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.
