100 LearnersLast updated on May 27th, 2025
Cube of 844
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 844.
Cube of 844
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 844 can be written as 844³, which is the exponential form. Or it can also be written in arithmetic form as, 844 × 844 × 844.
How to Calculate the Value of Cube of 844
In order to check whether a number is a cube number or not, we can use the following three methods: the multiplication method, a factor formula (a³), or by using a calculator. These three methods will help you to 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 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. 844³ = 844 × 844 × 844 Step 2: Calculate the result: You get 601,692,064 as the answer. Hence, the cube of 844 is 601,692,064.
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 844 into two parts, as a and b. Let a = 800 and b = 44, so a + b = 844 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term: a³ = 800³ 3a²b = 3 × 800² × 44 3ab² = 3 × 800 × 44² b³ = 44³ Step 4: Add all the terms together: (800 + 44)³ = 800³ + 3 × 800² × 44 + 3 × 800 × 44² + 44³ 844³ = 512,000,000 + 84,480,000 + 4,643,200 + 85,824 844³ = 601,692,064 Step 5: Hence, the cube of 844 is 601,692,064.
Using a Calculator
To find the cube of 844 using a calculator, input the number 844 and use the cube function (if available) or multiply 844 × 844 × 844. This operation calculates the value of 844³, resulting in 601,692,064. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 8, then 4, and finally 4 Step 3: If the calculator has a cube function, press it to calculate 844³. Step 4: If there is no cube function on the calculator, simply multiply 844 three times manually. Step 5: The calculator will display 601,692,064.
Tips and Tricks for the Cube of 844
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 844
There are some typical errors that people might make during the process of cubing a number. Let us take a look at five of the major mistakes that might occur:
Mistake 1
Incorrect Multiplication
One might multiply the numbers only twice. That is, 844 × 844 and not 844 × 844 × 844. Always remember that 844³ = 844 × 844 × 844.
Solved Examples on Cube of 844
Problem 1
What is the cube and cube root of 844?
The cube of 844 is 601,692,064 and the cube root of 844 is approximately 9.434.
Explanation
First, let’s find the cube of 844. We know that the cube of a number is obtained by multiplying it three times. So, we get 844³ = 601,692,064 Next, we must find the cube root of 844. We know that the cube root of a number ‘x’ is the number that, when cubed, gives ‘x’. So, we get ³√844 ≈ 9.434 Hence the cube of 844 is 601,692,064 and the cube root of 844 is approximately 9.434.
Problem 2
If the side length of a cube is 844 cm, what is the volume?
The volume is 601,692,064 cm³.
Explanation
Use the volume formula for a cube V = Side³. Substitute 844 for the side length: V = 844³ = 601,692,064 cm³.
Problem 3
How much larger is 844³ than 800³?
844³ – 800³ = 89,692,064.
Explanation
First find the cube of 844, which is 601,692,064. Next, find the cube of 800, which is 512,000,000. Now, find the difference between them using the subtraction method. 601,692,064 – 512,000,000 = 89,692,064 Therefore, 844³ is 89,692,064 larger than 800³.
Problem 4
If a cube with a side length of 844 cm is compared to a cube with a side length of 44 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 844 cm is 601,692,064 cm³.
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 844 means multiplying 844 by itself three times: 844 × 844 = 712,336, and then 712,336 × 844 = 601,692,064. The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube. Therefore, the volume of the cube is 601,692,064 cm³.
Problem 5
Estimate the cube of 843.9 using the cube of 844.
The cube of 843.9 is approximately 601,692,064.
Explanation
First, identify the cube of 844, The cube of 844 is 844³ = 601,692,064. Since 843.9 is only a tiny bit less than 844, the cube of 843.9 will be almost the same as the cube of 844. The cube of 843.9 is approximately 601,692,064 because the difference between 843.9 and 844 is very small. So, we can approximate the value as 601,692,064.
FAQs on Cube of 844
1.What are the perfect cubes up to 844?
2.How do you calculate 844³?
3.What is the meaning of 844³?
4.What is the cube root of 844?
5.Is 844 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 844?
8.How do technology and digital tools in Bahrain support learning Algebra and Cube of 844?
9.Does learning Algebra support future career opportunities for students in Bahrain?
Important Glossaries for Cube of 844
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. Cube Root: The number that, when cubed, gives the original number. For example, the cube root of 27 is 3 because 3³ = 27. Perfect Cube: A number that is the cube of an integer. For example, 8 is a perfect cube because it is 2³.
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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.
