Last updated on May 27th, 2025
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 the cube of 839.
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 839 can be written as 839³, which is the exponential form. Or it can also be written in arithmetic form as 839 × 839 × 839.
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 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
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. 839³ = 839 × 839 × 839 Step 2: You get 590,919,719 as the answer. Hence, the cube of 839 is 590,919,719.
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 839 into two parts, as 800 and 39. Let a = 800 and b = 39, so a + b = 839 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 800³ 3a²b = 3 × 800² × 39 3ab² = 3 × 800 × 39² b³ = 39³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (800 + 39)³ = 800³ + 3 × 800² × 39 + 3 × 800 × 39² + 39³ 839³ = 512,000,000 + 74,880,000 + 36,504,000 + 59,319 839³ = 590,919,719 Step 5: Hence, the cube of 839 is 590,919,719.
To find the cube of 839 using a calculator, input the number 839 and use the cube function (if available) or multiply 839 × 839 × 839. This operation calculates the value of 839³, resulting in 590,919,719. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Enter 8, 3, 9 Step 3: If the calculator has a cube function, press it to calculate 839³. Step 4: If there is no cube function on the calculator, simply multiply 839 three times manually. Step 5: The calculator will display 590,919,719.
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.
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:
What is the cube and cube root of 839?
The cube of 839 is 590,919,719 and the cube root of 839 is approximately 9.464.
First, let’s find the cube of 839. 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 839³ = 590,919,719 Next, we must find the cube root of 839. 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 ∛839 ≈ 9.464 Hence, the cube of 839 is 590,919,719 and the cube root of 839 is approximately 9.464.
If the side length of the cube is 839 cm, what is the volume?
The volume is 590,919,719 cm³.
Use the volume formula for a cube V = Side³. Substitute 839 for the side length: V = 839³ = 590,919,719 cm³.
How much larger is 839³ than 800³?
839³ – 800³ = 78,919,719.
First find the cube of 839, which is 590,919,719. Next, find the cube of 800, which is 512,000,000. Now, find the difference between them using the subtraction method. 590,919,719 – 512,000,000 = 78,919,719 Therefore, 839³ is 78,919,719 larger than 800³.
If a cube with a side length of 839 cm is compared to a cube with a side length of 39 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 839 cm is 590,919,719 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 839 means multiplying 839 by itself three times: 839 × 839 = 703,921, and then 703,921 × 839 = 590,919,719. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 590,919,719 cm³.
Estimate the cube of 839.1 using the cube of 839.
The cube of 839.1 is approximately 590,919,719.
First, identify the cube of 839, The cube of 839 is 839³ = 590,919,719. Since 839.1 is only a tiny bit more than 839, the cube of 839.1 will be almost the same as the cube of 839. The cube of 839.1 is approximately 590,919,719 because the difference between 839 and 839.1 is very small. So, we can approximate the value as 590,919,719.
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. Volume of a Cube: The volume of a cube is calculated by raising its side length to the power of 3 (side³). Perfect Cube: A number that can be expressed as the cube of an integer is called a perfect cube.
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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