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 when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 830.
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 830 can be written as 830³, which is the exponential form. Or it can also be written in arithmetic form as, 830 × 830 × 830.
In order to check whether a number is a cube number or not, we can use the following three methods: 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. 830³ = 830 × 830 × 830 Step 2: You get 571,787,000 as the answer. Hence, the cube of 830 is 571,787,000.
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 830 into two parts, as 800 and 30. Let a = 800 and b = 30, so a + b = 830 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 800³ 3a²b = 3 × 800² × 30 3ab² = 3 × 800 × 30² b³ = 30³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (800 + 30)³ = 800³ + 3 × 800² × 30 + 3 × 800 × 30² + 30³ 830³ = 512,000,000 + 57,600,000 + 576,000 + 27,000 830³ = 571,787,000 Step 5: Hence, the cube of 830 is 571,787,000.
To find the cube of 830 using a calculator, input the number 830 and use the cube function (if available) or multiply 830 × 830 × 830. This operation calculates the value of 830³, resulting in 571,787,000. 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 3 and then 0 Step 3: If the calculator has a cube function, press it to calculate 830³. Step 4: If there is no cube function on the calculator, simply multiply 830 three times manually. Step 5: The calculator will display 571,787,000.
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 830?
The cube of 830 is 571,787,000 and the cube root of 830 is approximately 9.445.
First, let’s find the cube of 830. 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 830³ = 571,787,000 Next, we must find the cube root of 830 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 ∛830 ≈ 9.445 Hence, the cube of 830 is 571,787,000 and the cube root of 830 is approximately 9.445.
If the side length of the cube is 830 cm, what is the volume?
The volume is 571,787,000 cm³.
Use the volume formula for a cube V = Side³. Substitute 830 for the side length: V = 830³ = 571,787,000 cm³.
How much larger is 830³ than 800³?
830³ – 800³ = 59,787,000.
First find the cube of 830³, that is 571,787,000 Next, find the cube of 800³, which is 512,000,000 Now, find the difference between them using the subtraction method. 571,787,000 – 512,000,000 = 59,787,000 Therefore, 830³ is 59,787,000 larger than 800³.
If a cube with a side length of 830 cm is compared to a cube with a side length of 30 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 830 cm is 571,787,000 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 830 means multiplying 830 by itself three times: 830 × 830 = 688,900, and 688,900 × 830 = 571,787,000. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 571,787,000 cm³.
Estimate the cube of 829.9 using the cube of 830.
The cube of 829.9 is approximately 571,787,000.
First, identify the cube of 830, The cube of 830 is 830³ = 571,787,000. Since 829.9 is only a tiny bit less than 830, the cube of 829.9 will be almost the same as the cube of 830. The cube of 829.9 is approximately 571,787,000 because the difference between 829.9 and 830 is very small. So, we can approximate the value as 571,787,000.
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. Volume of a Cube: The space inside a cube, calculated by cubing the side length, represented as V = Side³. Perfect Cube: A number that is the cube of an integer.
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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