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 in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 814.
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 814 can be written as 814³, which is the exponential form. Or it can also be written in arithmetic form as 814 × 814 × 814.
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 cube 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. 814³ = 814 × 814 × 814 Step 2: You get 539,890,344 as the answer. Hence, the cube of 814 is 539,890,344.
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 814 into two parts. Let a = 800 and b = 14, so a + b = 814 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 800³ 3a²b = 3 × 800² × 14 3ab² = 3 × 800 × 14² b³ = 14³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (800 + 14)³ = 800³ + 3 × 800² × 14 + 3 × 800 × 14² + 14³ 814³ = 512,000,000 + 268,800 + 470,400 + 2,744 814³ = 539,890,344 Step 5: Hence, the cube of 814 is 539,890,344.
To find the cube of 814 using a calculator, input the number 814 and use the cube function (if available) or multiply 814 × 814 × 814. This operation calculates the value of 814³, resulting in 539,890,344. 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 1 and 4. Step 3: If the calculator has a cube function, press it to calculate 814³. Step 4: If there is no cube function on the calculator, simply multiply 814 three times manually. Step 5: The calculator will display 539,890,344.
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 814?
The cube of 814 is 539,890,344 and the cube root of 814 is approximately 9.346.
First, let’s find the cube of 814. 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 814³ = 539,890,344 Next, we must find the cube root of 814 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 ∛814 ≈ 9.346 Hence, the cube of 814 is 539,890,344 and the cube root of 814 is approximately 9.346.
If the side length of the cube is 814 cm, what is the volume?
The volume is 539,890,344 cm³.
Use the volume formula for a cube V = Side³. Substitute 814 for the side length: V = 814³ = 539,890,344 cm³.
How much larger is 814³ than 800³?
814³ – 800³ = 27,890,344.
First, find the cube of 814, which is 539,890,344 Next, find the cube of 800, which is 512,000,000 Now, find the difference between them using the subtraction method. 539,890,344 – 512,000,000 = 27,890,344 Therefore, 814³ is 27,890,344 larger than 800³.
If a cube with a side length of 814 cm is compared to a cube with a side length of 14 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 814 cm is 539,890,344 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 814 means multiplying 814 by itself three times: 814 × 814 = 662,596, and then 662,596 × 814 = 539,890,344. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 539,890,344 cm³.
Estimate the cube of 813 using the cube of 814.
The cube of 813 is approximately 539,890,344.
First, identify the cube of 814, The cube of 814 is 814³ = 539,890,344. Since 813 is very close to 814, the cube of 813 will be almost the same as the cube of 814. The cube of 813 is approximately 539,890,344 because the difference between 813 and 814 is very small. So, we can approximate the value as 539,890,344.
- 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. - Perfect Cube: A number that can be expressed as the cube of an integer. - Cube Root: A number that, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3.
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.
: He loves to play the quiz with kids through algebra to make kids love it.