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 898.
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 by itself three times results in a negative number. The cube of 898 can be written as 898³, which is the exponential form. Or it can also be written in arithmetic form as, 898 × 898 × 898.
In order to check whether a number is a cube number or not, we can use the following three methods, such as 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. 898³ = 898 × 898 × 898 Step 2: You get 724,128,392 as the answer. Hence, the cube of 898 is 724,128,392.
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 898 into two parts. Let a = 900 and b = -2, so a + b = 898 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 900³ 3a²b = 3 × 900² × (-2) 3ab² = 3 × 900 × (-2)² b³ = (-2)³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (900 - 2)³ = 900³ + 3 × 900² × (-2) + 3 × 900 × (-2)² + (-2)³ 898³ = 729,000,000 - 4,860,000 + 10,800 - 8 898³ = 724,128,392 Step 5: Hence, the cube of 898 is 724,128,392.
To find the cube of 898 using a calculator, input the number 898 and use the cube function (if available) or multiply 898 × 898 × 898. This operation calculates the value of 898³, resulting in 724,128,392. 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 9 and then 8 Step 3: If the calculator has a cube function, press it to calculate 898³. Step 4: If there is no cube function on the calculator, simply multiply 898 three times manually. Step 5: The calculator will display 724,128,392.
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 898?
The cube of 898 is 724,128,392 and the cube root of 898 is approximately 9.646.
First, let’s find the cube of 898. We know that the cube of a number is such that x³ = y Where x is the given number, and y is the cubed value of that number. So, we get 898³ = 724,128,392 Next, we must find the cube root of 898. We know that the cube root of a number ‘x’ is 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√898 ≈ 9.646 Hence the cube of 898 is 724,128,392 and the cube root of 898 is approximately 9.646.
If the side length of the cube is 898 cm, what is the volume?
The volume is 724,128,392 cm³.
Use the volume formula for a cube V = Side³. Substitute 898 for the side length: V = 898³ = 724,128,392 cm³.
How much larger is 898³ than 400³?
898³ – 400³ = 723,728,392.
First, find the cube of 898, which is 724,128,392. Next, find the cube of 400, which is 64,000,000. Now, find the difference between them using the subtraction method. 724,128,392 – 64,000,000 = 723,728,392 Therefore, 898³ is 723,728,392 larger than 400³.
If a cube with a side length of 898 cm is compared to a cube with a side length of 50 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 898 cm is 724,128,392 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 898 means multiplying 898 by itself three times: 898 × 898 = 806,404, and then 806,404 × 898 = 724,128,392. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 724,128,392 cm³.
Estimate the cube of 897 using the cube of 898.
The cube of 897 is approximately 724,128,392.
First, identify the cube of 898: The cube of 898 is 898³ = 724,128,392. Since 897 is only a tiny bit less than 898, the cube of 897 will be almost the same as the cube of 898. The cube of 897 is approximately 724,128,392 because the difference between 897 and 898 is very small. So, we can approximate the value as 724,128,392.
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 squares and cubes of numbers. 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. Multiplication Method: A basic arithmetic operation where a number is added to itself a specified number of times, used to calculate the power of numbers like squares and cubes. Perfect Cube: A number that is the cube of an integer. For example, 27 is a perfect cube because it is 3³.
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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