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 889.
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 889 can be written as 889³, which is the exponential form. Or it can also be written in arithmetic form as, 889 × 889 × 889.
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. 889³ = 889 × 889 × 889 Step 2: You get 702,776,969 as the answer. Hence, the cube of 889 is 702,776,969.
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 889 into two parts. Let a = 880 and b = 9, so a + b = 889 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 880³ 3a²b = 3 × 880² × 9 3ab² = 3 × 880 × 9² b³ = 9³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (880 + 9)³ = 880³ + 3 × 880² × 9 + 3 × 880 × 9² + 9³ 889³ = 681,472,000 + 209,088 + 21,384 + 729 889³ = 702,776,969 Step 5: Hence, the cube of 889 is 702,776,969.
To find the cube of 889 using a calculator, input the number 889 and use the cube function (if available) or multiply 889 × 889 × 889. This operation calculates the value of 889³, resulting in 702,776,969. 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 8 and 9 Step 3: If the calculator has a cube function, press it to calculate 889³. Step 4: If there is no cube function on the calculator, simply multiply 889 three times manually. Step 5: The calculator will display 702,776,969.
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 889?
The cube of 889 is 702,776,969 and the cube root of 889 is approximately 9.646.
First, let’s find the cube of 889. 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 889³ = 702,776,969. Next, we must find the cube root of 889. 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 ∛889 ≈ 9.646. Hence the cube of 889 is 702,776,969 and the cube root of 889 is approximately 9.646.
If the side length of a cube is 889 cm, what is the volume?
The volume is 702,776,969 cm³.
Use the volume formula for a cube V = Side³. Substitute 889 for the side length: V = 889³ = 702,776,969 cm³.
How much larger is 889³ than 799³?
889³ – 799³ = 186,230,169.
First find the cube of 889, which is 702,776,969. Next, find the cube of 799, which is 516,546,800. Now, find the difference between them using the subtraction method. 702,776,969 – 516,546,800 = 186,230,169. Therefore, 889³ is 186,230,169 larger than 799³.
If a cube with a side length of 889 cm is compared to a cube with a side length of 9 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 889 cm is 702,776,969 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 889 means multiplying 889 by itself three times: 889 × 889 = 790,321, and 790,321 × 889 = 702,776,969. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 702,776,969 cm³.
Estimate the cube of 888.5 using the cube of 889.
The cube of 888.5 is approximately 702,776,969.
First, identify the cube of 889. The cube of 889 is 889³ = 702,776,969. Since 888.5 is only a tiny bit less than 889, the cube of 888.5 will be almost the same as the cube of 889. The cube of 888.5 is approximately 702,776,969 because the difference between 888.5 and 889 is very small. So, we can approximate the value as 702,776,969.
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 to 8. Volume of a Cube: The amount of space occupied by a cube, calculated as the cube of the side length. Perfect Cube: A number that can be expressed as 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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