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 cubes of 789.
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 789 can be written as 789^3, which is the exponential form. Or it can also be written in arithmetic form as, 789 × 789 × 789.
In order to check whether a number is a cube number or not, we can use the following three methods, such as multiplication method, a factor formula (a^3), 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. 789^3 = 789 × 789 × 789 Step 2: You get 491,029,389 as the answer. Hence, the cube of 789 is 491,029,389.
The formula (a + b)^3 is a binomial formula for finding the cube of a number. The formula is expanded as a^3 + 3a^2b + 3ab^2 + b^3. Step 1: Split the number 789 into two parts. Let a = 700 and b = 89, so a + b = 789 Step 2: Now, apply the formula (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3 Step 3: Calculate each term a^3 = 700^3 3a^2b = 3 × 700^2 × 89 3ab^2 = 3 × 700 × 89^2 b^3 = 89^3 Step 4: Add all the terms together: (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3 (700 + 89)^3 = 700^3 + 3 × 700^2 × 89 + 3 × 700 × 89^2 + 89^3 Step 5: Hence, the cube of 789 is 491,029,389.
To find the cube of 789 using a calculator, input the number 789 and use the cube function (if available) or multiply 789 × 789 × 789. This operation calculates the value of 789^3, resulting in 491,029,389. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 7 followed by 8 and 9 Step 3: If the calculator has a cube function, press it to calculate 789^3. Step 4: If there is no cube function on the calculator, simply multiply 789 three times manually. Step 5: The calculator will display 491,029,389.
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 789?
The cube of 789 is 491,029,389 and the cube root of 789 is approximately 9.239.
First, let’s find the cube of 789. We know that the cube of a number, such that x^3 = y Where x is the given number, and y is the cubed value of that number So, we get 789^3 = 491,029,389 Next, we must find the cube root of 789 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 ∛789 = 9.239 Hence the cube of 789 is 491,029,389 and the cube root of 789 is approximately 9.239.
If the side length of a cube is 789 cm, what is the volume?
The volume is 491,029,389 cm^3.
Use the volume formula for a cube V = Side^3. Substitute 789 for the side length: V = 789^3 = 491,029,389 cm^3.
How much larger is 789^3 than 500^3?
789^3 – 500^3 = 365,029,389.
First find the cube of 789, which is 491,029,389 Next, find the cube of 500, which is 125,000,000 Now, find the difference between them using the subtraction method. 491,029,389 – 125,000,000 = 365,029,389 Therefore, 789^3 is 365,029,389 larger than 500^3.
If a cube with a side length of 789 cm is compared to a cube with a side length of 200 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 789 cm is 491,029,389 cm^3
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 789 means multiplying 789 by itself three times: 789 × 789 = 622,521, and then 622,521 × 789 = 491,029,389. The unit of volume is cubic centimeters (cm^3), because we are calculating the space inside the cube. Therefore, the volume of the cube is 491,029,389 cm^3.
Estimate the cube of 788 using the cube of 789.
The cube of 788 is slightly less than 491,029,389.
First, identify the cube of 789, The cube of 789 is 789^3 = 491,029,389. Since 788 is only a tiny bit less than 789, the cube of 788 will be slightly less than the cube of 789. The cube of 788 is slightly less than 491,029,389 because the difference between 788 and 789 is very small. So, we can estimate the value as slightly less than 491,029,389.
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, 2^3 represents 2 × 2 × 2 equals 8. Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number. It is the inverse operation of cubing a number. Volume: In geometry, volume is the quantity of three-dimensional space enclosed by a closed surface, expressed in cubic units.
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.