Last updated on June 3rd, 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 709.
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 709 can be written as 709³, which is the exponential form. Or it can also be written in arithmetic form as, 709 × 709 × 709.
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 (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.
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. 709³ = 709 × 709 × 709
Step 2: You get 356,112,029 as the answer. Hence, the cube of 709 is 356,112,029.
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 709 into two parts, as 700 and 9. Let a = 700 and b = 9, so a + b = 709
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 700³ 3a²b = 3 × 700² × 9 3ab² = 3 × 700 × 9² b³ = 9³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 9)³ = 700³ + 3 × 700² × 9 + 3 × 700 × 9² + 9³
709³ = 343,000,000 + 13,230,000 + 170,100 + 729
709³ = 356,112,029
Step 5: Hence, the cube of 709 is 356,112,029.
To find the cube of 709 using a calculator, input the number 709 and use the cube function (if available) or multiply 709 × 709 × 709. This operation calculates the value of 709³, resulting in 356,112,029. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Enter 709
Step 3: If the calculator has a cube function, press it to calculate 709³.
Step 4: If there is no cube function on the calculator, simply multiply 709 three times manually.
Step 5: The calculator will display 356,112,029.
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 709?
The cube of 709 is 356,112,029 and the cube root of 709 is approximately 8.894.
First, let’s find the cube of 709.
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 709³ = 356,112,029
Next, we must find the cube root of 709 We know that the cube root of a number ‘x’, is such that √x = y Where ‘x’ is the given number, and y is the cube root value of the number
So, we get ∛709 ≈ 8.894
Hence, the cube of 709 is 356,112,029 and the cube root of 709 is approximately 8.894.
If the side length of the cube is 709 cm, what is the volume?
The volume is 356,112,029 cm³.
Use the volume formula for a cube V = Side³.
Substitute 709 for the side length: V = 709³ = 356,112,029 cm³.
How much larger is 709³ than 600³?
709³ - 600³ = 188,712,029.
First find the cube of 709, which is 356,112,029
Next, find the cube of 600, which is 216,000,000
Now, find the difference between them using the subtraction method.
356,112,029 - 216,000,000 = 188,712,029
Therefore, 709³ is 188,712,029 larger than 600³.
If a cube with a side length of 709 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 709 cm is 356,112,029 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 709 means multiplying 709 by itself three times: 709 × 709 = 502,681, and then 502,681 × 709 = 356,112,029.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 356,112,029 cm³.
Estimate the cube 708.9 using the cube 709.
The cube of 708.9 is approximately 356,112,029.
First, identify the cube of 709, The cube of 709 is 709³ = 356,112,029.
Since 708.9 is only a tiny bit less than 709, the cube of 708.9 will be almost the same as the cube of 709.
The cube of 708.9 is approximately 356,112,029 because the difference between 708.9 and 709 is very small.
So, we can approximate the value as 356,112,029.
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.