Last updated on June 2nd, 2025
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 718.
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 718 can be written as 718³, which is the exponential form. Or it can also be written in arithmetic form as, 718 × 718 × 718.
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. 718³ = 718 × 718 × 718
Step 2: You get 370,717,432 as the answer. Hence, the cube of 718 is 370,717,432.
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 718 into two parts, as 700 and 18. Let a = 700 and b = 18, so a + b = 718
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 700³ 3a²b = 3 × 700² × 18 3ab² = 3 × 700 × 18² b³ = 18³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 18)³ = 700³ + 3 × 700² × 18 + 3 × 700 × 18² + 18³
718³ = 343,000,000 + 26,460,000 + 226,800 + 5,832
718³ = 370,717,432
Step 5: Hence, the cube of 718 is 370,717,432.
To find the cube of 718 using a calculator, input the number 718 and use the cube function (if available) or multiply 718 × 718 × 718. This operation calculates the value of 718³, resulting in 370,717,432. 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 1 and 8
Step 3: If the calculator has a cube function, press it to calculate 718³.
Step 4: If there is no cube function on the calculator, simply multiply 718 three times manually.
Step 5: The calculator will display 370,717,432.
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 718?
The cube of 718 is 370,717,432 and the cube root of 718 is approximately 8.942.
First, let’s find the cube of 718.
We know that 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 718³ = 370,717,432
Next, we must find the cube root of 718 We know that cube root of a number ‘x’, 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√718 ≈ 8.942
Hence the cube of 718 is 370,717,432 and the cube root of 718 is approximately 8.942.
If the side length of the cube is 718 cm, what is the volume?
The volume is 370,717,432 cm³.
Use the volume formula for a cube V = Side³.
Substitute 718 for the side length: V = 718³ = 370,717,432 cm³.
How much larger is 718³ than 700³?
718³ – 700³ = 27,717,432.
First find the cube of 718³, that is 370,717,432
Next, find the cube of 700³, which is 343,000,000
Now, find the difference between them using the subtraction method. 370,717,432 – 343,000,000 = 27,717,432
Therefore, 718³ is 27,717,432 larger than 700³.
If a cube with a side length of 718 cm is compared to a cube with a side length of 18 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 718 cm is 370,717,432 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 718 means multiplying 718 by itself three times: 718 × 718 = 515,524, and then 515,524 × 718 = 370,717,432.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 370,717,432 cm³.
Estimate the cube of 717.9 using the cube of 718.
The cube of 717.9 is approximately 370,717,432.
First, identify the cube of 718, The cube of 718 is 718³ = 370,717,432.
Since 717.9 is only a tiny bit less than 718, the cube of 717.9 will be almost the same as the cube of 718.
The cube of 717.9 is approximately 370,717,432 because the difference between 717.9 and 718 is very small.
So, we can approximate the value as 370,717,432.
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.