Last updated on May 30th, 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 618.
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 multiplied by itself three times results in a negative number.
The cube of 618 can be written as 618³, which is the exponential form. Or it can also be written in arithmetic form as 618 × 618 × 618.
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 in cubing 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. 618³ = 618 × 618 × 618
Step 2: You get 235,263,432 as the answer. Hence, the cube of 618 is 235,263,432.
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 618 into two parts, as 600 and 18. Let a = 600 and b = 18, so a + b = 618.
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³.
Step 3: Calculate each term:
a³ = 600³
3a²b = 3 × 600² × 18
3ab² = 3 × 600 × 18²
b³ = 18³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(600 + 18)³ = 600³ + 3 × 600² × 18 + 3 × 600 × 18² + 18³
618³ = 216,000,000 + 19,440,000 + 194,400 + 5,832
618³ = 235,263,432
Step 5: Hence, the cube of 618 is 235,263,432.
To find the cube of 618 using a calculator, input the number 618 and use the cube function (if available) or multiply 618 × 618 × 618. This operation calculates the value of 618³, resulting in 235,263,432. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 6 followed by 1 and 8.
Step 3: If the calculator has a cube function, press it to calculate 618³.
Step 4: If there is no cube function on the calculator, simply multiply 618 three times manually.
Step 5: The calculator will display 235,263,432.
There are some typical errors that might occur during the process of cubing a number. Let us take a look at five of the major mistakes that might happen:
What is the cube and cube root of 618?
The cube of 618 is 235,263,432 and the cube root of 618 is approximately 8.544.
First, let’s find the cube of 618.
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 618³ = 235,263,432
Next, we must find the cube root of 618 We know that the 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√618 ≈ 8.544
Hence, the cube of 618 is 235,263,432 and the cube root of 618 is approximately 8.544.
If the side length of the cube is 618 cm, what is the volume?
The volume is 235,263,432 cm³.
Use the volume formula for a cube V = Side³.
Substitute 618 for the side length: V = 618³ = 235,263,432 cm³.
How much larger is 618³ than 600³?
618³ – 600³ = 19,263,432.
First find the cube of 618³, that is 235,263,432
Next, find the cube of 600³, which is 216,000,000
Now, find the difference between them using the subtraction method.
235,263,432 – 216,000,000 = 19,263,432
Therefore, 618³ is 19,263,432 larger than 600³.
If a cube with a side length of 618 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 618 cm is 235,263,432 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 618 means multiplying 618 by itself three times: 618 × 618 = 381,924, and then 381,924 × 618 = 235,263,432.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 235,263,432 cm³.
Estimate the cube of 617.9 using the cube of 618.
The cube of 617.9 is approximately 235,263,432.
First, identify the cube of 618, The cube of 618 is 618³ = 235,263,432.
Since 617.9 is only a tiny bit less than 618, the cube of 617.9 will be almost the same as the cube of 618.
The cube of 617.9 is approximately 235,263,432 because the difference between 617.9 and 618 is very small.
So, we can approximate the value as 235,263,432.
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.