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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 18.
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 18 can be written as 18³, which is the exponential form. Or it can also be written in arithmetic form as, 18 × 18 × 18.
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. 18³ = 18 × 18 × 18
Step 2: You get 5,832 as the answer. Hence, the cube of 18 is 5,832.
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 18 into two parts, as and . Let a = 10 and b = 8, so a + b = 18
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 10³
3a²b = 3 × 10² × 8
3ab² = 3 × 10 × 8²
b³ = 8³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(10 + 8)³= 10³ + 3 × 10² × 8 + 3 × 10 × 8² + 8³
18³ = 1,000 + 2,400 + 1,920 + 512
18³ = 5,832
Step 5: Hence, the cube of 18 is 5,832.
To find the cube of 18 using a calculator, input the number 18 and use the cube function (if available) or multiply 18 × 18 × 18. This operation calculates the value of 18³, resulting in 5,832. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 1 followed by 8
Step 3: If the calculator has a cube function, press it to calculate 18³.
Step 4: If there is no cube function on the calculator, simply multiply 18 three times manually.
Step 5: The calculator will display 5,832.
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 18?
The cube of 18 is 5,832 and the cube root of 18 is approximately 2.6207.
First, let’s find the cube of 18.
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 18³= 5,832
Next, we must find the cube root of 18 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 ∛18 ≈ 2.6207
Hence the cube of 18 is 5,832 and the cube root of 18 is approximately 2.6207.
If the side length of the cube is 18 cm, what is the volume?
The volume is 5,832 cm³.
Use the volume formula for a cube V = Side³.
Substitute 18 for the side length: V = 18³ = 5,832 cm³.
How much larger is 18³ than 15³?
18³ – 15³ = 3,057.
First, find the cube of 18³, that is 5,832
Next, find the cube of 15³, which is 3,375
Now, find the difference between them using the subtraction method.
5,832 – 3,375 = 3,057
Therefore, 18³ is 3,057 larger than 15³.
If a cube with a side length of 18 cm is compared to a cube with a side length of 6 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 18 cm is 5,832 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 18 means multiplying 18 by itself three times: 18 × 18 = 324, and then 324 × 18 = 5,832.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 5,832 cm³.
Estimate the cube of 17.9 using the cube of 18.
The cube of 17.9 is approximately 5,832.
First, identify the cube of 18, The cube of 18 is 18³ = 5,832.
Since 17.9 is only a tiny bit less than 18, the cube of 17.9 will be almost the same as the cube of 18.
The cube of 17.9 is approximately 5,832 because the difference between 17.9 and 18 is very small.
So, we can approximate the value as 5,832.
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.