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 110.
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 110 can be written as 1103, which is the exponential form.
Or it can also be written in arithmetic form as, 110 × 110 × 110.
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. 1103 = 110 × 110 × 110
Step 2: You get 1,331,000 as the answer. Hence, the cube of 110 is 1,331,000.
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 110 into two parts. Let a = 100 and b = 10, so a + b = 110
Step 2: Now, apply the formula (a + b)3 = a3 + 3a2b + 3ab2 + b3
Step 3: Calculate each term a3 = 1003 3a2b = 3 × 1002 × 10 3ab2 = 3 × 100 × 102 b3 = 103
Step 4: Add all the terms together: (a + b)3 = a3 + 3a2b + 3ab2 + b3 (100 + 10)3 = 1003 + 3 × 1002 × 10 + 3 × 100 × 102 + 103 1103 = 1,000,000 + 300,000 + 30,000 + 1,000 1103 = 1,331,000
Step 5: Hence, the cube of 110 is 1,331,000.
To find the cube of 110 using a calculator, input the number 110 and use the cube function (if available) or multiply 110 × 110 × 110. This operation calculates the value of \(110^3\), resulting in 1,331,000. 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 1 and 0
Step 3: If the calculator has a cube function, press it to calculate 1103.
Step 4: If there is no cube function on the calculator, simply multiply 110 three times manually.
Step 5: The calculator will display 1,331,000.
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 110?
The cube of 110 is 1,331,000, and the cube root of 110 is approximately 4.791.
First, let’s find the cube of 110.
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 1103 = 1,331,000 Next, we must find the cube root of 110
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 ∛110 ≈ 4.791
Hence, the cube of 110 is 1,331,000, and the cube root of 110 is approximately 4.791.
If the side length of the cube is 110 cm, what is the volume?
The volume is 1,331,000 cm³.
Use the volume formula for a cube V = Side3.
Substitute 110 for the side length: V = 1103 = 1,331,000cm3.
How much larger is \(110^3\) than \(100^3\)?
\(110^3 – 100^3 = 331,000\).
First, find the cube of 1103, that is 1,331,000
Next, find the cube of 1003, which is 1,000,000
Now, find the difference between them using the subtraction method. 1,331,000 – 1,000,000 = 331,000
Therefore, the 1103 is 331,000 larger than 1003.
If a cube with a side length of 110 cm is compared to a cube with a side length of 10 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 110 cm is 1,331,000 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 110 means multiplying 110 by itself three times: 110 × 110 = 12,100, and then 12,100 × 110 = 1,331,000.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 1,331,000 cm³.
Estimate the cube 109.9 using the cube 110.
The cube of 109.9 is approximately 1,331,000.
First, identify the cube of 110,
The cube of 110 is 1103 = 1,331,000.
Since 109.9 is only a tiny bit less than 110, the cube of 109.9 will be almost the same as the cube of 110.
The cube of 109.9 is approximately 1,331,000 because the difference between 109.9 and 110 is very small.
So, we can approximate the value as 1,331,000.
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.