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 when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 144.
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 multiplying a negative number by itself three times results in a negative number.
The cube of 144 can be written as 144³, which is the exponential form.
Or it can also be written in arithmetic form as, 144 × 144 × 144.
To determine whether a number is a cube number, we can use the following three methods: multiplication method, a factor formula (a³), or by using a calculator. These three methods will help kids to cube 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. 144³ = 144 × 144 × 144
Step 2: You get 2,985,984 as the answer. Hence, the cube of 144 is 2,985,984.
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 144 into two parts. Let a = 140 and b = 4, so a + b = 144
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 140³ 3a²b = 3 × 140² × 4 3ab² = 3 × 140 × 4² b³ = 4³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (140 + 4)³ = 140³ + 3 × 140² × 4 + 3 × 140 × 4² + 4³ 144³ = 2,744,000 + 235,200 + 6,720 + 64 144³ = 2,985,984
Step 5: Hence, the cube of 144 is 2,985,984.
To find the cube of 144 using a calculator, input the number 144 and use the cube function (if available) or multiply 144 × 144 × 144. This operation calculates the value of 144³, resulting in 2,985,984. 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 4 and 4
Step 3: If the calculator has a cube function, press it to calculate 144³.
Step 4: If there is no cube function on the calculator, simply multiply 144 three times manually.
Step 5: The calculator will display 2,985,984.
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 144?
The cube of 144 is 2,985,984 and the cube root of 144 is approximately 5.241.
First, let’s find the cube of 144.
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 144³ = 2,985,984
Next, we must find the cube root of 144.
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 ∛144 ≈ 5.241
Hence, the cube of 144 is 2,985,984 and the cube root of 144 is approximately 5.241.
If the side length of the cube is 144 cm, what is the volume?
The volume is 2,985,984 cm³.
Use the volume formula for a cube V = Side³.
Substitute 144 for the side length: V = 144³ = 2,985,984 cm³.
How much larger is 144³ than 140³?
144³ – 140³ = 241,984.
First, find the cube of 144³, that is 2,985,984
Next, find the cube of 140³, which is 2,744,000
Now, find the difference between them using the subtraction method. 2,985,984 – 2,744,000 = 241,984
Therefore, 144³ is 241,984 larger than 140³.
If a cube with a side length of 144 cm is compared to a cube with a side length of 12 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 144 cm is 2,985,984 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 144 means multiplying 144 by itself three times: 144 × 144 = 20,736, and then 20,736 × 144 = 2,985,984.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 2,985,984 cm³.
Estimate the cube of 143.9 using the cube of 144.
The cube of 143.9 is approximately 2,985,984.
First, identify the cube of 144:
The cube of 144 is 144³ = 2,985,984.
Since 143.9 is only a tiny bit less than 144, the cube of 143.9 will be almost the same as the cube of 144.
The cube of 143.9 is approximately 2,985,984 because the difference between 143.9 and 144 is very small.
So, we can approximate the value as 2,985,984.
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.