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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 147.
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 147 can be written as 147³, which is the exponential form.
Or it can also be written in arithmetic form as, 147 × 147 × 147.
In order to check whether a number is a cube number or not, we can use the following three methods: the 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. 147³ = 147 × 147 × 147
Step 2: You get 3,177,147 as the answer. Hence, the cube of 147 is 3,177,147.
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 147 into two parts, such as 140 and 7. Let a = 140 and b = 7, so a + b = 147
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 140³ 3a²b = 3 × 140² × 7 3ab² = 3 × 140 × 7² b³ = 7³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (140 + 7)³ = 140³ + 3 × 140² × 7 + 3 × 140 × 7² + 7³ 147³ = 2,744,000 + 411,600 + 20,580 + 343 147³ = 3,177,523
Step 5: Hence, the cube of 147 is 3,177,523.
To find the cube of 147 using a calculator, input the number 147 and use the cube function (if available) or multiply 147 × 147 × 147. This operation calculates the value of 147³, resulting in 3,177,523. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Enter 1 followed by 4 and 7.
Step 3: If the calculator has a cube function, press it to calculate 147³.
Step 4: If there is no cube function on the calculator, simply multiply 147 three times manually.
Step 5: The calculator will display 3,177,523.
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 147?
The cube of 147 is 3,177,523 and the cube root of 147 is approximately 5.289.
First, let’s find the cube of 147.
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 147³ = 3,177,523.
Next, we must find the cube root of 147.
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 ∛147 ≈ 5.289. Hence, the cube of 147 is 3,177,523 and the cube root of 147 is approximately 5.289.
If the side length of the cube is 147 cm, what is the volume?
The volume is 3,177,523 cm³.
Use the volume formula for a cube V = Side³.
Substitute 147 for the side length: V = 147³ = 3,177,523 cm³.
How much larger is 147³ than 140³?
147³ – 140³ = 433,523.
First find the cube of 147, which is 3,177,523.
Next, find the cube of 140, which is 2,744,000.
Now, find the difference between them using the subtraction method. 3,177,523 – 2,744,000 = 433,523.
Therefore, 147³ is 433,523 larger than 140³.
If a cube with a side length of 147 cm is compared to a cube with a side length of 70 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 147 cm is 3,177,523 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 147 means multiplying 147 by itself three times: 147 × 147 × 147 = 3,177,523.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 3,177,523 cm³.
Estimate the cube of 146.9 using the cube of 147.
The cube of 146.9 is approximately 3,177,523.
First, identify the cube of 147,
The cube of 147 is 147³ = 3,177,523.
Since 146.9 is only a tiny bit less than 147, the cube of 146.9 will be almost the same as the cube of 147.
The cube of 146.9 is approximately 3,177,523 because the difference between 146.9 and 147 is very small.
So, we can approximate the value as 3,177,523.
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.