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 the cube of 146.
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 146 can be written as 146³, which is the exponential form.
Or it can also be written in arithmetic form as, 146 × 146 × 146.
In order to check whether a number is a cube number or not, we can use the following three methods, such as 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. 146³ = 146 × 146 × 146
Step 2: You get 3,115,336 as the answer. Hence, the cube of 146 is 3,115,336.
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 146 into two parts, as 140 and 6. Let a = 140 and b = 6, so a + b = 146
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term: a³ = 140³ 3a²b = 3 × 140² × 6 3ab² = 3 × 140 × 6² b³ = 6³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (140 + 6)³ = 140³ + 3 × 140² × 6 + 3 × 140 × 6² + 6³ 146³ = 2,744,000 + 352,800 + 15,120 + 216
Step 5: Hence, the cube of 146 is 3,115,136.
To find the cube of 146 using a calculator, input the number 146 and use the cube function (if available) or multiply 146 × 146 × 146. This operation calculates the value of 146³, resulting in 3,115,336. 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 then 6.
Step 3: If the calculator has a cube function, press it to calculate 146³.
Step 4: If there is no cube function on the calculator, simply multiply 146 three times manually.
Step 5: The calculator will display 3,115,336.
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 146?
The cube of 146 is 3,115,336, and the cube root of 146 is approximately 5.288.
First, let’s find the cube of 146.
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 146³ = 3,115,336.
Next, we must find the cube root of 146.
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 ∛146 ≈ 5.288. Hence, the cube of 146 is 3,115,336, and the cube root of 146 is approximately 5.288.
If the side length of the cube is 146 cm, what is the volume?
The volume is 3,115,336 cm³.
Use the volume formula for a cube V = Side³.
Substitute 146 for the side length: V = 146³ = 3,115,336 cm³.
How much larger is 146³ than 136³?
146³ – 136³ = 1,125,456.
First, find the cube of 146³, which is 3,115,336.
Next, find the cube of 136³, which is 1,989,880.
Now, find the difference between them using the subtraction method. 3,115,336 – 1,989,880 = 1,125,456.
Therefore, 146³ is 1,125,456 larger than 136³.
If a cube with a side length of 146 cm is compared to a cube with a side length of 56 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 146 cm is 3,115,336 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 146 means multiplying 146 by itself three times.
The volume of the cube is 3,115,336 cm³.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Estimate the cube 145.9 using the cube 146.
The cube of 145.9 is approximately 3,115,336.
First, identify the cube of 146.
The cube of 146 is 146³ = 3,115,336.
Since 145.9 is only a tiny bit less than 146, the cube of 145.9 will be almost the same as the cube of 146.
The cube of 145.9 is approximately 3,115,336 because the difference between 145.9 and 146 is very small.
So, we can approximate the value as 3,115,336.
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.