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 136.
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 136 can be written as 136³, which is the exponential form.
Or it can also be written in arithmetic form as 136 × 136 × 136.
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. 136³ = 136 × 136 × 136
Step 2: You get 2,519,616 as the answer. Hence, the cube of 136 is 2,519,616.
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 136 into two parts. Let a = 130 and b = 6, so a + b = 136
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 130³ 3a²b = 3 × 130² × 6 3ab² = 3 × 130 × 6² b³ = 6³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (130 + 6)³ = 130³ + 3 × 130² × 6 + 3 × 130 × 6² + 6³ 136³ = 2,197,000 + 304,200 + 14,040 + 216 136³ = 2,519,456
Step 5: Hence, the cube of 136 is 2,519,456.
To find the cube of 136 using a calculator, input the number 136 and use the cube function (if available) or multiply 136 × 136 × 136. This operation calculates the value of 136³, resulting in 2,519,616. 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 3 and 6
Step 3: If the calculator has a cube function, press it to calculate 136³.
Step 4: If there is no cube function on the calculator, simply multiply 136 three times manually.
Step 5: The calculator will display 2,519,616.
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 136?
The cube of 136 is 2,519,616 and the cube root of 136 is approximately 5.153.
First, let’s find the cube of 136.
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 136³ = 2,519,616
Next, we must find the cube root of 136
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 ∛136 ≈ 5.153
Hence, the cube of 136 is 2,519,616 and the cube root of 136 is approximately 5.153.
If the side length of the cube is 136 cm, what is the volume?
The volume is 2,519,616 cm³.
Use the volume formula for a cube V = Side³.
Substitute 136 for the side length: V = 136³ = 2,519,616 cm³.
How much larger is 136³ than 126³?
136³ – 126³ = 227,232.
First find the cube of 136³, that is 2,519,616
Next, find the cube of 126³, which is 2,292,384
Now, find the difference between them using the subtraction method. 2,519,616 – 2,292,384 = 227,232
Therefore, 136³ is 227,232 larger than 126³.
If a cube with a side length of 136 cm is compared to a cube with a side length of 13 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 136 cm is 2,519,616 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 136 means multiplying 136 by itself three times: 136 × 136 = 18,496, and then 18,496 × 136 = 2,519,616.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 2,519,616 cm³.
Estimate the cube 135.9 using the cube 136.
The cube of 135.9 is approximately 2,519,616.
First, identify the cube of 136,
The cube of 136 is 136³ = 2,519,616.
Since 135.9 is only a tiny bit less than 136, the cube of 135.9 will be almost the same as the cube of 136.
The cube of 135.9 is approximately 2,519,616 because the difference between 135.9 and 136 is very small.
So, we can approximate the value as 2,519,616.
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.