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 cubes of 135.
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 135 can be written as 135³, which is the exponential form.
Or it can also be written in arithmetic form as, 135 × 135 × 135.
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. 135³ = 135 × 135 × 135
Step 2: You get 2,460,375 as the answer. Hence, the cube of 135 is 2,460,375.
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 135 into two parts, as and . Let a = 130 and b = 5, so a + b = 135
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 130³ 3a²b = 3 × 130² × 5 3ab² = 3 × 130 × 5² b³ = 5³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (130 + 5)³ = 130³ + 3 × 130² × 5 + 3 × 130 × 5² + 5³ 135³ = 2,197,000 + 253,500 + 9,750 + 125 135³ = 2,460,375
Step 5: Hence, the cube of 135 is 2,460,375.
To find the cube of 135 using a calculator, input the number 135 and use the cube function (if available) or multiply 135 × 135 × 135. This operation calculates the value of 135³, resulting in 2,460,375. 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 5
Step 3: If the calculator has a cube function, press it to calculate 135³.
Step 4: If there is no cube function on the calculator, simply multiply 135 three times manually.
Step 5: The calculator will display 2,460,375.
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 135?
The cube of 135 is 2,460,375 and the cube root of 135 is approximately 5.13.
First, let’s find the cube of 135.
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 135³ = 2,460,375
Next, we must find the cube root of 135
We know that 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 ∛135 ≈ 5.13
Hence the cube of 135 is 2,460,375 and the cube root of 135 is approximately 5.13.
If the side length of the cube is 135 cm, what is the volume?
The volume is 2,460,375 cm³.
Use the volume formula for a cube V = Side³.
Substitute 135 for the side length: V = 135³ = 2,460,375 cm³.
How much larger is 135³ than 125³?
135³ – 125³ = 852,500.
First, find the cube of 135³, which is 2,460,375
Next, find the cube of 125³, which is 1,607,875
Now, find the difference between them using the subtraction method. 2,460,375 – 1,607,875 = 852,500
Therefore, 135³ is 852,500 larger than 125³.
If a cube with a side length of 135 cm is compared to a cube with a side length of 15 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 135 cm is 2,460,375 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 135 means multiplying 135 by itself three times: 135 × 135 = 18,225, and then 18,225 × 135 = 2,460,375.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 2,460,375 cm³.
Estimate the cube 134.9 using the cube 135.
The cube of 134.9 is approximately 2,460,375.
First, identify the cube of 135,
The cube of 135 is 135³ = 2,460,375.
Since 134.9 is only a tiny bit less than 135, the cube of 134.9 will be almost the same as the cube of 135.
The cube of 134.9 is approximately 2,460,375 because the difference between 134.9 and 135 is very small.
So, we can approximate the value as 2,460,375.
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.