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 133.
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 133 can be written as 133³, which is the exponential form.
Or it can also be written in arithmetic form as, 133 × 133 × 133.
In order to check whether a number is a cube number or not, 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 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. 133³ = 133 × 133 × 133
Step 2: You get 2,352,637 as the answer. Hence, the cube of 133 is 2,352,637.
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 133 into two parts, as 130 and 3. Let a = 130 and b = 3, so a + b = 133
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 130³ 3a²b = 3 × 130² × 3 3ab² = 3 × 130 × 3² b³ = 3³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (130 + 3)³ = 130³ + 3 × 130² × 3 + 3 × 130 × 3² + 3³ 133³ = 2,197,000 + 152,100 + 3,510 + 27 133³ = 2,352,637
Step 5: Hence, the cube of 133 is 2,352,637.
To find the cube of 133 using a calculator, input the number 133 and use the cube function (if available) or multiply 133 × 133 × 133. This operation calculates the value of 133³, resulting in 2,352,637. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 1, then 3, then 3
Step 3: If the calculator has a cube function, press it to calculate 133³.
Step 4: If there is no cube function on the calculator, simply multiply 133 three times manually.
Step 5: The calculator will display 2,352,637.
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 133?
The cube of 133 is 2,352,637 and the cube root of 133 is approximately 5.103.
First, let’s find the cube of 133.
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 133³ = 2,352,637
Next, we must find the cube root of 133
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 ∛133 ≈ 5.103
Hence the cube of 133 is 2,352,637 and the cube root of 133 is approximately 5.103.
If the side length of the cube is 133 cm, what is the volume?
The volume is 2,352,637 cm³.
Use the volume formula for a cube V = Side³.
Substitute 133 for the side length: V = 133³ = 2,352,637 cm³.
How much larger is 133³ than 100³?
133³ – 100³ = 1,352,637.
First, find the cube of 133³, which is 2,352,637.
Next, find the cube of 100³, which is 1,000,000.
Now, find the difference between them using the subtraction method. 2,352,637 – 1,000,000 = 1,352,637
Therefore, 133³ is 1,352,637 larger than 100³.
If a cube with a side length of 133 cm is compared to a cube with a side length of 10 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 133 cm is 2,352,637 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 133 means multiplying 133 by itself three times: 133 × 133 = 17,689, and then 17,689 × 133 = 2,352,637.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 2,352,637 cm³.
Estimate the cube of 132.9 using the cube of 133.
The cube of 132.9 is approximately 2,352,637.
First, identify the cube of 133,
The cube of 133 is 133³ = 2,352,637.
Since 132.9 is only a tiny bit less than 133, the cube of 132.9 will be almost the same as the cube of 133.
The cube of 132.9 is approximately 2,352,637 because the difference between 132.9 and 133 is very small.
So, we can approximate the value as 2,352,637.
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.