Last updated on May 30th, 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 237.
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 237 can be written as 237³, which is the exponential form.
Or it can also be written in arithmetic form as, 237 × 237 × 237.
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. 237³ = 237 × 237 × 237
Step 2: You get 13,307,053 as the answer.
Hence, the cube of 237 is 13,307,053.
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 237 into two parts, as 200 and 37. Let a = 200 and b = 37, so a + b = 237
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 200³ 3a²b = 3 × 200² × 37 3ab² = 3 × 200 × 37² b³ = 37³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (200 + 37)³ = 200³ + 3 × 200² × 37 + 3 × 200 × 37² + 37³ 237³ = 8,000,000 + 4,440,000 + 820,200 + 50,653 237³ = 13,307,053
Step 5: Hence, the cube of 237 is 13,307,053.
To find the cube of 237 using a calculator, input the number 237 and use the cube function (if available) or multiply 237 × 237 × 237. This operation calculates the value of 237³, resulting in 13,307,053. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 2, followed by 3, then 7
Step 3: If the calculator has a cube function, press it to calculate 237³.
Step 4: If there is no cube function on the calculator, simply multiply 237 three times manually.
Step 5: The calculator will display 13,307,053.
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 237?
The cube of 237 is 13,307,053 and the cube root of 237 is approximately 6.204.
First, let’s find the cube of 237.
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 237³ = 13,307,053 Next, we must find the cube root of 237
We know that the cube root of a number ‘x’, such that ³√x = y
Where ‘x’ is the given number, and y is the cube root value of the number
So, we get ³√237 ≈ 6.204
Hence the cube of 237 is 13,307,053 and the cube root of 237 is approximately 6.204.
If the side length of the cube is 237 cm, what is the volume?
The volume is 13,307,053 cm³.
Use the volume formula for a cube V = Side³.
Substitute 237 for the side length: V = 237³ = 13,307,053 cm³.
How much larger is 237³ than 200³?
237³ – 200³ = 5,307,053.
First find the cube of 237³, that is 13,307,053
Next, find the cube of 200³, which is 8,000,000
Now, find the difference between them using the subtraction method. 13,307,053 – 8,000,000 = 5,307,053
Therefore, 237³ is 5,307,053 larger than 200³.
If a cube with a side length of 237 cm is compared to a cube with a side length of 37 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 237 cm is 13,307,053 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 237 means multiplying 237 by itself three times: 237 × 237 = 56,169, and then 56,169 × 237 = 13,307,053.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 13,307,053 cm³.
Estimate the cube 236.9 using the cube 237.
The cube of 236.9 is approximately 13,307,053.
First, identify the cube of 237,
The cube of 237 is 237³ = 13,307,053.
Since 236.9 is only a tiny bit less than 237, the cube of 236.9 will be almost the same as the cube of 237.
The cube of 236.9 is approximately 13,307,053 because the difference between 236.9 and 237 is very small.
So, we can approximate the value as 13,307,053.
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.