Last updated on May 29th, 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 363.
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 multiplying a negative number by itself three times results in a negative number.
The cube of 363 can be written as 363³, which is the exponential form.
Or it can also be written in arithmetic form as 363 × 363 × 363.
In order to check whether a number is a cube number or not, we can use the following three methods: the multiplication method, a factor formula (a³), or by using a calculator. These three methods will help in cubing 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. 363³ = 363 × 363 × 363
Step 2: You get 47,847,387 as the answer. Hence, the cube of 363 is 47,847,387.
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 363 into two parts. Let a = 360 and b = 3, so a + b = 363
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 360³ 3a²b = 3 × 360² × 3 3ab² = 3 × 360 × 3² b³ = 3³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (360 + 3)³ = 360³ + 3 × 360² × 3 + 3 × 360 × 3² + 3³ 363³ = 46,656,000 + 1,166,400 + 9,720 + 27 363³ = 47,847,387
Step 5: Hence, the cube of 363 is 47,847,387.
To find the cube of 363 using a calculator, input the number 363 and use the cube function (if available) or multiply 363 × 363 × 363. This operation calculates the value of 363³, resulting in 47,847,387. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 3 followed by 6 and 3
Step 3: If the calculator has a cube function, press it to calculate 363³.
Step 4: If there is no cube function on the calculator, simply multiply 363 three times manually.
Step 5: The calculator will display 47,847,387.
There are some typical errors that might occur during the process of cubing a number. Let us take a look at five of the major mistakes that might happen:
What is the cube and cube root of 363?
The cube of 363 is 47,847,387 and the cube root of 363 is approximately 7.139.
First, let’s find the cube of 363.
We know that the cube of a number is such that x³ = y
Where x is the given number, and y is the cubed value of that number
So, we get 363³ = 47,847,387
Next, we must find the cube root of 363
We know that the cube root of a number x is such that ∛x = y
Where x is the given number, and y is the cube root value of the number
So, we get ∛363 ≈ 7.139
Hence, the cube of 363 is 47,847,387 and the cube root of 363 is approximately 7.139.
If the side length of a cube is 363 cm, what is the volume?
The volume is 47,847,387 cm³.
Use the volume formula for a cube V = Side³.
Substitute 363 for the side length: V = 363³ = 47,847,387 cm³.
How much larger is 363³ than 360³?
363³ – 360³ = 1,191,387.
First, find the cube of 363, which is 47,847,387
Next, find the cube of 360, which is 46,656,000
Now, find the difference between them using the subtraction method. 47,847,387 – 46,656,000 = 1,191,387
Therefore, 363³ is 1,191,387 larger than 360³.
If a cube with a side length of 363 cm is compared to a cube with a side length of 3 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 363 cm is 47,847,387 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 363 means multiplying 363 by itself three times: 363 × 363 = 131,769, and then 131,769 × 363 = 47,847,387.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 47,847,387 cm³.
Estimate the cube of 362.9 using the cube of 363.
The cube of 362.9 is approximately 47,847,387.
First, identify the cube of 363,
The cube of 363 is 363³ = 47,847,387.
Since 362.9 is only a tiny bit less than 363, the cube of 362.9 will be almost the same as the cube of 363.
The cube of 362.9 is approximately 47,847,387 because the difference between 362.9 and 363 is very small.
So, we can approximate the value as 47,847,387.
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.