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 379.
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 379 can be written as 379³, which is the exponential form.
Or it can also be written in arithmetic form as, 379 × 379 × 379.
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. 379³ = 379 × 379 × 379
Step 2: Calculate to get 54,472,939 as the answer. Hence, the cube of 379 is 54,472,939.
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 379 into two parts, as 300 and 79. Let a = 300 and b = 79, so a + b = 379
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 300³ 3a²b = 3 × 300² × 79 3ab² = 3 × 300 × 79² b³ = 79³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (300 + 79)³ = 300³ + 3 × 300² × 79 + 3 × 300 × 79² + 79³ 379³ = 27,000,000 + 5,649,000 + 5,604,300 + 493,039 379³ = 54,472,939
Step 5: Hence, the cube of 379 is 54,472,939.
To find the cube of 379 using a calculator, input the number 379 and use the cube function (if available) or multiply 379 × 379 × 379. This operation calculates the value of 379³, resulting in 54,472,939. 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 7 and 9
Step 3: If the calculator has a cube function, press it to calculate 379³.
Step 4: If there is no cube function on the calculator, simply multiply 379 three times manually.
Step 5: The calculator will display 54,472,939.
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 379?
The cube of 379 is 54,472,939 and the cube root of 379 is approximately 7.215.
First, let’s find the cube of 379.
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 379³ = 54,472,939
Next, we must find the cube root of 379
We know that 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√379 ≈ 7.215
Hence the cube of 379 is 54,472,939 and the cube root of 379 is approximately 7.215.
If the side length of the cube is 379 cm, what is the volume?
The volume is 54,472,939 cm³.
Use the volume formula for a cube V = Side³.
Substitute 379 for the side length: V = 379³ = 54,472,939 cm³.
How much larger is 379³ than 300³?
379³ – 300³ = 27,472,939.
First find the cube of 379, that is 54,472,939
Next, find the cube of 300, which is 27,000,000
Now, find the difference between them using the subtraction method. 54,472,939 – 27,000,000 = 27,472,939
Therefore, 379³ is 27,472,939 larger than 300³.
If a cube with a side length of 379 cm is compared to a cube with a side length of 79 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 379 cm is 54,472,939 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 379 means multiplying 379 by itself three times: 379 × 379 = 143,641, and then 143,641 × 379 = 54,472,939.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 54,472,939 cm³.
Estimate the cube of 378.9 using the cube of 379.
The cube of 378.9 is approximately 54,472,939.
First, identify the cube of 379,
The cube of 379 is 379³ = 54,472,939.
Since 378.9 is only a tiny bit less than 379, the cube of 378.9 will be almost the same as the cube of 379.
The cube of 378.9 is approximately 54,472,939 because the difference between 378.9 and 379 is very small.
So, we can approximate the value as 54,472,939.
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.