Last updated on June 1st, 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 395.
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 multiplied by itself three times results in a negative number.
The cube of 395 can be written as 395³, which is the exponential form.
Or it can also be written in arithmetic form as, 395 × 395 × 395.
In order to check whether a number is a cube number or not, we can use the following three methods, such as the 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 or more 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. 395³ = 395 × 395 × 395
Step 2: You get 61,689,875 as the answer. Hence, the cube of 395 is 61,689,875.
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 395 into two parts, as 300 and 95. Let a = 300 and b = 95, so a + b = 395
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 300³ 3a²b = 3 × 300² × 95 3ab² = 3 × 300 × 95² b³ = 95³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (300 + 95)³ = 300³ + 3 × 300² × 95 + 3 × 300 × 95² + 95³ 395³ = 27,000,000 + 25,650,000 + 8,107,500 + 857,375 395³ = 61,689,875
Step 5: Hence, the cube of 395 is 61,689,875.
To find the cube of 395 using a calculator, input the number 395 and use the cube function (if available) or multiply 395 × 395 × 395. This operation calculates the value of 395³, resulting in 61,689,875. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Input 395
Step 3: If the calculator has a cube function, press it to calculate 395³.
Step 4: If there is no cube function on the calculator, simply multiply 395 three times manually.
Step 5: The calculator will display 61,689,875.
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 395?
The cube of 395 is 61,689,875 and the cube root of 395 is approximately 7.368.
First, let’s find the cube of 395.
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 395³ = 61,689,875 Next, we must find the cube root of 395 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√395 ≈ 7.368
Hence the cube of 395 is 61,689,875 and the cube root of 395 is approximately 7.368.
If the side length of the cube is 395 cm, what is the volume?
The volume is 61,689,875 cm³.
Use the volume formula for a cube V = Side³.
Substitute 395 for the side length: V = 395³ = 61,689,875 cm³.
How much larger is 395³ than 300³?
395³ – 300³ = 34,689,875.
First find the cube of 395³, that is 61,689,875
Next, find the cube of 300³, which is 27,000,000
Now, find the difference between them using the subtraction method. 61,689,875 – 27,000,000 = 34,689,875
Therefore, 395³ is 34,689,875 larger than 300³.
If a cube with a side length of 395 cm is compared to a cube with a side length of 95 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 395 cm is 61,689,875 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 395 means multiplying 395 by itself three times: 395 × 395 = 156,025, and then 156,025 × 395 = 61,689,875.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 61,689,875 cm³.
Estimate the cube 394.9 using the cube 395.
The cube of 394.9 is approximately 61,689,875.
First, identify the cube of 395,
The cube of 395 is 395³ = 61,689,875.
Since 394.9 is only a tiny bit less than 395, the cube of 394.9 will be almost the same as the cube of 395.
The cube of 394.9 is approximately 61,689,875 because the difference between 394.9 and 395 is very small.
So, we can approximate the value as 61,689,875.
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.