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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 394.
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 394 can be written as 394³, which is the exponential form.
Or it can also be written in arithmetic form as, 394 × 394 × 394.
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. 394³ = 394 × 394 × 394
Step 2: You get 61,256,584 as the answer. Hence, the cube of 394 is 61,256,584.
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 394 into two parts, as 390 and 4. Let a = 390 and b = 4, so a + b = 394
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 390³ 3a²b = 3 × 390² × 4 3ab² = 3 × 390 × 4² b³ = 4³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (390 + 4)³ = 390³ + 3 × 390² × 4 + 3 × 390 × 4² + 4³ 394³ = 59,319,000 + 1,824,000 + 18,720 + 64 394³ = 61,161,784
Step 5: Hence, the cube of 394 is 61,161,784.
To find the cube of 394 using a calculator, input the number 394 and use the cube function (if available) or multiply 394 × 394 × 394. This operation calculates the value of 394³, resulting in 61,256,584. 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 9 and 4
Step 3: If the calculator has a cube function, press it to calculate 394³.
Step 4: If there is no cube function on the calculator, simply multiply 394 three times manually.
Step 5: The calculator will display 61,256,584.
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 394?
The cube of 394 is 61,256,584 and the cube root of 394 is approximately 7.368.
First, let’s find the cube of 394.
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 394³ = 61,256,584. Next, we must find the cube root of 394.
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 ∛394 ≈ 7.368.
Hence the cube of 394 is 61,256,584 and the cube root of 394 is approximately 7.368.
If the side length of the cube is 394 cm, what is the volume?
The volume is 61,256,584 cm³.
Use the volume formula for a cube V = Side³.
Substitute 394 for the side length: V = 394³ = 61,256,584 cm³.
How much larger is 394³ than 390³?
394³ – 390³ = 1,937,584.
First, find the cube of 394, which is 61,256,584.
Next, find the cube of 390, which is 59,319,000.
Now, find the difference between them using the subtraction method. 61,256,584 – 59,319,000 = 1,937,584.
Therefore, 394³ is 1,937,584 larger than 390³.
If a cube with a side length of 394 cm is compared to a cube with a side length of 4 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 394 cm is significantly larger than the cube with a side length of 4 cm.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 394 means multiplying 394 by itself three times: 394 × 394 = 155,236, and then 155,236 × 394 = 61,256,584.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
The volume of a cube with a side length of 4 cm is 4³ = 64 cm³.
Therefore, the volume of the cube with a side length of 394 cm is 61,256,520 cm³ larger than the cube with a side length of 4 cm.
Estimate the cube 393.9 using the cube of 394.
The cube of 393.9 is approximately 61,256,584.
First, identify the cube of 394.
The cube of 394 is 394³ = 61,256,584.
Since 393.9 is only a tiny bit less than 394, the cube of 393.9 will be almost the same as the cube of 394.
The cube of 393.9 is approximately 61,256,584 because the difference between 393.9 and 394 is very small.
So, we can approximate the value as 61,256,584.
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.