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 384.
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 384 can be written as 384³, which is the exponential form.
Or it can also be written in arithmetic form as, 384 × 384 × 384.
In order to check whether a number is a cube number or not, we can use the following three methods: multiplication method, 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 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. 384³ = 384 × 384 × 384
Step 2: You get 56,623,104 as the answer. Hence, the cube of 384 is 56,623,104.
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 384 into two parts, as 300 and 84. Let a = 300 and b = 84, so a + b = 384
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 300³ 3a²b = 3 × 300² × 84 3ab² = 3 × 300 × 84² b³ = 84³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (300 + 84)³ = 300³ + 3 × 300² × 84 + 3 × 300 × 84² + 84³ 384³ = 27,000,000 + 22,680,000 + 6,364,800 + 592,704 384³ = 56,637,504
Step 5: Hence, the cube of 384 is 56,637,504.
To find the cube of 384 using a calculator, input the number 384 and use the cube function (if available) or multiply 384 × 384 × 384. This operation calculates the value of 384³, resulting in 56,623,104. 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 8 and 4
Step 3: If the calculator has a cube function, press it to calculate 384³.
Step 4: If there is no cube function on the calculator, simply multiply 384 three times manually.
Step 5: The calculator will display 56,623,104.
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 384?
The cube of 384 is 56,623,104, and the cube root of 384 is approximately 7.273.
First, let’s find the cube of 384.
We know that the cube of a number is expressed as x³ = y, where x is the given number, and y is the cubed value of that number.
So, we get 384³ = 56,623,104.
Next, we must find the cube root of 384.
We know that the cube root of a number ‘x’ is expressed as ∛x = y, where ‘x’ is the given number, and y is the cube root value of the number.
So, we get ∛384 ≈ 7.273.
Hence, the cube of 384 is 56,623,104, and the cube root of 384 is approximately 7.273.
If the side length of the cube is 384 cm, what is the volume?
The volume is 56,623,104 cm³.
Use the volume formula for a cube V = Side³.
Substitute 384 for the side length: V = 384³ = 56,623,104 cm³.
How much larger is 384³ than 300³?
384³ – 300³ = 29,623,104.
First, find the cube of 384³, that is 56,623,104.
Next, find the cube of 300³, which is 27,000,000.
Now, find the difference between them using the subtraction method. 56,623,104 – 27,000,000 = 29,623,104.
Therefore, 384³ is 29,623,104 larger than 300³.
If a cube with a side length of 384 cm is compared to a cube with a side length of 84 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 384 cm is 56,623,104 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 384 means multiplying 384 by itself three times: 384 × 384 = 147,456, and then 147,456 × 384 = 56,623,104.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 56,623,104 cm³.
Estimate the cube 383.9 using the cube 384.
The cube of 383.9 is approximately 56,623,104.
First, identify the cube of 384.
The cube of 384 is 384³ = 56,623,104.
Since 383.9 is only a tiny bit less than 384, the cube of 383.9 will be almost the same as the cube of 384.
The cube of 383.9 is approximately 56,623,104 because the difference between 383.9 and 384 is very small.
So, we can approximate the value as 56,623,104.
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.