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 in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 388.
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 388 can be written as 388³, which is the exponential form.
Or it can also be written in arithmetic form as 388 × 388 × 388.
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 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. 388³ = 388 × 388 × 388
Step 2: You get 58,470,272 as the answer. Hence, the cube of 388 is 58,470,272.
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 388 into two parts. Let a = 300 and b = 88, so a + b = 388
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 300³ 3a²b = 3 × 300² × 88 3ab² = 3 × 300 × 88² b³ = 88³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (300 + 88)³ = 300³ + 3 × 300² × 88 + 3 × 300 × 88² + 88³ 388³ = 27,000,000 + 23,760,000 + 6,940,800 + 681,472 388³ = 58,470,272
Step 5: Hence, the cube of 388 is 58,470,272.
To find the cube of 388 using a calculator, input the number 388 and use the cube function (if available) or multiply 388 × 388 × 388. This operation calculates the value of 388³, resulting in 58,470,272. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Enter 388
Step 3: If the calculator has a cube function, press it to calculate 388³.
Step 4: If there is no cube function on the calculator, simply multiply 388 three times manually.
Step 5: The calculator will display 58,470,272.
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 388?
The cube of 388 is 58,470,272 and the cube root of 388 is approximately 7.292.
First, let’s find the cube of 388.
We know that the cube of a number is x³ = y, where x is the given number, and y is the cubed value of that number.
So, we get 388³ = 58,470,272. Next, we must find the cube root of 388.\
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 ∛388 ≈ 7.292.
Hence, the cube of 388 is 58,470,272 and the cube root of 388 is approximately 7.292.
If the side length of the cube is 388 cm, what is the volume?
The volume is 58,470,272 cm³.
Use the volume formula for a cube V = Side³.
Substitute 388 for the side length: V = 388³ = 58,470,272 cm³.
How much larger is 388³ than 288³?
388³ – 288³ = 45,361,472.
First, find the cube of 388³, which is 58,470,272.
Next, find the cube of 288³, which is 13,108,800.
Now, find the difference between them using the subtraction method. 58,470,272 – 13,108,800 = 45,361,472.
Therefore, 388³ is 45,361,472 larger than 288³.
If a cube with a side length of 388 cm is compared to a cube with a side length of 88 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 388 cm is 58,470,272 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 388 means multiplying 388 by itself three times: 388 × 388 = 150,544, and 150,544 × 388 = 58,470,272.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 58,470,272 cm³.
Estimate the cube of 387.5 using the cube of 388.
The cube of 387.5 is approximately 58,470,272.
First, identify the cube of 388.
The cube of 388 is 388³ = 58,470,272.
Since 387.5 is only a tiny bit less than 388, the cube of 387.5 will be almost the same as the cube of 388.
The cube of 387.5 is approximately 58,470,272 because the difference between 387.5 and 388 is very small.
So, we can approximate the value as 58,470,272.
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.