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 387.
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 387 can be written as 387³, which is the exponential form.
Or it can also be written in arithmetic form as, 387 × 387 × 387.
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. 387³ = 387 × 387 × 387
Step 2: You get 57,942,003 as the answer. Hence, the cube of 387 is 57,942,003.
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 387 into two parts, as 380 and 7. Let a = 380 and b = 7, so a + b = 387
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 380³ 3a²b = 3 × 380² × 7 3ab² = 3 × 380 × 7² b³ = 7³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (380 + 7)³ = 380³ + 3 × 380² × 7 + 3 × 380 × 7² + 7³ 387³ = 54,872,000 + 302,280 + 55,860 + 343 387³ = 57,942,003
Step 5: Hence, the cube of 387 is 57,942,003.
To find the cube of 387 using a calculator, input the number 387 and use the cube function (if available) or multiply 387 × 387 × 387. This operation calculates the value of 387³, resulting in 57,942,003. 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 then 7
Step 3: If the calculator has a cube function, press it to calculate 387³.
Step 4: If there is no cube function on the calculator, simply multiply 387 three times manually.
Step 5: The calculator will display 57,942,003.
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 387?
The cube of 387 is 57,942,003 and the cube root of 387 is approximately 7.271.
First, let’s find the cube of 387.
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 387³ = 57,942,003
Next, we must find the cube root of 387
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√387 ≈ 7.271
Hence the cube of 387 is 57,942,003 and the cube root of 387 is approximately 7.271.
If the side length of the cube is 387 cm, what is the volume?
The volume is 57,942,003 cm³.
Use the volume formula for a cube V = Side³.
Substitute 387 for the side length: V = 387³ = 57,942,003 cm³.
How much larger is 387³ than 380³?
387³ – 380³ = 2,826,243.
First, find the cube of 387³, that is 57,942,003
Next, find the cube of 380³, which is 55,115,760
Now, find the difference between them using the subtraction method. 57,942,003 – 55,115,760 = 2,826,243
Therefore, 387³ is 2,826,243 larger than 380³.
If a cube with a side length of 387 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 387 cm is 57,942,003 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 387 means multiplying 387 by itself three times: 387 × 387 = 149,769, and then 149,769 × 387 = 57,942,003.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 57,942,003 cm³.
Estimate the cube of 386.9 using the cube of 387.
The cube of 386.9 is approximately 57,942,003.
First, identify the cube of 387,
The cube of 387 is 387³ = 57,942,003.
Since 386.9 is only a tiny bit less than 387, the cube of 386.9 will be almost the same as the cube of 387.
The cube of 386.9 is approximately 57,942,003 because the difference between 386.9 and 387 is very small.
So, we can approximate the value as 57,942,003.
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.