Cube of 387
2026-02-28 10:29 Diff
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Last updated on August 5, 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.

Cube 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.

How to Calculate the Value of Cube of 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.

  • By Multiplication Method
     
  • Using a Formula
     
  • Using a Calculator

By Multiplication Method

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.

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Using a Formula (a³)

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.

Using a Calculator

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.

Tips and Tricks for the Cube of 387

  • The cube of any even number is always even, while the cube of any odd number is always odd.
     
  • The product of two or more perfect cube numbers is always a perfect cube.
     
  • A perfect cube can always be expressed as the product of three identical groups of equal prime factors.

Common Mistakes to Avoid When Calculating the Cube of 387

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:

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Problem 1

What is the cube and cube root of 387?

Okay, lets begin

The cube of 387 is 57,942,003 and the cube root of 387 is approximately 7.271.

Explanation

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.

Well explained 👍

Problem 2

If the side length of the cube is 387 cm, what is the volume?

Okay, lets begin

The volume is 57,942,003 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 387 for the side length: V = 387³ = 57,942,003 cm³.

Well explained 👍

Problem 3

How much larger is 387³ than 380³?

Okay, lets begin

387³ – 380³ = 2,826,243.

Explanation

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.

Well explained 👍

Problem 4

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?

Okay, lets begin

The volume of the cube with a side length of 387 cm is 57,942,003 cm³.

Explanation

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.

Well explained 👍

Problem 5

Estimate the cube of 386.9 using the cube of 387.

Okay, lets begin

The cube of 386.9 is approximately 57,942,003.

Explanation

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.

Well explained 👍

FAQs on Cube of 387

1.What are the perfect cubes up to 387?

The perfect cubes up to 387 are 1, 8, 27, 64, 125, 216, and 343.

2.How do you calculate 387³?

To calculate 387³, use the multiplication method, 387 × 387 × 387, which equals 57,942,003.

3.What is the meaning of 387³?

387³ means 387 multiplied by itself three times, or 387 × 387 × 387.

4.What is the cube root of 387?

5.Is 387 a perfect cube?

No, 387 is not a perfect cube because no integer multiplied by itself three times equals 387.

Important Glossaries for Cube of 387

  • Binomial Formula: It is an algebraic expression used to expand the powers of a number, written as (a + b)ⁿ, where ‘n’ is a positive integer raised to the base. The formula is used to find the square and cube of a number.
     
  • Cube of a Number: Multiplying a number by itself three times is called the cube of a number.
     
  • Exponential Form: It is a way of expressing numbers using a base and an exponent (or power), where the exponent value indicates how many times the base is multiplied by itself. For example, 2³ represents 2 × 2 × 2 equals 8.
     
  • Perfect Cube: A number is a perfect cube if it can be expressed as the cube of an integer.
     
  • Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number.

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Jaskaran Singh Saluja

About the Author

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.

Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.