Cube of 938

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 938 can be written as 938³, which is the exponential form. Or it can also be written in arithmetic form as, 938 x 938 x 938.

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. -

1. By Multiplication Method 
2. Using a Formula 
3. Using a Calculator

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. 938³ = 938 x 938 x 938

Step 2: You get 826,594,872 as the answer. Hence, the cube of 938 is 826,594,872.

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 938 into two parts. Let \(a = 900\) and \(b = 38\), so \(a + b = 938\)

Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³

Step 3: Calculate each term a³ = 900³

3a²b = 3 x 900² x 38

3ab² = 3 x 900 x 38²

b³ = 38³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(900 + 38)³ = 900³ + 3 x 900²  x 38 + 3 x 900 x 38² + 38³

938³ = 729,000,000 + 92,340,000 + 3,888,600 + 54,872

938³ = 826,594,872

Step 5: Hence, the cube of 938 is 826,594,872.

To find the cube of 938 using a calculator, input the number 938 and use the cube function (if available) or multiply 938 x 938 x 938. This operation calculates the value of 938³, resulting in 826,594,872. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 9 followed by 3 and 8

Step 3: If the calculator has a cube function, press it to calculate 938³.

Step 4: If there is no cube function on the calculator, simply multiply 938 three times manually.

Step 5: The calculator will display 826,594,872.

• 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.

• Binomial Formula: 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: 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 x 2 x 2 equals 8.

• Volume Formula: The formula used to calculate the space inside a cube, expressed as V = Side³.

• Perfect Cube: A number that can be expressed as the cube of an integer.