Cube of 437

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 437 can be written as 437³, which is the exponential form. Or it can also be written in arithmetic form as, 437 × 437 × 437.

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 cube the numbers faster and easier without feeling confused or stuck while evaluating the answers.

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

The multiplication method is a process in mathematics used to find the product of numbers by combining them through repeated multiplication. It is a fundamental operation that forms the basis for more complex mathematical concepts.

Step 1: Write down the cube of the given number.

437³ = 437 × 437 × 437

Step 2: You get 83,502,053 as the answer.

Hence, the cube of 437 is 83,502,053.

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 437 into two parts.

Let a = 400 and b = 37, so a + b = 437

Step 2: Now, apply the formula

(a + b)³ = a³ + 3a²

b + 3ab² + b³

Step 3: Calculate each term

a³ = 400³

3a²b = 3 × 400² × 37

3ab² = 3 × 400 × 37²

b³ = 37³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²

b + 3ab² + b³

(400 + 37)³ = 400³ + 3 × 400² × 37 + 3 × 400 × 37² + 37³

437³ = 64,000,000 + 17,760,000 + 1,640,400 + 50,653

437³ = 83,502,053

Step 5: Hence, the cube of 437 is 83,502,053.

To find the cube of 437 using a calculator, input the number 437 and use the cube function (if available) or multiply 437 × 437 × 437. This operation calculates the value of 437³, resulting in 83,502,053. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 4 followed by 3 and 7

Step 3: If the calculator has a cube function, press it to calculate 437³.

Step 4: If there is no cube function on the calculator, simply multiply 437 three times manually.

Step 5: The calculator will display 83,502,053.

• 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.

• 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 × 2 × 2 equals 8.

• Perfect Cube: A number that is the cube of an integer.

• Volume of a Cube: Calculated by using the formula V = Side³, where “Side” is the length of one side of the cube.