Cube of 370

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 370 can be written as 370³, which is the exponential form.

Or it can also be written in arithmetic form as, 370 × 370 × 370.

To determine whether a number is a cube number or not, we can use three methods: multiplication method, a factor formula (a³), or by using a calculator. These methods help calculate cubes faster and easier without confusion.

• 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 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. 370³ = 370 × 370 × 370

Step 2: You get 50,653,000 as the answer. Hence, the cube of 370 is 50,653,000.

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 370 into two parts. Let a = 350 and b = 20, so a + b = 370

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

Step 3: Calculate each term a³= 350³ 3a²b = 3 × 350² × 20 3ab² = 3 × 350 × 20² b³ = 20³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (350 + 20)³ = 350³ + 3 × 350² × 20 + 3 × 350 × 20² + 20³ 370³ = 42,875,000 + 7,350,000 + 735,000 + 8,000 370³ = 50,653,000

Step 5: Hence, the cube of 370 is 50,653,000.

To find the cube of 370 using a calculator, input the number 370 and use the cube function (if available) or multiply 370 × 370 × 370. This operation calculates the value of 370³, resulting in 50,653,000. 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 7 followed by 0.

Step 3: If the calculator has a cube function, press it to calculate 370³.

Step 4: If there is no cube function on the calculator, simply multiply 370 three times manually.

Step 5: The calculator will display 50,653,000.

• 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 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, where the exponent value indicates how many times the base is multiplied by itself. For example, 3³ represents 3 × 3 × 3 equals to 27.
   
• Perfect Cube: A number that can be expressed as the product of three equal integers.
   
• Volume of a Cube: The measure of the amount of space inside a cube, calculated as the side length raised to the power of three.