Cube of 0.58

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 0.58 can be written as 0.58³, which is the exponential form.

Or it can also be written in arithmetic form as 0.58 × 0.58 × 0.58.

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 (a³)
   
• 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. 0.58³ = 0.58 × 0.58 × 0.58

Step 2: You get approximately 0.195112 as the answer.

Hence, the cube of 0.58 is approximately 0.195112.

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 0.58 into two parts, such as 0.5 and 0.08. Let a = 0.5 and b = 0.08, so a + b = 0.58

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

Step 3: Calculate each term a³ = 0.5³ 3a²b = 3 × 0.5² × 0.08 3ab² = 3 × 0.5 × 0.08² b³ = 0.08³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (0.5 + 0.08)³ = 0.5³ + 3 × 0.5² × 0.08 + 3 × 0.5 × 0.08² + 0.08³ 0.58³ ≈ 0.125 + 0.06 + 0.0096 + 0.000512 0.58³ ≈ 0.195112

Step 5: Hence, the cube of 0.58 is approximately 0.195112.

To find the cube of 0.58 using a calculator, input the number 0.58 and use the cube function (if available) or multiply 0.58 × 0.58 × 0.58. This operation calculates the value of 0.58³, resulting in approximately 0.195112. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 0.58

Step 3: If the calculator has a cube function, press it to calculate 0.58³.

Step 4: If there is no cube function on the calculator, simply multiply 0.58 three times manually.

Step 5: The calculator will display approximately 0.195112.

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

• 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, 0.58³ represents 0.58 × 0.58 × 0.58.

• Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number.

• Volume: The amount of space occupied by a 3-dimensional object, such as a cube, calculated as the cube of its side length.