Cube of 70

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 70 can be written as 70³, which is the exponential form.

Or it can also be written in arithmetic form as, 70 × 70 × 70.

In order to check whether a number is a cube number or not, we can use the following three methods, such as 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. 70³ = 70 × 70 × 70

Step 2: You get 343,000 as the answer.

Hence, the cube of 70 is 343,000.

The formula (a + b)^3 is a binomial formula for finding the cube of a number. The formula is expanded as a^3 + 3a^2b + 3ab^2 + b^3.

Step 1: Split the number 70 into two parts, as and . Let a = 60 and b = 10, so a + b = 70

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

Step 3: Calculate each term a³ = 60³ 3a²b = 3 × 60² × 10 3ab² = 3 × 60 × 10² b³ = 10³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (60 + 10)³ = 60³ + 3 × 60² × 10 + 3 × 60 × 10² + 10³ 70³ = 216,000 + 108,000 + 18,000 + 1,000 70³ = 343,000

Step 5: Hence, the cube of 70 is 343,000.

To find the cube of 70 using a calculator, input the number 70 and use the cube function (if available) or multiply 70 × 70 × 70. This operation calculates the value of 70³, resulting in 343,000. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 7 followed by 0

Step 3: If the calculator has a cube function, press it to calculate 70³.

Step 4: If there is no cube function on the calculator, simply multiply 70 three times manually.

Step 5: The calculator will display 343,000.

• 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 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 × 2 × 2, which equals 8.

• Perfect Cube: A number that is the cube of an integer, such as 1, 8, 27, 64, 125, etc.

• Volume of a Cube: The measure of the space occupied by the cube, calculated as the side length cubed (side^3).