Cube of 1374

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 1374 can be written as 1374³, which is the exponential form.

Or it can also be written in arithmetic form as 1374 × 1374 × 1374.

To determine 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 students 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 or quantities 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. 1374³ = 1374 × 1374 × 1374

Step 2: You get 2,593,474,424 as the answer. Hence, the cube of 1374 is 2,593,474,424.

The binomial formula (a + b)³ is used to find the cube of a number. The formula is expanded as a³ + 3a²b + 3ab² + b³.

Step 1: Split the number 1374 into two parts. Let a = 1300 and b = 74, so a + b = 1374

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

Step 3: Calculate each term a³ = 1300³ 3a²b = 3 × 1300² × 74 3ab² = 3 × 1300 × 74² b³ = 74³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1300 + 74)³ = 1300³ + 3 × 1300² × 74 + 3 × 1300 × 74² + 74³ 1374³ = 2,197,000,000 + 372,180,000 + 21,384,000 + 405,224 1374³ = 2,593,474,424

Step 5: Hence, the cube of 1374 is 2,593,474,424.

To find the cube of 1374 using a calculator, input the number 1374 and use the cube function (if available) or multiply 1374 × 1374 × 1374.

This operation calculates the value of 1374³, resulting in 2,593,474,424. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 1, 3, 7, 4

Step 3: If the calculator has a cube function, press it to calculate 1374³.

Step 4: If there is no cube function on the calculator, simply multiply 1374 three times manually.

Step 5: The calculator will display 2,593,474,424.

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)³, 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 (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.

• Volume of a Cube: The amount of space inside a cube, calculated as the cube of its side length. Perfect Cube: A number that can be expressed as the cube of an integer.