Last updated on May 27th, 2025
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 793.
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 793 can be written as 793³, which is the exponential form. Or it can also be written in arithmetic form as 793 × 793 × 793.
In order 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 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. 793³ = 793 × 793 × 793 Step 2: You get 498,033,937 as the answer. Hence, the cube of 793 is 498,033,937.
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 793 into two parts. Let a = 790 and b = 3, so a + b = 793 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 790³ 3a²b = 3 × 790² × 3 3ab² = 3 × 790 × 3² b³ = 3³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (790 + 3)³ = 790³ + 3 × 790² × 3 + 3 × 790 × 3² + 3³ 793³ = 493,039,000 + 5,607,900 + 21,330 + 27 793³ = 498,033,937 Step 5: Hence, the cube of 793 is 498,033,937.
To find the cube of 793 using a calculator, input the number 793 and use the cube function (if available) or multiply 793 × 793 × 793. This operation calculates the value of 793³, resulting in 498,033,937. 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 9, then 3 Step 3: If the calculator has a cube function, press it to calculate 793³. Step 4: If there is no cube function on the calculator, simply multiply 793 three times manually. Step 5: The calculator will display 498,033,937.
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.
There are some typical errors that kids might make during the process of cubing a number. Let us take a look at five of the major mistakes that kids might make:
What is the cube and cube root of 793?
The cube of 793 is 498,033,937 and the cube root of 793 is approximately 9.283.
First, let’s find the cube of 793. We know that the cube of a number, such that x³ = y Where x is the given number, and y is the cubed value of that number So, we get 793³ = 498,033,937 Next, we must find the cube root of 793 We know that cube root of a number ‘x’, such that ³√x = y Where ‘x’ is the given number, and y is the cube root value of the number So, we get ³√793 ≈ 9.283 Hence the cube of 793 is 498,033,937 and the cube root of 793 is approximately 9.283.
If the side length of the cube is 793 cm, what is the volume?
The volume is 498,033,937 cm³.
Use the volume formula for a cube V = Side³. Substitute 793 for the side length: V = 793³ = 498,033,937 cm³.
How much larger is 793³ than 590³?
793³ – 590³ = 320,367,937.
First, find the cube of 793³, that is 498,033,937 Next, find the cube of 590³, which is 177,666,000 Now, find the difference between them using the subtraction method. 498,033,937 – 177,666,000 = 320,367,937 Therefore, 793³ is 320,367,937 larger than 590³.
If a cube with a side length of 793 cm is compared to a cube with a side length of 200 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 793 cm is 498,033,937 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 793 means multiplying 793 by itself three times: 793 × 793 = 628,349, and then 628,349 × 793 = 498,033,937. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 498,033,937 cm³.
Estimate the cube 792 using the cube 793.
The cube of 792 is approximately 498,033,937.
First, identify the cube of 793, The cube of 793 is 793³ = 498,033,937. Since 792 is only a tiny bit less than 793, the cube of 792 will be almost the same as the cube of 793. The cube of 792 is approximately 498,033,937 because the difference between 792 and 793 is very small. So, we can approximate the value as 498,033,937.
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, 2³ represents 2 × 2 × 2 equals 8. Perfect Cube: A number that can be expressed as the product of three equal integers. Cube Root: The number that when multiplied by itself three times gives the original number.
Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.
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