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 in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 883.
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 883 can be written as 883³, which is the exponential form. Or it can also be written in arithmetic form as, 883 × 883 × 883.
In order to check whether a number is a cube number or not, we can use the following three methods, such as the multiplication method, a factor formula (a³), or by using a calculator. These three methods will help 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. 883³ = 883 × 883 × 883 Step 2: You get 688,747,987 as the answer. Hence, the cube of 883 is 688,747,987.
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 883 into two parts, as 800 and 83. Let a = 800 and b = 83, so a + b = 883 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 800³ 3a²b = 3 × 800² × 83 3ab² = 3 × 800 × 83² b³ = 83³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (800 + 83)³ = 800³ + 3 × 800² × 83 + 3 × 800 × 83² + 83³ 883³ = 512,000,000 + 159,360,000 + 165,888 + 571,787 883³ = 688,747,987 Step 5: Hence, the cube of 883 is 688,747,987.
To find the cube of 883 using a calculator, input the number 883 and use the cube function (if available) or multiply 883 × 883 × 883. This operation calculates the value of 883³, resulting in 688,747,987. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 8 followed by 8 and 3 Step 3: If the calculator has a cube function, press it to calculate 883³. Step 4: If there is no cube function on the calculator, simply multiply 883 three times manually. Step 5: The calculator will display 688,747,987.
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 might occur during the process of cubing a number. Let us take a look at five major mistakes that can happen:
What is the cube and cube root of 883?
The cube of 883 is 688,747,987 and the cube root of 883 is approximately 9.545.
First, let’s find the cube of 883. 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 883³ = 688,747,987 Next, to find the cube root of 883 We know that the cube root of a number ‘x’, such that ∛x = y Where ‘x’ is the given number, and y is the cube root value of the number So, we get ∛883 ≈ 9.545 Hence, the cube of 883 is 688,747,987 and the cube root of 883 is approximately 9.545.
If the side length of the cube is 883 cm, what is the volume?
The volume is 688,747,987 cm³.
Use the volume formula for a cube V = Side³. Substitute 883 for the side length: V = 883³ = 688,747,987 cm³.
How much larger is 883³ than 800³?
883³ – 800³ = 176,747,987.
First, find the cube of 883, which is 688,747,987 Next, find the cube of 800, which is 512,000,000 Now, find the difference between them using the subtraction method. 688,747,987 – 512,000,000 = 176,747,987 Therefore, 883³ is 176,747,987 larger than 800³.
If a cube with a side length of 883 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 883 cm is 688,747,987 cm³.
To find its volume, multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 883 means multiplying 883 by itself three times: 883 × 883 = 779,689, and then 779,689 × 883 = 688,747,987. The unit of volume is cubic centimeters (cm³), as we are calculating the space inside the cube. Therefore, the volume of the cube is 688,747,987 cm³.
Estimate the cube of 882.9 using the cube of 883.
The cube of 882.9 is approximately 688,747,987.
First, identify the cube of 883, The cube of 883 is 883³ = 688,747,987. Since 882.9 is only a tiny bit less than 883, the cube of 882.9 will be almost the same as the cube of 883. The cube of 882.9 is approximately 688,747,987 because the difference between 882.9 and 883 is very small. So, we can approximate the value as 688,747,987.
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. Volume of a Cube: The amount of space inside a cube, calculated as side length cubed (Side³). Cube Root: The value that, when cubed, gives the original number. For example, the cube root of 27 is 3 because 3³ = 27.
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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