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 cubes of 884.
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 884 can be written as 884³, which is the exponential form. Or it can also be written in arithmetic form as, 884 × 884 × 884.
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 learners 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. 884³ = 884 × 884 × 884 Step 2: You get 690,373,384 as the answer. Hence, the cube of 884 is 690,373,384.
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 884 into two parts. Let a = 880 and b = 4, so a + b = 884 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 880³ 3a²b = 3 × 880² × 4 3ab² = 3 × 880 × 4² b³ = 4³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (880 + 4)³ = 880³ + 3 × 880² × 4 + 3 × 880 × 4² + 4³ 884³ = 681472000 + 928640 + 42240 + 64 884³ = 690,373,384 Step 5: Hence, the cube of 884 is 690,373,384.
To find the cube of 884 using a calculator, input the number 884 and use the cube function (if available) or multiply 884 × 884 × 884. This operation calculates the value of 884³, resulting in 690,373,384. 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 4 Step 3: If the calculator has a cube function, press it to calculate 884³. Step 4: If there is no cube function on the calculator, simply multiply 884 three times manually. Step 5: The calculator will display 690,373,384.
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 learners might make during the process of cubing a number. Let us take a look at five of the major mistakes that learners might make:
What is the cube and cube root of 884?
The cube of 884 is 690,373,384 and the cube root of 884 is 9.545.
First, let’s find the cube of 884. We know that the cube of a number is such that x³ = y Where x is the given number, and y is the cubed value of that number So, we get 884³ = 690,373,384 Next, we must find the cube root of 884 We know that the cube root of a number ‘x’ is such that ∛x = y Where ‘x’ is the given number, and y is the cube root value of the number So, we get ∛884 ≈ 9.545 Hence the cube of 884 is 690,373,384 and the cube root of 884 is approximately 9.545.
If the side length of the cube is 884 cm, what is the volume?
The volume is 690,373,384 cm³.
Use the volume formula for a cube V = Side³. Substitute 884 for the side length: V = 884³ = 690,373,384 cm³.
How much larger is 884³ than 680³?
884³ – 680³ = 430,183,384.
First find the cube of 884³, that is 690,373,384 Next, find the cube of 680³, which is 260,190,000 Now, find the difference between them using the subtraction method. 690,373,384 – 260,190,000 = 430,183,384 Therefore, 884³ is 430,183,384 larger than 680³.
If a cube with a side length of 884 cm is compared to a cube with a side length of 10 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 884 cm is 690,373,384 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 884 means multiplying 884 by itself three times: 884 × 884 = 781,456, and then 781,456 × 884 = 690,373,384. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 690,373,384 cm³.
Estimate the cube 883 using the cube 884.
The cube of 883 is approximately 690,373,384.
First, identify the cube of 884, The cube of 884 is 884³ = 690,373,384. Since 883 is only a tiny bit less than 884, the cube of 883 will be almost the same as the cube of 884. The cube of 883 is approximately 690,373,384 because the difference between 883 and 884 is very small. So, we can approximate the value as 690,373,384.
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. Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number. Perfect Cube: A number that can be expressed as the cube of an integer is called a perfect cube.
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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