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 often used in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 887.
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 887 can be written as 887³, which is the exponential form. Or it can also be written in arithmetic form as 887 × 887 × 887.
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 kids 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 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. 887³ = 887 × 887 × 887 Step 2: You get 698,337,303 as the answer. Hence, the cube of 887 is 698,337,303.
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 887 into two parts, for example: 800 and 87. Let a = 800 and b = 87, so a + b = 887. Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³. Step 3: Calculate each term a³ = 800³ 3a²b = 3 × 800² × 87 3ab² = 3 × 800 × 87² b³ = 87³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (800 + 87)³ = 800³ + 3 × 800² × 87 + 3 × 800 × 87² + 87³ 887³ = 512,000,000 + 167,040,000 + 18,144,000 + 658,503 887³ = 698,337,303 Step 5: Hence, the cube of 887 is 698,337,303.
To find the cube of 887 using a calculator, input the number 887 and use the cube function (if available) or multiply 887 × 887 × 887. This operation calculates the value of 887³, resulting in 698,337,303. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Enter 887. Step 3: If the calculator has a cube function, press it to calculate 887³. Step 4: If there is no cube function on the calculator, simply multiply 887 three times manually. Step 5: The calculator will display 698,337,303.
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 887?
The cube of 887 is 698,337,303 and the cube root of 887 is approximately 9.589.
First, let’s find the cube of 887. 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 887³ = 698,337,303. Next, we must find the cube root of 887. We know that the 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√887 ≈ 9.589. Hence, the cube of 887 is 698,337,303 and the cube root of 887 is approximately 9.589.
If the side length of the cube is 887 cm, what is the volume?
The volume is 698,337,303 cm³.
Use the volume formula for a cube V = Side³. Substitute 887 for the side length: V = 887³ = 698,337,303 cm³.
How much larger is 887³ than 800³?
887³ – 800³ = 186,337,303.
First, find the cube of 887, which is 698,337,303. Next, find the cube of 800, which is 512,000,000. Now, find the difference between them using the subtraction method. 698,337,303 – 512,000,000 = 186,337,303. Therefore, 887³ is 186,337,303 larger than 800³.
If a cube with a side length of 887 cm is compared to a cube with a side length of 87 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 887 cm is 698,337,303 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 887 means multiplying 887 by itself three times: 887 × 887 = 787,369, and then 787,369 × 887 = 698,337,303. The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube. Therefore, the volume of the cube is 698,337,303 cm³.
Estimate the cube of 886.9 using the cube of 887.
The cube of 886.9 is approximately 698,337,303.
First, identify the cube of 887. The cube of 887 is 887³ = 698,337,303. Since 886.9 is only a tiny bit less than 887, the cube of 886.9 will be almost the same as the cube of 887. The cube of 886.9 is approximately 698,337,303 because the difference between 886.9 and 887 is very small. So, we can approximate the value as 698,337,303.
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 equals 8. Perfect Cube: A number that can be expressed as the cube of an integer. Volume: The amount of space occupied by a 3-dimensional object, often measured in cubic units.
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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