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 987.
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 because a negative number multiplied by itself three times results in a negative number. The cube of 987 can be expressed as 987³, which is the exponential form. Or it can also be written in arithmetic form as 987 × 987 × 987.
To check whether a number is a cube number or not, we can use the following three methods: multiplication method, factor formula (a³), or by using a calculator. These three methods help in cubing numbers faster and easier without confusion 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. 987³ = 987 × 987 × 987 Step 2: You get 961,504,803 as the answer. Hence, the cube of 987 is 961,504,803.
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 987 into two parts. Let a = 900 and b = 87, so a + b = 987 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 900³ 3a²b = 3 × 900² × 87 3ab² = 3 × 900 × 87² b³ = 87³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (900 + 87)³ = 900³ + 3 × 900² × 87 + 3 × 900 × 87² + 87³ 987³ = 729,000,000 + 210,690,000 + 20,439,900 + 658,503 987³ = 961,504,803 Step 5: Hence, the cube of 987 is 961,504,803.
To find the cube of 987 using a calculator, input the number 987 and use the cube function (if available) or multiply 987 × 987 × 987. This operation calculates the value of 987³, resulting in 961,504,803. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 9 followed by 8 and then 7 Step 3: If the calculator has a cube function, press it to calculate 987³. Step 4: If there is no cube function on the calculator, simply multiply 987 three times manually. Step 5: The calculator will display 961,504,803.
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 can occur during the process of cubing a number. Let us take a look at five of the major mistakes:
What is the cube and cube root of 987?
The cube of 987 is 961,504,803, and the cube root of 987 is approximately 9.957.
First, let’s find the cube of 987. 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 987³ = 961,504,803 Next, we must find the cube root of 987 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 ∛987 ≈ 9.957 Hence, the cube of 987 is 961,504,803, and the cube root of 987 is approximately 9.957.
If the side length of a cube is 987 cm, what is the volume?
The volume is 961,504,803 cm³.
Use the volume formula for a cube V = Side³. Substitute 987 for the side length: V = 987³ = 961,504,803 cm³.
How much larger is 987³ than 900³?
987³ – 900³ = 232,504,803.
First find the cube of 987, which is 961,504,803. Next, find the cube of 900, which is 729,000,000. Now, find the difference between them using the subtraction method. 961,504,803 – 729,000,000 = 232,504,803 Therefore, 987³ is 232,504,803 larger than 900³.
If a cube with a side length of 987 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 987 cm is 961,504,803 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 987 means multiplying 987 by itself three times: 987 × 987 = 974,169, and then 974,169 × 987 = 961,504,803. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 961,504,803 cm³.
Estimate the cube of 986.9 using the cube of 987.
The cube of 986.9 is approximately 961,504,803.
First, identify the cube of 987. The cube of 987 is 987³ = 961,504,803. Since 986.9 is very close to 987, the cube of 986.9 will be almost the same as the cube of 987. The cube of 986.9 is approximately 961,504,803 because the difference between 986.9 and 987 is very small. So, we can approximate the value as 961,504,803.
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. 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 is the cube of an integer. For example, 27 is a perfect cube because it is 3³.
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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