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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 986.
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 986 can be written as 986³, which is the exponential form. Or it can also be written in arithmetic form as, 986 × 986 × 986.
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 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. 986³ = 986 × 986 × 986 Step 2: You get 958,658,336 as the answer. Hence, the cube of 986 is 958,658,336.
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 986 into two parts. Let a = 980 and b = 6, so a + b = 986 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³= 980³ 3a²b = 3 × 980² × 6 3ab² = 3 × 980 × 6² b³ = 6³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (980 + 6)³ = 980³ + 3 × 980² × 6 + 3 × 980 × 6² + 6³ 986³ = 941,192,000 + 172,368 + 34,992 + 216 986³ = 958,658,336 Step 5: Hence, the cube of 986 is 958,658,336.
To find the cube of 986 using a calculator, input the number 986 and use the cube function (if available) or multiply 986 × 986 × 986. This operation calculates the value of 986³, resulting in 958,658,336. 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 6 Step 3: If the calculator has a cube function, press it to calculate 986³. Step 4: If there is no cube function on the calculator, simply multiply 986 three times manually. Step 5: The calculator will display 958,658,336.
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 986?
The cube of 986 is 958,658,336, and the cube root of 986 is approximately 9.958.
First, let’s find the cube of 986. We know that 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 986³ = 958,658,336 Next, we must find the cube root of 986. 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 ∛986 ≈ 9.958 Hence, the cube of 986 is 958,658,336 and the cube root of 986 is approximately 9.958.
If the side length of the cube is 986 cm, what is the volume?
The volume is 958,658,336 cm³.
Use the volume formula for a cube V = Side³. Substitute 986 for the side length: V = 986³ = 958,658,336 cm³.
How much larger is 986³ than 980³?
986³ – 980³ = 2,788,336.
First, find the cube of 986³, which is 958,658,336 Next, find the cube of 980³, which is 941,192,000 Now, find the difference between them using the subtraction method. 958,658,336 – 941,192,000 = 17,466,336 Therefore, 986³ is 17,466,336 larger than 980³.
If a cube with a side length of 986 cm is compared to a cube with a side length of 480 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 986 cm is 958,658,336 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 986 means multiplying 986 by itself three times: 986 × 986 = 972,196, and 972,196 × 986 = 958,658,336. The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube. Therefore, the volume of the cube is 958,658,336 cm³.
Estimate the cube of 985 using the cube of 986.
The cube of 985 is approximately 958,658,336.
First, identify the cube of 986, The cube of 986 is 986³ = 958,658,336. Since 985 is only slightly less than 986, the cube of 985 will be almost the same as the cube of 986. The cube of 985 is approximately 958,658,336 because the difference between 985 and 986 is very small. So, we can approximate the value as 958,658,336.
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 that a substance or object occupies, 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.
: He loves to play the quiz with kids through algebra to make kids love it.