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 the cube of 979.
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 multiplying a negative number by itself three times results in a negative number. The cube of 979 can be written as 979³, which is the exponential form. Or it can also be written in arithmetic form as, 979 × 979 × 979.
In order to check whether a number is a cube number or not, we can use the following three methods: 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. 979³ = 979 × 979 × 979 Step 2: Calculate the product to get the answer. Hence, the cube of 979 is 937,328,539.
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 979 into two parts, as 900 and 79. Let a = 900 and b = 79, so a + b = 979 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 900³ 3a²b = 3 × 900² × 79 3ab² = 3 × 900 × 79² b³ = 79³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (900 + 79)³ = 900³ + 3 × 900² × 79 + 3 × 900 × 79² + 79³ 979³ = 729,000,000 + 191,970,000 + 16,722,300 + 493,039 979³ = 937,328,539 Step 5: Hence, the cube of 979 is 937,328,539.
To find the cube of 979 using a calculator, input the number 979 and use the cube function (if available) or multiply 979 × 979 × 979. This operation calculates the value of 979³, resulting in 937,328,539. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Input 979 Step 3: If the calculator has a cube function, press it to calculate 979³. Step 4: If there is no cube function on the calculator, simply multiply 979 three times manually. Step 5: The calculator will display 937,328,539.
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 979?
The cube of 979 is 937,328,539 and the cube root of 979 is approximately 9.907.
First, let’s find the cube of 979. 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 979³ = 937,328,539 Next, we must find the cube root of 979. 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 ∛979 ≈ 9.907 Hence, the cube of 979 is 937,328,539 and the cube root of 979 is approximately 9.907.
If the side length of the cube is 979 cm, what is the volume?
The volume is 937,328,539 cm³.
Use the volume formula for a cube V = Side³. Substitute 979 for the side length: V = 979³ = 937,328,539 cm³.
How much larger is 979³ than 900³?
979³ – 900³ = 208,328,539.
First, find the cube of 979³, which is 937,328,539. Next, find the cube of 900³, which is 729,000,000. Now, find the difference between them using the subtraction method. 937,328,539 – 729,000,000 = 208,328,539 Therefore, 979³ is 208,328,539 larger than 900³.
If a cube with a side length of 979 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 979 cm is 937,328,539 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 979 means multiplying 979 by itself three times: 979 × 979 = 958,441, and then 958,441 × 979 = 937,328,539. The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube. Therefore, the volume of the cube is 937,328,539 cm³.
Estimate the cube 980 using the cube 979.
The cube of 980 is approximately 937,328,539.
First, identify the cube of 979. The cube of 979 is 979³ = 937,328,539. Since 980 is only a tiny bit more than 979, the cube of 980 will be almost the same as the cube of 979. The cube of 980 is approximately 937,328,539 because the difference between 979 and 980 is very small. So, we can approximate the value as 937,328,539.
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 occupied by a cube, calculated using the formula V = Side³. Perfect Cube: A number that can be expressed as the cube of an integer.
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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