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 the cube of 990.
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 990 can be written as 990³, which is the exponential form. Or it can also be written in arithmetic form as, 990 × 990 × 990.
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. 990³ = 990 × 990 × 990 Step 2: You get 970,299,000 as the answer. Hence, the cube of 990 is 970,299,000.
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 990 into two parts, as and . Let a = 900 and b = 90, so a + b = 990 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 900³ 3a²b = 3 × 900² × 90 3ab² = 3 × 900 × 90² b³ = 90³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (900 + 90)³ = 900³ + 3 × 900² × 90 + 3 × 900 × 90² + 90³ 990³ = 729,000,000 + 218,700,000 + 72,900,000 + 729,000 990³ = 970,299,000 Step 5: Hence, the cube of 990 is 970,299,000.
To find the cube of 990 using a calculator, input the number 990 and use the cube function (if available) or multiply 990 × 990 × 990. This operation calculates the value of 990³, resulting in 970,299,000. 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 9 and 0 Step 3: If the calculator has a cube function, press it to calculate 990³. Step 4: If there is no cube function on the calculator, simply multiply 990 three times manually. Step 5: The calculator will display 970,299,000.
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 990?
The cube of 990 is 970,299,000 and the cube root of 990 is approximately 9.963.
First, let’s find the cube of 990. We know that cube of a number is x³ = y Where x is the given number, and y is the cubed value of that number So, we get 990³ = 970,299,000 Next, we must find the cube root of 990 We know that the cube root of a number ‘x’ is ∛x = y Where ‘x’ is the given number, and y is the cube root value of the number So, we get ∛990 ≈ 9.963 Hence the cube of 990 is 970,299,000 and the cube root of 990 is approximately 9.963.
If the side length of the cube is 990 cm, what is the volume?
The volume is 970,299,000 cm³.
Use the volume formula for a cube V = Side³. Substitute 990 for the side length: V = 990³ = 970,299,000 cm³.
How much larger is 990³ than 900³?
990³ – 900³ = 241,299,000.
First find the cube of 990³, that is 970,299,000 Next, find the cube of 900³, which is 729,000,000 Now, find the difference between them using the subtraction method. 970,299,000 – 729,000,000 = 241,299,000 Therefore, 990³ is 241,299,000 larger than 900³.
If a cube with a side length of 990 cm is compared to a cube with a side length of 90 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 990 cm is 970,299,000 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 990 means multiplying 990 by itself three times: 990 × 990 = 980,100, and then 980,100 × 990 = 970,299,000. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 970,299,000 cm³.
Estimate the cube of 989.9 using the cube of 990.
The cube of 989.9 is approximately 970,299,000.
First, identify the cube of 990, The cube of 990 is 990³ = 970,299,000. Since 989.9 is only a tiny bit less than 990, the cube of 989.9 will be almost the same as the cube of 990. The cube of 989.9 is approximately 970,299,000 because the difference between 989.9 and 990 is very small. So, we can approximate the value as 970,299,000.
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. Volume of a Cube: The space enclosed within a cube, calculated as the side length raised to the power of three (Side³). 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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