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 966.
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 966 can be written as 966³, which is the exponential form. Or it can also be written in arithmetic form as 966 × 966 × 966.
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 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. 966³ = 966 × 966 × 966 Step 2: You get 900,533,796 as the answer. Hence, the cube of 966 is 900,533,796.
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 966 into two parts, as 900 and 66. Let a = 900 and b = 66, so a + b = 966 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 900³ 3a²b = 3 × 900² × 66 3ab² = 3 × 900 × 66² b³ = 66³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (900 + 66)³ = 900³ + 3 × 900² × 66 + 3 × 900 × 66² + 66³ 966³ = 729,000,000 + 160,380,000 + 11,732,400 + 287,496 966³ = 900,533,796 Step 5: Hence, the cube of 966 is 900,533,796.
To find the cube of 966 using a calculator, input the number 966 and use the cube function (if available) or multiply 966 × 966 × 966. This operation calculates the value of 966³, resulting in 900,533,796. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Input 966 Step 3: If the calculator has a cube function, press it to calculate 966³. Step 4: If there is no cube function on the calculator, simply multiply 966 three times manually. Step 5: The calculator will display 900,533,796.
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 966?
The cube of 966 is 900,533,796 and the cube root of 966 is approximately 9.834.
First, let’s find the cube of 966. We know that the cube of a number x, such that x³ = y, where x is the given number, and y is the cubed value of that number. So, we get 966³ = 900,533,796. Next, we must find the cube root of 966. 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√966 ≈ 9.834. Hence the cube of 966 is 900,533,796 and the cube root of 966 is approximately 9.834.
If the side length of a cube is 966 cm, what is the volume?
The volume is 900,533,796 cm³.
Use the volume formula for a cube V = Side³. Substitute 966 for the side length: V = 966³ = 900,533,796 cm³.
How much larger is 966³ than 900³?
966³ – 900³ = 171,533,796.
First, find the cube of 966, which is 900,533,796. Next, find the cube of 900, which is 729,000,000. Now, find the difference between them using the subtraction method. 900,533,796 – 729,000,000 = 171,533,796. Therefore, 966³ is 171,533,796 larger than 900³.
If a cube with a side length of 966 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 966 cm is 900,533,796 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 966 means multiplying 966 by itself three times: 966 × 966 = 933,156, and then 933,156 × 966 = 900,533,796. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 900,533,796 cm³.
Estimate the cube of 965 using the cube of 966.
The cube of 965 is approximately 900,533,796.
First, identify the cube of 966, The cube of 966 is 966³ = 900,533,796. Since 965 is only a tiny bit less than 966, the cube of 965 will be almost the same as the cube of 966. The cube of 965 is approximately 900,533,796 because the difference between 965 and 966 is very small. So, we can approximate the value as 900,533,796.
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, which equals 8. Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number. It is the inverse operation of cubing a number. Perfect Cube: A perfect cube is 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.
: He loves to play the quiz with kids through algebra to make kids love it.