102 LearnersLast updated on May 27th, 2025
Cube of 962
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 962.
Cube of 962
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 962 can be written as 962³, which is the exponential form. Or it can also be written in arithmetic form as 962 × 962 × 962.
How to Calculate the Value of Cube of 962
In order to check whether a number is a cube number or not, we can use the following three methods, such as the multiplication method, a 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
By Multiplication Method
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. 962³ = 962 × 962 × 962 Step 2: You get 889,188,928 as the answer. Hence, the cube of 962 is 889,188,928.
Using a Formula (a³)
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 962 into two parts, as needed. Let a = 900 and b = 62, so a + b = 962. Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³. Step 3: Calculate each term a³ = 900³ 3a²b = 3 × 900² × 62 3ab² = 3 × 900 × 62² b³ = 62³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (900 + 62)³ = 900³ + 3 × 900² × 62 + 3 × 900 × 62² + 62³ 962³ = 729,000,000 + 150,372,000 + 10,395,600 + 238,328 962³ = 889,188,928 Step 5: Hence, the cube of 962 is 889,188,928.
Using a Calculator
To find the cube of 962 using a calculator, input the number 962 and use the cube function (if available) or multiply 962 × 962 × 962. This operation calculates the value of 962³, resulting in 889,188,928. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Enter 962. Step 3: If the calculator has a cube function, press it to calculate 962³. Step 4: If there is no cube function on the calculator, simply multiply 962 three times manually. Step 5: The calculator will display 889,188,928.
Tips and Tricks for the Cube of 962
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.
Common Mistakes to Avoid When Calculating the Cube of 962
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:
Mistake 1
Incorrect Multiplication
Kids might multiply the numbers only twice. That is, 962 × 962 and not 962 × 962 × 962. Always remember that 962³ = 962 × 962 × 962.
Solved Examples on Cube of 962
Problem 1
What is the cube and cube root of 962?
The cube of 962 is 889,188,928 and the cube root of 962 is approximately 9.834.
Explanation
First, let’s find the cube of 962. We know that 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 962³ = 889,188,928. Next, we must find the cube root of 962. 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√962 ≈ 9.834. Hence, the cube of 962 is 889,188,928 and the cube root of 962 is approximately 9.834.
Problem 2
If the side length of the cube is 962 cm, what is the volume?
The volume is 889,188,928 cm³.
Explanation
Use the volume formula for a cube V = Side³. Substitute 962 for the side length: V = 962³ = 889,188,928 cm³.
Problem 3
How much larger is 962³ than 900³?
962³ – 900³ = 160,188,928.
Explanation
First, find the cube of 962³, which is 889,188,928. Next, find the cube of 900³, which is 729,000,000. Now, find the difference between them using the subtraction method. 889,188,928 – 729,000,000 = 160,188,928. Therefore, 962³ is 160,188,928 larger than 900³.
Problem 4
If a cube with a side length of 962 cm is compared to a cube with a side length of 62 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 962 cm is 889,188,928 cm³.
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 962 means multiplying 962 by itself three times: 962 × 962 = 925,444, and then 925,444 × 962 = 889,188,928. The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube. Therefore, the volume of the cube is 889,188,928 cm³.
Problem 5
Estimate the cube of 961 using the cube of 962.
The cube of 961 is approximately 889,188,928.
Explanation
First, identify the cube of 962. The cube of 962 is 962³ = 889,188,928. Since 961 is only a tiny bit less than 962, the cube of 961 will be almost the same as the cube of 962. The cube of 961 is approximately 889,188,928 because the difference between 961 and 962 is very small. So, we can approximate the value as 889,188,928.
FAQs on Cube of 962
1.What are the perfect cubes up to 962?
2.How do you calculate 962³?
3.What is the meaning of 962³?
4.What is the cube root of 962?
5.Is 962 a perfect cube?
6.How does learning Algebra help students in Vietnam make better decisions in daily life?
7.How can cultural or local activities in Vietnam support learning Algebra topics such as Cube of 962?
8.How do technology and digital tools in Vietnam support learning Algebra and Cube of 962?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Cubes
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 amount of space inside a cube, calculated as the side length raised to the power of three (Side³). Perfect Cube: A number that can be expressed as the cube of an integer.
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Jaskaran Singh Saluja
About the Author
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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: He loves to play the quiz with kids through algebra to make kids love it.
