101 LearnersLast updated on May 27th, 2025
Cube of 946
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 946.
Cube of 946
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 946 can be written as 946³, which is the exponential form. Or it can also be written in arithmetic form as 946 × 946 × 946.
How to Calculate the Value of Cube of 946
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
By Multiplication Method
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. 946³ = 946 × 946 × 946 Step 2: Calculate the product to get the answer. Hence, the cube of 946 is 847,072,936.
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 946 into two parts. Let a = 900 and b = 46, so a + b = 946 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term: a³ = 900³ 3a²b = 3 × 900² × 46 3ab² = 3 × 900 × 46² b³ = 46³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (900 + 46)³ = 900³ + 3 × 900² × 46 + 3 × 900 × 46² + 46³ Calculate each part and sum them to find 946³ = 847,072,936. Step 5: Hence, the cube of 946 is 847,072,936.
Using a Calculator
To find the cube of 946 using a calculator, input the number 946 and use the cube function (if available) or multiply 946 × 946 × 946. This operation calculates the value of 946³, resulting in 847,072,936. 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 4 and 6. Step 3: If the calculator has a cube function, press it to calculate 946³. Step 4: If there is no cube function on the calculator, simply multiply 946 three times manually. Step 5: The calculator will display 847,072,936.
Tips and Tricks for the Cube of 946
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 946
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, 946 × 946 and not 946 × 946 × 946. Always remember that 946³ = 946 × 946 × 946.
Solved Examples on Cube of 946
Problem 1
What is the cube and cube root of 946?
The cube of 946 is 847,072,936 and the cube root of 946 is approximately 9.784.
Explanation
First, let’s find the cube of 946. We know that the cube of a number is calculated as x³ = y, where x is the given number, and y is the cubed value of that number. So, we get 946³ = 847,072,936. Next, we must find the cube root of 946. 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 √946 ≈ 9.784. Hence, the cube of 946 is 847,072,936 and the cube root of 946 is approximately 9.784.
Problem 2
If the side length of a cube is 946 cm, what is the volume?
The volume is 847,072,936 cm³.
Explanation
Use the volume formula for a cube V = Side³. Substitute 946 for the side length: V = 946³ = 847,072,936 cm³.
Problem 3
How much larger is 946³ than 500³?
946³ – 500³ = 722,072,936.
Explanation
First, find the cube of 946, which is 847,072,936. Next, find the cube of 500, which is 125,000,000. Now, find the difference between them using the subtraction method. 847,072,936 – 125,000,000 = 722,072,936. Therefore, 946³ is 722,072,936 larger than 500³.
Problem 4
If a cube with a side length of 946 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 946 cm is 847,072,936 cm³.
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 946 means multiplying 946 by itself three times: 946 × 946 = 894,916, and then 894,916 × 946 = 847,072,936. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 847,072,936 cm³.
Problem 5
Estimate the cube of 945 using the cube of 946.
The cube of 945 is approximately 847,072,936.
Explanation
First, identify the cube of 946, The cube of 946 is 946³ = 847,072,936. Since 945 is only a tiny bit less than 946, the cube of 945 will be almost the same as the cube of 946. The cube of 945 is approximately 847,072,936 because the difference between 945 and 946 is very small. So, we can approximate the value as 847,072,936.
FAQs on Cube of 946
1.What are the perfect cubes up to 946?
2.How do you calculate 946³?
3.What is the meaning of 946³?
4.What is the cube root of 946?
5.Is 946 a perfect cube?
6.How does learning Algebra help students in Australia make better decisions in daily life?
7.How can cultural or local activities in Australia support learning Algebra topics such as Cube of 946?
8.How do technology and digital tools in Australia support learning Algebra and Cube of 946?
9.Does learning Algebra support future career opportunities for students in Australia?
Important Glossaries for Cube of 946
Binomial Formula: An algebraic expression used to expand powers of a number, written as (a + b)ⁿ, where ‘n’ is a positive integer. The formula is used to find the powers of numbers. 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, 3³ represents 3 × 3 × 3 equals 27. Perfect Cube: A number that can be expressed as the product of three identical integers. For example, 8 is a perfect cube because it equals 2 × 2 × 2. Volume of a Cube: The space occupied by a cube, calculated by cubing its side length, expressed in cubic units.
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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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