101 LearnersLast updated on May 26th, 2025
Cube of 359
When a number is multiplied by itself three times, 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 cubes of 359.
Cube of 359
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 359 can be written as 359³, which is the exponential form. Or it can also be written in arithmetic form as 359 × 359 × 359.
How to Calculate the Value of Cube of 359
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 factor formula (a³), or by using a calculator. These three methods will help students 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 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. 359³ = 359 × 359 × 359 Step 2: You get 46,305,679 as the answer. Hence, the cube of 359 is 46,305,679.
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 359 into two parts. Let a = 350 and b = 9, so a + b = 359 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 350³ 3a²b = 3 × 350² × 9 3ab² = 3 × 350 × 9² b³ = 9³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (350 + 9)³ = 350³ + 3 × 350² × 9 + 3 × 350 × 9² + 9³ 359³ = 42,875,000 + 3,307,500 + 85,050 + 729 359³ = 46,305,679 Step 5: Hence, the cube of 359 is 46,305,679.
Using a Calculator
To find the cube of 359 using a calculator, input the number 359 and use the cube function (if available) or multiply 359 × 359 × 359. This operation calculates the value of 359³, resulting in 46,305,679. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 3, 5, and 9 Step 3: If the calculator has a cube function, press it to calculate 359³. Step 4: If there is no cube function on the calculator, simply multiply 359 three times manually. Step 5: The calculator will display 46,305,679.
Tips and Tricks for the Cube of 359
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 359
There are some typical errors that students might make during the process of cubing a number. Let us take a look at five of the major mistakes that students might make:
Mistake 1
Incorrect Multiplication
Students might multiply the numbers only twice. That is, 359 × 359 and not 359 × 359 × 359. Always remember that 359³ = 359 × 359 × 359.
Solved Examples on Cube of 359
Problem 1
What is the cube and cube root of 359?
The cube of 359 is 46,305,679 and the cube root of 359 is approximately 7.097.
Explanation
First, let’s find the cube of 359. 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 359³ = 46,305,679 Next, we must find the cube root of 359. 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√359 ≈ 7.097 Hence, the cube of 359 is 46,305,679 and the cube root of 359 is approximately 7.097.
Problem 2
If the side length of the cube is 359 cm, what is the volume?
The volume is 46,305,679 cm³.
Explanation
Use the volume formula for a cube V = Side³. Substitute 359 for the side length: V = 359³ = 46,305,679 cm³.
Problem 3
How much larger is 359³ than 350³?
359³ – 350³ = 3,430,679.
Explanation
First, find the cube of 359³, which is 46,305,679. Next, find the cube of 350³, which is 42,875,000. Now, find the difference between them using the subtraction method. 46,305,679 – 42,875,000 = 3,430,679. Therefore, 359³ is 3,430,679 larger than 350³.
Problem 4
If a cube with a side length of 359 cm is compared to a cube with a side length of 9 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 359 cm is 46,305,679 cm³.
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 359 means multiplying 359 by itself three times: 359 × 359 = 128,881, and then 128,881 × 359 = 46,305,679. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 46,305,679 cm³.
Problem 5
Estimate the cube of 358.9 using the cube of 359.
The cube of 358.9 is approximately 46,305,679.
Explanation
First, identify the cube of 359. The cube of 359 is 359³ = 46,305,679. Since 358.9 is only a tiny bit less than 359, the cube of 358.9 will be almost the same as the cube of 359. The cube of 358.9 is approximately 46,305,679 because the difference between 358.9 and 359 is very small. So, we can approximate the value as 46,305,679.
FAQs on Cube of 359
1.What are the perfect cubes up to 359?
2.How do you calculate 359³?
3.What is the meaning of 359³?
4.What is the cube root of 359?
5.Is 359 a perfect cube?
6.How does learning Algebra help students in United States make better decisions in daily life?
7.How can cultural or local activities in United States support learning Algebra topics such as Cube of 359?
8.How do technology and digital tools in United States support learning Algebra and Cube of 359?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Cube of 359
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: It is the amount of space enclosed within the boundaries of a cube, calculated by raising the side length to the power of three. Perfect Cube: A number that can be expressed as the cube of an integer.
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Jaskaran Singh Saluja
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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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