102 LearnersLast updated on June 22nd, 2025
Cube of 1117
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 cubes of 1117.
Cube of 1117
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 1117 can be written as 1117³, which is the exponential form. Or it can also be written in arithmetic form as 1117 × 1117 × 1117.
How to Calculate the Value of Cube of 1117
To determine whether a number is a cube number or not, we can use the following three methods: multiplication method, a cube formula (a³), or by using a calculator. These three methods help in cubing 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. 1117³ = 1117 × 1117 × 1117
Step 2: You get 1,394,848,913 as the answer. Hence, the cube of 1117 is 1,394,848,913.
Using a Formula (a³)
The formula for finding the cube of a number is a³. If needed, you can split the number and use binomial expansion, but here we will directly cube it.
Step 1: Apply the formula a³ a³ = 1117³
Step 2: Calculate the value 1117³ = 1117 × 1117 × 1117 = 1,394,848,913
Step 3: Hence, the cube of 1117 is 1,394,848,913.
Using a Calculator
To find the cube of 1117 using a calculator, input the number 1117 and use the cube function (if available) or multiply 1117 × 1117 × 1117. This operation calculates the value of 1117³, resulting in 1,394,848,913. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Enter 1117.
Step 3: If the calculator has a cube function, press it to calculate 1117³.
Step 4: If there is no cube function on the calculator, simply multiply 1117 three times manually.
Step 5: The calculator will display 1,394,848,913.
Tips and Tricks for the Cube of 1117
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 1117
There are some typical errors that might occur during the process of cubing a number. Let us take a look at five of the major mistakes that might happen:
Mistake 1
Incorrect Multiplication
One might multiply the numbers only twice. That is, 1117 × 1117 and not 1117 × 1117 × 1117. Always remember that 1117³ = 1117 × 1117 × 1117.
Mistake 2
Misunderstanding the Cube Formula
There is a possibility of confusion between the formulas of square numbers and cube numbers. The square number formula is a² and the cube number formula is a³. Always review the formula to differentiate between squaring and cubing.
Mistake 3
Calculator Misuse
There might be errors in pressing the wrong buttons, such as using the square (x²) function instead of the cube (x³) function or skipping steps in manual multiplication. Always double-check your inputs on the calculator, and if it lacks a cube function, perform the multiplication in steps.
Mistake 4
Misplacing Zeros
Misplacing zeros during manual multiplication leads to incorrect results. Always double-check the calculations to ensure accuracy.
Mistake 5
Ignoring Direct Cubing
One might attempt unnecessary splitting of the number instead of applying direct multiplication. To avoid this, practice direct multiplication for large numbers.
Solved Examples on Cube of 1117
Problem 1
What is the cube and cube root of 1117?
The cube of 1117 is 1,394,848,913 and the cube root of 1117 is approximately 10.6.
Explanation
First, let’s find the cube of 1117. 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 1117³ = 1,394,848,913
Next, we must find the cube root of 1117 We know that the cube root of a number ‘x’, such that ∛x = y Where ‘x’ is the given number, and y is the cube root value of the number So, we get ∛1117 ≈ 10.6
Hence, the cube of 1117 is 1,394,848,913 and the cube root of 1117 is approximately 10.6.
Problem 2
If the side length of the cube is 1117 cm, what is the volume?
The volume is 1,394,848,913 cm³.
Explanation
Use the volume formula for a cube V = Side³. Substitute 1117 for the side length: V = 1117³ = 1,394,848,913 cm³.
Problem 3
How much larger is 1117³ than 1017³?
1117³ – 1017³ = 603,851,913.
Explanation
First find the cube of 1117, which is 1,394,848,913.
Next, find the cube of 1017, which is 790,997,000. Now, find the difference between them using the subtraction method. 1,394,848,913 – 790,997,000 = 603,851,913.
Therefore, 1117³ is 603,851,913 larger than 1017³.
Problem 4
If a cube with a side length of 1117 cm is compared to a cube with a side length of 117 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 1117 cm is 1,394,848,913 cm³.
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 1117 means multiplying 1117 by itself three times: 1117 × 1117 = 1,247,689, and then 1,247,689 × 1117 = 1,394,848,913.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 1,394,848,913 cm³.
Problem 5
Estimate the cube 1100 using the cube 1117.
The cube of 1100 is approximately 1,331,000,000.
Explanation
First, identify the cube of 1117, The cube of 1117 is 1,394,848,913.
Since 1100 is close to 1117, the cube of 1100 will be slightly less than the cube of 1117. To approximate, cube 1100: 1100³ = 1,331,000,000.
So, the value is approximately 1,331,000,000.
FAQs on Cube of 1117
1.What are the perfect cubes up to 1117?
2.How do you calculate 1117³?
3.What does 1117³ mean?
4.What is the cube root of 1117?
5.Is 1117 a perfect cube?
6.How does learning Algebra help students in Canada make better decisions in daily life?
7.How can cultural or local activities in Canada support learning Algebra topics such as Cube of 1117?
8.How do technology and digital tools in Canada support learning Algebra and Cube of 1117?
9.Does learning Algebra support future career opportunities for students in Canada?
Important Glossaries for Cube of 1117
- 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.
- Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number.
- Perfect Cube: A number that can be expressed as the cube of an integer.
- Volume of a Cube: The volume of a cube is found by cubing the length of one of its sides.
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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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