100 LearnersLast updated on May 27th, 2025
Cube of 934
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 934.
Cube of 934
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 934 can be written as 934³, which is the exponential form. Or it can also be written in arithmetic form as, 934 × 934 × 934.
How to Calculate the Value of Cube of 934
In order to check whether a number is a cube number or not, we can use the following three methods, such as multiplication method, a factor formula (a³), or by using a calculator. These three methods will help you 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. 934³ = 934 × 934 × 934 Step 2: You get 814,011,304 as the answer. Hence, the cube of 934 is 814,011,304.
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 934 into two parts. Let a = 900 and b = 34, so a + b = 934 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 900³ 3a²b = 3 × 900² × 34 3ab² = 3 × 900 × 34² b³ = 34³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (900 + 34)³ = 900³ + 3 × 900² × 34 + 3 × 900 × 34² + 34³ 934³ = 729000000 + 82620000 + 3110400 + 39304 934³ = 814,011,304 Step 5: Hence, the cube of 934 is 814,011,304.
Using a Calculator
To find the cube of 934 using a calculator, input the number 934 and use the cube function (if available) or multiply 934 × 934 × 934. This operation calculates the value of 934³, resulting in 814,011,304. 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 3, and 4 Step 3: If the calculator has a cube function, press it to calculate 934³. Step 4: If there is no cube function on the calculator, simply multiply 934 three times manually. Step 5: The calculator will display 814,011,304.
Tips and Tricks for the Cube of 934
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 934
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, 934 × 934 and not 934 × 934 × 934. Always remember that 934³ = 934 × 934 × 934.
Solved Examples on Cube of 934
Problem 1
What is the cube and cube root of 934?
The cube of 934 is 814,011,304 and the cube root of 934 is approximately 9.729.
Explanation
First, let’s find the cube of 934. We know that the cube of a number is x³ = y, where x is the given number, and y is the cubed value of that number. So, we get 934³ = 814,011,304. Next, we must find the cube root of 934. 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 ∛934 ≈ 9.729. Hence, the cube of 934 is 814,011,304 and the cube root of 934 is approximately 9.729.
Problem 2
If the side length of the cube is 934 cm, what is the volume?
The volume is 814,011,304 cm³.
Explanation
Use the volume formula for a cube V = Side³. Substitute 934 for the side length: V = 934³ = 814,011,304 cm³.
Problem 3
How much larger is 934³ than 900³?
934³ – 900³ = 85,011,304.
Explanation
First, find the cube of 934, which is 814,011,304. Next, find the cube of 900, which is 729,000,000. Now, find the difference between them using the subtraction method. 814,011,304 – 729,000,000 = 85,011,304. Therefore, 934³ is 85,011,304 larger than 900³.
Problem 4
If a cube with a side length of 934 cm is compared to a cube with a side length of 34 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 934 cm is 814,011,304 cm³.
Explanation
To find its volume, multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 934 means multiplying 934 by itself three times: 934 × 934 = 872,356, and then 872,356 × 934 = 814,011,304. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 814,011,304 cm³.
Problem 5
Estimate the cube of 933.5 using the cube of 934.
The cube of 933.5 is approximately 814,011,304.
Explanation
First, identify the cube of 934, The cube of 934 is 934³ = 814,011,304. Since 933.5 is only a tiny bit less than 934, the cube of 933.5 will be almost the same as the cube of 934. The cube of 933.5 is approximately 814,011,304 because the difference between 933.5 and 934 is very small. So, we can approximate the value as 814,011,304.
FAQs on Cube of 934
1.What are the perfect cubes up to 934?
2.How do you calculate 934³?
3.What is the meaning of 934³?
4.What is the cube root of 934?
5.Is 934 a perfect cube?
6.How does learning Algebra help students in Singapore make better decisions in daily life?
7.How can cultural or local activities in Singapore support learning Algebra topics such as Cube of 934?
8.How do technology and digital tools in Singapore support learning Algebra and Cube of 934?
9.Does learning Algebra support future career opportunities for students in Singapore?
Important Glossaries for Cube of 934
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. Perfect Cube: A number that can be expressed as the cube of an integer. Volume of a Cube: The amount of space inside a cube, calculated using the formula V = Side³, where "Side" refers to the length of one side of the cube.
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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.
Fun Fact
: He loves to play the quiz with kids through algebra to make kids love it.
