100 LearnersLast updated on June 5th, 2025
Cube of 758
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 758.
Cube of 758
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 758 can be written as 7583, which is the exponential form. Or it can also be written in arithmetic form as, 758 × 758 × 758.
How to Calculate the Value of Cube of 758
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 \(a^3\), 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. \(758^3 = 758 × 758 × 758\) Step 2: You get 435,818,152 as the answer. Hence, the cube of 758 is 435,818,152.
Using a Formula (a^3)
The formula \((a + b)^3\) is a binomial formula for finding the cube of a number. The formula is expanded as \(a^3 + 3a^2b + 3ab^2 + b^3\). Step 1: Split the number 758 into two parts, as 750 and 8. Let \(a = 750\) and \(b = 8\), so \(a + b = 758\) Step 2: Now, apply the formula \((a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3\) Step 3: Calculate each term \(a^3= 750^3\) \(3a^2b = 3 × 750^2 × 8\) \(3ab^2 = 3 × 750 × 8^2\) \(b^3 = 8^3\) Step 4: Add all the terms together: \((a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3\) \((750 + 8)^3= 750^3 + 3 × 750^2 × 8 + 3 × 750 × 8^2 + 8^3\) \(758^3 = 421,875,000 + 135,000 + 36,000 + 512\) \(758^3 = 435,818,152\) Step 5: Hence, the cube of 758 is 435,818,152.
Using a Calculator
To find the cube of 758 using a calculator, input the number 758 and use the cube function (if available) or multiply 758 × 758 × 758. This operation calculates the value of \(758^3\), resulting in 435,818,152. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 7 followed by 5 and 8 Step 3: If the calculator has a cube function, press it to calculate \(758^3\). Step 4: If there is no cube function on the calculator, simply multiply 758 three times manually. Step 5: The calculator will display 435,818,152.
Tips and Tricks for the Cube of 758
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 758
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, 758 × 758 and not 758 × 758 × 758. Always remember that \(758^3 = 758 × 758 × 758\).
Solved Examples on Cube of 758
Problem 1
What is the cube and cube root of 758?
The cube of 758 is 435,818,152 and the cube root of 758 is approximately 9.147.
Explanation
First, let’s find the cube of 758. We know that the cube of a number is such that \(x^3 = y\) Where \(x\) is the given number, and \(y\) is the cubed value of that number So, we get \(758^3 = 435,818,152\) Next, we must find the cube root of 758 We know that the cube root of a number ‘x’ is such that \(\sqrt[3]{x} = y\) Where ‘x’ is the given number, and \(y\) is the cube root value of the number So, we get \(\sqrt[3]{758} ≈ 9.147\) Hence, the cube of 758 is 435,818,152 and the cube root of 758 is approximately 9.147.
Problem 2
If the side length of the cube is 758 cm, what is the volume?
The volume is 435,818,152 cm³.
Explanation
Use the volume formula for a cube \(V = \text{Side}^3\). Substitute 758 for the side length: \(V = 758^3 = 435,818,152\) cm³.
Problem 3
How much larger is \(758^3\) than \(750^3\)?
\(758^3 - 750^3 = 13,943,152\).
Explanation
First, find the cube of 758, which is 435,818,152. Next, find the cube of 750, which is 421,875,000. Now, find the difference between them using the subtraction method. 435,818,152 - 421,875,000 = 13,943,152 Therefore, \(758^3\) is 13,943,152 larger than \(750^3\).
Problem 4
If a cube with a side length of 758 cm is compared to a cube with a side length of 8 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 758 cm is 435,818,152 cm³.
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 758 means multiplying 758 by itself three times: 758 × 758 × 758 = 435,818,152. The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube. Therefore, the volume of the cube is 435,818,152 cm³.
Problem 5
Estimate the cube of 757 using the cube of 758.
The cube of 757 is approximately 435,818,152.
Explanation
First, identify the cube of 758, The cube of 758 is \(758^3 = 435,818,152\). Since 757 is only a tiny bit less than 758, the cube of 757 will be almost the same as the cube of 758. The cube of 757 is approximately 435,818,152 because the difference between 757 and 758 is very small. So, we can approximate the value as 435,818,152.
FAQs on Cube of 758
1.What are the perfect cubes up to 758?
2.How do you calculate \(758^3\)?
3.What is the meaning of \(758^3\)?
4.What is the cube root of 758?
5.Is 758 a perfect cube?
6.How does learning Algebra help students in Oman make better decisions in daily life?
7.How can cultural or local activities in Oman support learning Algebra topics such as Cube of 758?
8.How do technology and digital tools in Oman support learning Algebra and Cube of 758?
9.Does learning Algebra support future career opportunities for students in Oman?
Important Glossaries for Cube of 758
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, \(2^3\) represents 2 × 2 × 2 equals 8. Volume of a Cube: It is the amount of space contained within a cube, calculated as the side length raised to the third power. 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.
