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Last updated on May 27th, 2025

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Cube of 958

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When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used when comparing the sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 958.

Cube of 958 for UK Students
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Cube of 958

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 958 can be written as 958³, which is the exponential form. Or it can also be written in arithmetic form as, 958 × 958 × 958.

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How to Calculate the Value of Cube of 958

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 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

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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. 958³ = 958 × 958 × 958 Step 2: You get 879,512,552 as the answer. Hence, the cube of 958 is 879,512,552.

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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 958 into two parts, as a and b. Let a = 900 and b = 58, so a + b = 958 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term: a³ = 900³ 3a²b = 3 × 900² × 58 3ab² = 3 × 900 × 58² b³ = 58³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (900 + 58)³ = 900³ + 3 × 900² × 58 + 3 × 900 × 58² + 58³ Step 5: Hence, the cube of 958 is 879,512,552.

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Using a Calculator

To find the cube of 958 using a calculator, input the number 958 and use the cube function (if available) or multiply 958 × 958 × 958. This operation calculates the value of 958³, resulting in 879,512,552. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 9, then 5, then 8. Step 3: If the calculator has a cube function, press it to calculate 958³. Step 4: If there is no cube function on the calculator, simply multiply 958 three times manually. Step 5: The calculator will display 879,512,552.

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Tips and Tricks for the Cube of 958

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.

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Common Mistakes to Avoid When Calculating the Cube of 958

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

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Incorrect Multiplication

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Kids might multiply the numbers only twice. That is, 958 × 958 and not 958 × 958 × 958. Always remember that 958³ = 958 × 958 × 958.

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Solved Examples on Cube of 958

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Problem 1

What is the cube and cube root of 958?

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The cube of 958 is 879,512,552 and the cube root of 958 is approximately 9.798.

Explanation

First, let’s find the cube of 958. 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 958³ = 879,512,552 Next, we must find the cube root of 958 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 ∛958 ≈ 9.798 Hence the cube of 958 is 879,512,552 and the cube root of 958 is approximately 9.798.

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Problem 2

If the side length of the cube is 958 cm, what is the volume?

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The volume is 879,512,552 cm³.

Explanation

Use the volume formula for a cube V = Side³. Substitute 958 for the side length: V = 958³ = 879,512,552 cm³.

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Problem 3

How much larger is 958³ than 900³?

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958³ – 900³ = 377,512,552.

Explanation

First find the cube of 958³, that is 879,512,552 Next, find the cube of 900³, which is 729,000,000 Now, find the difference between them using the subtraction method. 879,512,552 – 729,000,000 = 150,512,552 Therefore, 958³ is 150,512,552 larger than 900³.

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Problem 4

If a cube with a side length of 958 cm is compared to a cube with a side length of 58 cm, how much larger is the volume of the larger cube?

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The volume of the cube with a side length of 958 cm is 879,512,552 cm³.

Explanation

To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 958 means multiplying 958 by itself three times: 958 × 958 = 917,764, and then 917,764 × 958 = 879,512,552. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 879,512,552 cm³.

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Problem 5

Estimate the cube of 957 using the cube of 958.

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The cube of 957 is approximately 879,512,552.

Explanation

First, identify the cube of 958, The cube of 958 is 958³ = 879,512,552. Since 957 is only slightly less than 958, the cube of 957 will be almost the same as the cube of 958. The cube of 957 is approximately 879,512,552 because the difference between 957 and 958 is very small. So, we can approximate the value as 879,512,552.

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FAQs on Cube of 958

1.What are the perfect cubes up to 958?

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2.How do you calculate 958³?

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3.What is the meaning of 958³?

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4.What is the cube root of 958?

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5.Is 958 a perfect cube?

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6.How does learning Algebra help students in United Kingdom make better decisions in daily life?

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7.How can cultural or local activities in United Kingdom support learning Algebra topics such as Cube of 958?

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8.How do technology and digital tools in United Kingdom support learning Algebra and Cube of 958?

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9.Does learning Algebra support future career opportunities for students in United Kingdom?

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Important Glossaries for Cube of 958

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. Perfect Cube: A number that can be expressed as the cube of an integer. Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number.

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About BrightChamps in United Kingdom

At BrightChamps, we know algebra is more than just figures—it’s a doorway to endless opportunities! Our mission is to help children across the United Kingdom grasp vital math skills, like today’s spotlight on the Cube of 958, with an exciting focus on understanding cubes—in a lively, straightforward, and enjoyable way. Whether your child is figuring out the speed of a roller coaster at Alton Towers, keeping score at a local football match, or managing pocket money for the latest gadgets, mastering algebra gives them the confidence to face everyday challenges. Our interactive sessions keep learning fun and simple. Because children in the UK have different ways of learning, we adapt our approach to fit their unique styles. From London’s busy streets to the scenic Cornwall coast, BrightChamps makes algebra relatable and thrilling throughout the UK. Let’s turn cubes into a fun part of every child’s math adventure!
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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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Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.

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