Cube of 275
2026-02-28 17:58 Diff
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Last updated on August 5, 2025

When a number is multiplied by itself thrice, 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 the cube of 275.

Cube of 275

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 275 can be written as 275³, which is the exponential form.

Or it can also be written in arithmetic form as 275 × 275 × 275.

How to Calculate the Value of Cube of 275

To determine whether a number is a cube number, we can use the following three methods: multiplication method, a factor formula (a³), or by using a calculator. These methods will help calculate cubes faster and easier without confusion or being 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. 275³ = 275 × 275 × 275

Step 2: Calculate the result, which is 20,796,875. Hence, the cube of 275 is 20,796,875.

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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 275 into two parts, such as a = 270 and b = 5, so a + b = 275.

Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³.

Step 3: Calculate each term: a³ = 270³ 3a²b = 3 × 270² × 5 3ab² = 3 × 270 × 5² b³ = 5³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (270 + 5)³ = 270³ + 3 × 270² × 5 + 3 × 270 × 5² + 5³ 275³ = 19,683,000 + 109,350 + 20,250 + 125 275³ = 20,796,875

Step 5: Hence, the cube of 275 is 20,796,875.

Using a Calculator

To find the cube of 275 using a calculator, input the number 275 and use the cube function (if available) or multiply 275 × 275 × 275. This operation calculates the value of 275³, resulting in 20,796,875. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 2 followed by 7 and 5.

Step 3: If the calculator has a cube function, press it to calculate 275³.

Step 4: If there is no cube function on the calculator, simply multiply 275 three times manually.

Step 5: The calculator will display 20,796,875.

Tips and Tricks for the Cube of 275

  • 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 275

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:

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Problem 1

What is the cube and cube root of 275?

Okay, lets begin

The cube of 275 is 20,796,875 and the cube root of 275 is approximately 6.512.

Explanation

First, let’s find the cube of 275.

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 275³ = 20,796,875.

Next, we must find the cube root of 275.

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 ∛275 ≈ 6.512.

Hence the cube of 275 is 20,796,875 and the cube root of 275 is approximately 6.512.

Well explained 👍

Problem 2

If the side length of the cube is 275 cm, what is the volume?

Okay, lets begin

The volume is 20,796,875 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 275 for the side length: V = 275³ = 20,796,875 cm³.

Well explained 👍

Problem 3

How much larger is 275³ than 270³?

Okay, lets begin

275³ – 270³ = 1,093,875.

Explanation

First, find the cube of 275³, which is 20,796,875.

Next, find the cube of 270³, which is 19,683,000.

Now, find the difference between them using the subtraction method. 20,796,875 – 19,683,000 = 1,113,875.

Therefore, 275³ is 1,113,875 larger than 270³.

Well explained 👍

Problem 4

If a cube with a side length of 275 cm is compared to a cube with a side length of 5 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 275 cm is 20,796,875 cm³.

Explanation

To find its volume, multiply the side length by itself three times (since it’s a 3-dimensional object).

Cubing 275 means multiplying 275 by itself three times: 275 × 275 = 75,625, and then 75,625 × 275 = 20,796,875.

The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.

Therefore, the volume of the cube is 20,796,875 cm³.

Well explained 👍

Problem 5

Estimate the cube of 274.9 using the cube of 275.

Okay, lets begin

The cube of 274.9 is approximately 20,796,875.

Explanation

First, identify the cube of 275,

The cube of 275 is 275³ = 20,796,875.

Since 274.9 is only a tiny bit less than 275, the cube of 274.9 will be almost the same as the cube of 275.

The cube of 274.9 is approximately 20,796,875 because the difference between 274.9 and 275 is very small.

So, we can approximate the value as 20,796,875.

Well explained 👍

FAQs on Cube of 275

1.What are the perfect cubes up to 275?

The perfect cubes up to 275 are 1, 8, 27, 64, 125, and 216.

2.How do you calculate 275³?

To calculate 275³, use the multiplication method: 275 × 275 × 275, which equals 20,796,875.

3.What is the meaning of 275³?

275³ means multiplying 275 by itself three times, or 275 × 275 × 275.

4.What is the cube root of 275?

5.Is 275 a perfect cube?

No, 275 is not a perfect cube because no integer multiplied by itself three times equals 275.

Important Glossaries for Cube of 275

  • 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 is the cube of an integer.
     
  • Cube Root: The number that produces a given number when cubed, denoted as ∛x.

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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.