Last updated on June 3rd, 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.
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.
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.
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.
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.
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.
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:
What is the cube and cube root of 275?
The cube of 275 is 20,796,875 and the cube root of 275 is approximately 6.512.
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.
If the side length of the cube is 275 cm, what is the volume?
The volume is 20,796,875 cm³.
Use the volume formula for a cube V = Side³.
Substitute 275 for the side length: V = 275³ = 20,796,875 cm³.
How much larger is 275³ than 270³?
275³ – 270³ = 1,093,875.
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.
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?
The volume of the cube with a side length of 275 cm is 20,796,875 cm³.
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.
Estimate the cube of 274.9 using the cube of 275.
The cube of 274.9 is approximately 20,796,875.
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.
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.
: He loves to play the quiz with kids through algebra to make kids love it.