Last updated on July 2nd, 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 cubes of 1375.
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 1375 can be written as 1375³, which is the exponential form.
Or it can also be written in arithmetic form as, 1375 × 1375 × 1375.
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 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
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. 1375³ = 1375 × 1375 × 1375
Step 2: You get 2,598,632,812.5 as the answer. Hence, the cube of 1375 is 2,598,632,812.5.
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 1375 into two parts, as 1000 and 375. Let a = 1000 and b = 375, so a + b = 1375
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³= 1000³ 3a²b = 3 × 1000² × 375 3ab² = 3 × 1000 × 375² b³ = 375³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1000 + 375)³ = 1000³ + 3 × 1000² × 375 + 3 × 1000 × 375² + 375³ 1375³ = 1,000,000,000 + 1,125,000,000 + 421,875,000 + 52,734,375 1375³ = 2,598,632,812.5
Step 5: Hence, the cube of 1375 is 2,598,632,812.5.
To find the cube of 1375 using a calculator, input the number 1375 and use the cube function (if available) or multiply 1375 × 1375 × 1375.
This operation calculates the value of 1375³, resulting in 2,598,632,812.5. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 1 followed by 3, 7, and 5
Step 3: If the calculator has a cube function, press it to calculate 1375³.
Step 4: If there is no cube function on the calculator, simply multiply 1375 three times manually.
Step 5: The calculator will display 2,598,632,812.5.
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.
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 1375?
The cube of 1375 is 2,598,632,812.5 and the cube root of 1375 is approximately 11.075.
First, let’s find the cube of 1375. We know that 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 1375³ = 2,598,632,812.5
Next, we must find the cube root of 1375 We know that the cube root of a number ‘x’, such that ³√x = y
Where ‘x’ is the given number, and y is the cube root value of the number So, we get ³√1375 ≈ 11.075 Hence the cube of 1375 is 2,598,632,812.5 and the cube root of 1375 is approximately 11.075.
If the side length of the cube is 1375 cm, what is the volume?
The volume is 2,598,632,812.5 cm³.
Use the volume formula for a cube V = Side³. Substitute 1375 for the side length: V = 1375³ = 2,598,632,812.5 cm³.
How much larger is 1375³ than 1000³?
1375³ – 1000³ = 1,598,632,812.5.
First find the cube of 1375, that is 2,598,632,812.5 Next, find the cube of 1000, which is 1,000,000,000
Now, find the difference between them using the subtraction method. 2,598,632,812.5 – 1,000,000,000 = 1,598,632,812.5
Therefore, 1375³ is 1,598,632,812.5 larger than 1000³.
If a cube with a side length of 1375 cm is compared to a cube with a side length of 375 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 1375 cm is 2,598,632,812.5 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 1375 means multiplying 1375 by itself three times: 1375 × 1375 = 1,890,625, and then 1,890,625 × 1375 = 2,598,632,812.5.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 2,598,632,812.5 cm³.
Estimate the cube of 1374.9 using the cube of 1375.
The cube of 1374.9 is approximately 2,598,632,812.5.
First, identify the cube of 1375, The cube of 1375 is 1375³ = 2,598,632,812.5.
Since 1374.9 is only a tiny bit less than 1375, the cube of 1374.9 will be almost the same as the cube of 1375.
The cube of 1374.9 is approximately 2,598,632,812.5 because the difference between 1374.9 and 1375 is very small.
So, we can approximate the value as 2,598,632,812.5.
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.