Last updated on June 30th, 2025
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 1295.
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 1295 can be written as 1295³, which is the exponential form.
Or it can also be written in arithmetic form as, 1295 × 1295 × 1295.
In order to check whether a number is a cube number or not, we can use the following three methods:
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 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. 1295³ = 1295 × 1295 × 1295
Step 2: You get 2,171,087,375 as the answer. Hence, the cube of 1295 is 2,171,087,375.
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 1295 into two parts. Let a = 1290 and b = 5, so a + b = 1295
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 1290³ 3a²b = 3 × 1290² × 5 3ab² = 3 × 1290 × 5² b³ = 5³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1290 + 5)³ = 1290³ + 3 × 1290² × 5 + 3 × 1290 × 5² + 5³ 1295³ = 2,144,049,000 + 249,150 + 96,750 + 125 1295³ = 2,171,087,375
Step 5: Hence, the cube of 1295 is 2,171,087,375.
To find the cube of 1295 using a calculator, input the number 1295 and use the cube function (if available) or multiply 1295 × 1295 × 1295.
This operation calculates the value of 1295³, resulting in 2,171,087,375.
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 2, 9, 5
Step 3: If the calculator has a cube function, press it to calculate 1295³.
Step 4: If there is no cube function on the calculator, simply multiply 1295 three times manually.
Step 5: The calculator will display 2,171,087,375.
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 1295?
The cube of 1295 is 2,171,087,375 and the cube root of 1295 is approximately 10.968.
First, let’s find the cube of 1295. We know that the cube of a number is such that x³ = y, where x is the given number, and y is the cubed value of that number.
So, we get 1295³ = 2,171,087,375.
Next, we must find the cube root of 1295.
We know that the cube root of a number ‘x’ is such that ∛x = y, where ‘x’ is the given number, and y is the cube root value of the number.
So, we approximate ∛1295 ≈ 10.968. Hence, the cube of 1295 is 2,171,087,375 and the cube root of 1295 is approximately 10.968.
If the side length of a cube is 1295 cm, what is the volume?
The volume is 2,171,087,375 cm³.
Use the volume formula for a cube V = Side³. Substitute 1295 for the side length: V = 1295³ = 2,171,087,375 cm³.
How much larger is 1295³ than 1000³?
1295³ – 1000³ = 2,171,087,375 – 1,000,000,000 = 1,171,087,375.
First, find the cube of 1295, that is 2,171,087,375.
Next, find the cube of 1000, which is 1,000,000,000.
Now, find the difference between them using the subtraction method. 2,171,087,375 – 1,000,000,000 = 1,171,087,375. Therefore, 1295³ is 1,171,087,375 larger than 1000³.
If a cube with a side length of 1295 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 1295 cm is 2,171,087,375 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 1295 means multiplying 1295 by itself three times: 1295 × 1295 = 1,677,025, and then 1,677,025 × 1295 = 2,171,087,375.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 2,171,087,375 cm³.
Estimate the cube of 1294 using the cube of 1295.
The cube of 1294 is approximately 2,171,087,375.
First, identify the cube of 1295: The cube of 1295 is 1295³ = 2,171,087,375. Since 1294 is only slightly less than 1295, the cube of 1294 will be almost the same as the cube of 1295.
The cube of 1294 is approximately 2,171,087,375 because the difference between 1294 and 1295 is very small.
So, we can approximate the value as 2,171,087,375.
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.