Last updated on June 7th, 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 783.
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 783 can be written as 783³, which is the exponential form. Or it can also be written in arithmetic form as, 783 × 783 × 783.
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.
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. 783³ = 783 × 783 × 783
Step 2: You get 480,637,587 as the answer. Hence, the cube of 783 is 480,637,587.
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 783 into two parts, as 700 and 83. Let a = 700 and b = 83, so a + b = 783
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × 83
3ab² = 3 × 700 × 83²
b³ = 83³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 83)³ = 700³ + 3 × 700² × 83 + 3 × 700 × 83² + 83³
783³ = 343,000,000 + 121,710,000 + 12,319,500 + 571,787
783³ = 480,637,587
Step 5: Hence, the cube of 783 is 480,637,587.
To find the cube of 783 using a calculator, input the number 783 and use the cube function (if available) or multiply 783 × 783 × 783. This operation calculates the value of 783³, resulting in 480,637,587. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 7 followed by 8 and 3
Step 3: If the calculator has a cube function, press it to calculate 783³.
Step 4: If there is no cube function on the calculator, simply multiply 783 three times manually.
Step 5: The calculator will display 480,637,587.
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 783?
The cube of 783 is 480,637,587 and the cube root of 783 is approximately 9.233.
First, let’s find the cube of 783.
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 783³ = 480,637,587
Next, we must find the cube root of 783 We know that 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√783 ≈ 9.233
Hence the cube of 783 is 480,637,587 and the cube root of 783 is approximately 9.233.
If the side length of the cube is 783 cm, what is the volume?
The volume is 480,637,587 cm³.
Use the volume formula for a cube V = Side³.
Substitute 783 for the side length: V = 783³ = 480,637,587 cm³.
How much larger is 783³ than 683³?
783³ – 683³ = 347,799,587.
First find the cube of 783, that is 480,637,587
Next, find the cube of 683, which is 132,838,000
Now, find the difference between them using the subtraction method. 480,637,587 – 132,838,000 = 347,799,587
Therefore, the 783³ is 347,799,587 larger than 683³.
If a cube with a side length of 783 cm is compared to a cube with a side length of 83 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 783 cm is 480,637,587 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 783 means multiplying 783 by itself three times: 783 × 783 = 613,089, and then 613,089 × 783 = 480,637,587.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 480,637,587 cm³.
Estimate the cube of 782.9 using the cube of 783.
The cube of 782.9 is approximately 480,637,587.
First, identify the cube of 783, The cube of 783 is 783³ = 480,637,587.
Since 782.9 is only a tiny bit less than 783, the cube of 782.9 will be almost the same as the cube of 783.
The cube of 782.9 is approximately 480,637,587 because the difference between 782.9 and 783 is very small.
So, we can approximate the value as 480,637,587.
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.