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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 788.
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 788 can be written as 788³, which is the exponential form. Or it can also be written in arithmetic form as, 788 × 788 × 788.
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.
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. 788³ = 788 × 788 × 788
Step 2: You get 489,278,272 as the answer. Hence, the cube of 788 is 489,278,272.
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 788 into two parts, such as 700 and 88. Let a = 700 and b = 88, so a + b = 788
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × 88
3ab² = 3 × 700 × 88²
b³ = 88³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 88)³ = 700³ + 3 × 700² × 88 + 3 × 700 × 88² + 88³
788³ = 343,000,000 + 129,360,000 + 16,368,000 + 681,472
788³ = 489,278,272
Step 5: Hence, the cube of 788 is 489,278,272.
To find the cube of 788 using a calculator, input the number 788 and use the cube function (if available) or multiply 788 × 788 × 788. This operation calculates the value of 788³, resulting in 489,278,272. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 7, 8, 8.
Step 3: If the calculator has a cube function, press it to calculate 788³.
Step 4: If there is no cube function on the calculator, simply multiply 788 three times manually.
Step 5: The calculator will display 489,278,272.
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 788?
The cube of 788 is 489,278,272 and the cube root of 788 is approximately 9.278.
First, let’s find the cube of 788.
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 788³ = 489,278,272
Next, we must find the cube root of 788
We know that 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 ∛788 ≈ 9.278
Hence the cube of 788 is 489,278,272 and the cube root of 788 is approximately 9.278.
If the side length of the cube is 788 cm, what is the volume?
The volume is 489,278,272 cm³.
Use the volume formula for a cube V = Side³.
Substitute 788 for the side length: V = 788³ = 489,278,272 cm³.
How much larger is 788³ than 700³?
788³ – 700³ = 146,278,272.
First find the cube of 788³, that is 489,278,272
Next, find the cube of 700³, which is 343,000,000
Now, find the difference between them using the subtraction method. 489,278,272 – 343,000,000 = 146,278,272
Therefore, the cube 788³ is 146,278,272 larger than 700³.
If a cube with a side length of 788 cm is compared to a cube with a side length of 88 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 788 cm is 489,278,272 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 788 means multiplying 788 by itself three times: 788 × 788 = 620,944, and then 620,944 × 788 = 489,278,272.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 489,278,272 cm³.
Estimate the cube of 787.9 using the cube of 788.
The cube of 787.9 is approximately 489,278,272.
First, identify the cube of 788, The cube of 788 is 788³ = 489,278,272.
Since 787.9 is only a tiny bit less than 788, the cube of 787.9 will be almost the same as the cube of 788.
The cube of 787.9 is approximately 489,278,272 because the difference between 787.9 and 788 is very small.
So, we can approximate the value as 489,278,272.
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.