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 790.
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 790 can be written as 790³, which is the exponential form. Or it can also be written in arithmetic form as 790 × 790 × 790.
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. 790³ = 790 × 790 × 790
Step 2: You get 493,039,000 as the answer. Hence, the cube of 790 is 493,039,000.
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 790 into two parts. Let a = 700 and b = 90, so a + b = 790
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × 90
3ab² = 3 × 700 × 90²
b³ = 90³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 90)³ = 700³ + 3 × 700² × 90 + 3 × 700 × 90² + 90³
790³ = 343,000,000 + 132,300,000 + 17,010,000 + 729,000
790³ = 493,039,000
Step 5: Hence, the cube of 790 is 493,039,000.
To find the cube of 790 using a calculator, input the number 790 and use the cube function (if available) or multiply 790 × 790 × 790. This operation calculates the value of 790³, resulting in 493,039,000. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 7, 9, followed by 0
Step 3: If the calculator has a cube function, press it to calculate 790³.
Step 4: If there is no cube function on the calculator, simply multiply 790 three times manually.
Step 5: The calculator will display 493,039,000.
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 790?
The cube of 790 is 493,039,000 and the cube root of 790 is approximately 9.234.
First, let’s find the cube of 790.
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 790³ = 493,039,000
Next, we must find the cube root of 790 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 ∛790 ≈ 9.234
Hence the cube of 790 is 493,039,000 and the cube root of 790 is approximately 9.234.
If the side length of the cube is 790 cm, what is the volume?
The volume is 493,039,000 cm³.
Use the volume formula for a cube V = Side³.
Substitute 790 for the side length: V = 790³ = 493,039,000 cm³.
How much larger is 790³ than 700³?
790³ – 700³ = 150,039,000.
First find the cube of 790³, that is 493,039,000
Next, find the cube of 700³, which is 343,000,000
Now, find the difference between them using the subtraction method. 493,039,000 – 343,000,000 = 150,039,000
Therefore, 790³ is 150,039,000 larger than 700³.
If a cube with a side length of 790 cm is compared to a cube with a side length of 90 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 790 cm is 493,039,000 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 790 means multiplying 790 by itself three times: 790 × 790 = 624,100, and then 624,100 × 790 = 493,039,000.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 493,039,000 cm³.
Estimate the cube 789.9 using the cube 790.
The cube of 789.9 is approximately 493,039,000.
First, identify the cube of 790, The cube of 790 is 790³ = 493,039,000.
Since 789.9 is only a tiny bit less than 790, the cube of 789.9 will be almost the same as the cube of 790.
The cube of 789.9 is approximately 493,039,000 because the difference between 789.9 and 790 is very small.
So, we can approximate the value as 493,039,000.
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.