Last updated on June 1st, 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 cubes of 391.
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 391 can be written as 391³, which is the exponential form.
Or it can also be written in arithmetic form as, 391 × 391 × 391.
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 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. 391³ = 391 × 391 × 391
Step 2: You get 59,708,671 as the answer. Hence, the cube of 391 is 59,708,671.
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 391 into two parts, as a and b. Let a = 390 and b = 1, so a + b = 391
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 390³ 3a²b = 3 × 390² × 1 3ab² = 3 × 390 × 1² b³ = 1³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (390 + 1)³ = 390³ + 3 × 390² × 1 + 3 × 390 × 1² + 1³ 391³ = 59,319,000 + 456,300 + 1,170 + 1 391³ = 59,708,671
Step 5: Hence, the cube of 391 is 59,708,671.
To find the cube of 391 using a calculator, input the number 391 and use the cube function (if available) or multiply 391 × 391 × 391. This operation calculates the value of 391³, resulting in 59,708,671. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 3 followed by 9 and 1
Step 3: If the calculator has a cube function, press it to calculate 391³.
Step 4: If there is no cube function on the calculator, simply multiply 391 three times manually.
Step 5: The calculator will display 59,708,671.
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 391?
The cube of 391 is 59,708,671 and the cube root of 391 is approximately 7.27.
First, let’s find the cube of 391.
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 391³ = 59,708,671
Next, we must find the cube root of 391
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√391 ≈ 7.27
Hence the cube of 391 is 59,708,671 and the cube root of 391 is approximately 7.27.
If the side length of the cube is 391 cm, what is the volume?
The volume is 59,708,671 cm³.
Use the volume formula for a cube V = Side³.
Substitute 391 for the side length: V = 391³ = 59,708,671 cm³.
How much larger is 391³ than 290³?
391³ - 290³ = 54,572,681.
First, find the cube of 391³, which is 59,708,671
Next, find the cube of 290³, which is 5,135,990
Now, find the difference between them using the subtraction method. 59,708,671 - 5,135,990 = 54,572,681
Therefore, 391³ is 54,572,681 larger than 290³.
If a cube with a side length of 391 cm is compared to a cube with a side length of 10 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 391 cm is 59,708,671 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 391 means multiplying 391 by itself three times: 391 × 391 = 152,881, and then 152,881 × 391 = 59,708,671.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 59,708,671 cm³.
Estimate the cube of 390 using the cube of 391.
The cube of 390 is approximately 59,319,000.
First, identify the cube of 391,
The cube of 391 is 391³ = 59,708,671.
Since 390 is very close to 391, the cube of 390 will be slightly less than the cube of 391.
The cube of 390 is approximately 59,319,000 because the difference between 390 and 391 is small.
So, we can approximate the value as 59,319,000.
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.