Last updated on June 3rd, 2025
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used in while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 291.
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 291 can be written as 291³, which is the exponential form.
Or it can also be written in arithmetic form as, 291 × 291 × 291.
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. 291³ = 291 × 291 × 291
Step 2: You get 24,648,171 as the answer. Hence, the cube of 291 is 24,648,171.
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 291 into two parts. Let a = 290 and b = 1, so a + b = 291
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 290³ 3a²b = 3 × 290² × 1 3ab² = 3 × 290 × 1² b³ = 1³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (290 + 1)³ = 290³ + 3 × 290² × 1 + 3 × 290 × 1² + 1³ 291³ = 24,389,000 + 252,300 + 870 + 1 291³ = 24,648,171
Step 5: Hence, the cube of 291 is 24,648,171.
To find the cube of 291 using a calculator, input the number 291 and use the cube function (if available) or multiply 291 × 291 × 291. This operation calculates the value of 291³, resulting in 24,648,171. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 2, 9, followed by 1
Step 3: If the calculator has a cube function, press it to calculate 291³.
Step 4: If there is no cube function on the calculator, simply multiply 291 three times manually.
Step 5: The calculator will display 24,648,171.
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 291?
The cube of 291 is 24,648,171 and the cube root of 291 is approximately 6.659.
First, let’s find the cube of 291.
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 291³ = 24,648,171
Next, we must find the cube root of 291
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 ∛291 ≈ 6.659
Hence the cube of 291 is 24,648,171 and the cube root of 291 is approximately 6.659.
If the side length of the cube is 291 cm, what is the volume?
The volume is 24,648,171 cm³.
Use the volume formula for a cube V = Side³.
Substitute 291 for the side length: V = 291³ = 24,648,171 cm³.
How much larger is 291³ than 290³?
291³ – 290³ = 259,171.
First find the cube of 291³, that is 24,648,171
Next, find the cube of 290³, which is 24,389,000
Now, find the difference between them using the subtraction method. 24,648,171 – 24,389,000 = 259,171
Therefore, 291³ is 259,171 larger than 290³.
If a cube with a side length of 291 cm is compared to a cube with a side length of 1 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 291 cm is 24,648,171 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 291 means multiplying 291 by itself three times: 291 × 291 = 84,681, and then 84,681 × 291 = 24,648,171.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 24,648,171 cm³.
Estimate the cube of 290.9 using the cube of 291.
The cube of 290.9 is approximately 24,648,171.
First, identify the cube of 291, The cube of 291 is 291³ = 24,648,171.
Since 290.9 is only a tiny bit less than 291, the cube of 290.9 will be almost the same as the cube of 291.
The cube of 290.9 is approximately 24,648,171 because the difference between 290.9 and 291 is very small.
So, we can approximate the value as 24,648,171.
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.