Last updated on May 30th, 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 cubes of 91.
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 multiplying a negative number by itself three times results in a negative number.
The cube of 91 can be written as 91³, which is the exponential form.
Or it can also be written in arithmetic form as 91 × 91 × 91.
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. 91³ = 91 × 91 × 91
Step 2: You get 753,571 as the answer.
Hence, the cube of 91 is 753,571.
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 91 into two parts. Let a = 90 and b = 1, so a + b = 91
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 90³ 3a²b = 3 × 90² × 1 3ab² = 3 × 90 × 1² b³ = 1³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (90 + 1)³ = 90³ + 3 × 90² × 1 + 3 × 90 × 1² + 1³ 91³ = 729,000 + 24,300 + 270 + 1 91³ = 753,571
Step 5: Hence, the cube of 91 is 753,571.
To find the cube of 91 using a calculator, input the number 91 and use the cube function (if available) or multiply 91 × 91 × 91. This operation calculates the value of 91³, resulting in 753,571. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 9 followed by 1
Step 3: If the calculator has a cube function, press it to calculate 91³.
Step 4: If there is no cube function on the calculator, simply multiply 91 three times manually.
Step 5: The calculator will display 753,571.
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 91?
The cube of 91 is 753,571 and the cube root of 91 is approximately 4.497.
First, let’s find the cube of 91.
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 91³ = 753,571 Next, we must find the cube root of 91.
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 ∛91 ≈ 4.497
Hence the cube of 91 is 753,571 and the cube root of 91 is approximately 4.497.
If the side length of the cube is 91 cm, what is the volume?
The volume is 753,571 cm³.
Use the volume formula for a cube V = Side³.
Substitute 91 for the side length: V = 91³ = 753,571 cm³.
How much larger is 91³ than 81³?
91³ – 81³ = 384,611.
First, find the cube of 91³, that is 753,571
Next, find the cube of 81³, which is 369,960
Now, find the difference between them using the subtraction method. 753,571 – 369,960 = 384,611
Therefore, 91³ is 384,611 larger than 81³.
If a cube with a side length of 91 cm is compared to a cube with a side length of 9 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 91 cm is 753,571 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 91 means multiplying 91 by itself three times: 91 × 91 = 8,281, and then 8,281 × 91 = 753,571.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 753,571 cm³.
Estimate the cube of 90.1 using the cube of 91.
The cube of 90.1 is approximately 753,571.
First, identify the cube of 91,
The cube of 91 is 91³ = 753,571.
Since 90.1 is only a tiny bit less than 91, the cube of 90.1 will be almost the same as the cube of 91.
The cube of 90.1 is approximately 753,571 because the difference between 90.1 and 91 is very small.
So, we can approximate the value as 753,571.
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.