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 in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 96.
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 96 can be written as 96³, which is the exponential form.
Or it can also be written in arithmetic form as 96 × 96 × 96.
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 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. 96³ = 96 × 96 × 96
Step 2: You get 884,736 as the answer.
Hence, the cube of 96 is 884,736.
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 96 into two parts, as and . Let a = 90 and b = 6, so a + b = 96
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 90³ 3a²b = 3 × 90² × 6 3ab² = 3 × 90 × 6² b³ = 6³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (90 + 6)³ = 90³ + 3 × 90² × 6 + 3 × 90 × 6² + 6³ 96³ = 729000 + 145800 + 9720 + 216 96³ = 884,736
Step 5: Hence, the cube of 96 is 884,736.
To find the cube of 96 using a calculator, input the number 96 and use the cube function (if available) or multiply 96 × 96 × 96. This operation calculates the value of 96³, resulting in 884,736. 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 6
Step 3: If the calculator has a cube function, press it to calculate 96³.
Step 4: If there is no cube function on the calculator, simply multiply 96 three times manually.
Step 5: The calculator will display 884,736.
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 96?
The cube of 96 is 884,736 and the cube root of 96 is approximately 4.6416.
First, let’s find the cube of 96.
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 96³ = 884,736 Next, we must find the cube root of 96
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 ∛96 ≈ 4.6416
Hence the cube of 96 is 884,736 and the cube root of 96 is approximately 4.6416.
If the side length of the cube is 96 cm, what is the volume?
The volume is 884,736 cm³.
Use the volume formula for a cube V = Side³.
Substitute 96 for the side length: V = 96³ = 884,736 cm³.
How much larger is 96³ than 46³?
96³ – 46³ = 868,584.
First find the cube of 96³, that is 884,736
Next, find the cube of 46³, which is 16,152
Now, find the difference between them using the subtraction method. 884,736 – 16,152 = 868,584
Therefore, the 96³ is 868,584 larger than 46³.
If a cube with a side length of 96 cm is compared to a cube with a side length of 16 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 96 cm is 884,736 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 96 means multiplying 96 by itself three times: 96 × 96 = 9,216, and then 9,216 × 96 = 884,736.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 884,736 cm³.
Estimate the cube of 95.9 using the cube of 96.
The cube of 95.9 is approximately 884,736.
First, identify the cube of 96,
The cube of 96 is 96³ = 884,736.
Since 95.9 is only a tiny bit less than 96, the cube of 95.9 will be almost the same as the cube of 96.
The cube of 95.9 is approximately 884,736 because the difference between 95.9 and 96 is very small.
So, we can approximate the value as 884,736.
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.