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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 332.
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 332 can be written as 3323, which is the exponential form. Or it can also be written in arithmetic form as, 332 × 332 × 332.
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 (a^3), 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.
3323 = 332 × 332 × 332
Step 2: You get 36,628,768 as the answer.
Hence, the cube of 332 is 36,628,768.
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 332 into two parts, as and .
Let a = 300 and b = 32, so a + b = 332
Step 2: Now, apply the formula (a + b)3 = a3 + 3a2b + 3ab2 + b3
Step 3: Calculate each term
a3 = 3003 , 3a2b = 3 × 3002 × 32 , 3ab2 = 3 × 300 × 322 , b2 = 323
Step 4: Add all the terms together:
(a + b)3 = a3+ 3a2b + 3ab2+ b3
(300 + 32)3 = 3003 + 3 × 3002 × 32 + 3 × 300 × 322 + 323
3323= 27,000,000 + 2,880,000 + 921,600 + 32,768 3323
= 36,628,768
Step 5: Hence, the cube of 332 is 36,628,768.
To find the cube of 332 using a calculator, input the number 332 and use the cube function (if available) or multiply 332 × 332 × 332. This operation calculates the value of 3323, resulting in 36,628,768. 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 3 and then 2
Step 3: If the calculator has a cube function, press it to calculate 3323.
Step 4: If there is no cube function on the calculator, simply multiply 332 three times manually.
Step 5: The calculator will display 36,628,768.
The cube of any even number is always even, while the cube of any odd number is always odd. The product of two or more perfect cube numbers is always a perfect cube. A perfect cube can always be expressed as the product of three identical groups of equal prime factors.
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 332?
The cube of 332 is 36,628,768 and the cube root of 332 is approximately 6.923.
First, let’s find the cube of 332.
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 3323 = 36,628,768
Next, we must find the cube root of 332
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 ∛332 ≈ 6.923
Hence the cube of 332 is 36,628,768 and the cube root of 332 is approximately 6.923.
If the side length of the cube is 332 cm, what is the volume?
The volume is 36,628,768 cm3.
Use the volume formula for a cube V = Side3.
Substitute 332 for the side length: V = 3323 = 36,628,768 cm3.
How much larger is 332^3 than 222^3?
3323 – 2223 = 29,497,936.
First find the cube of 3323, that is 36,628,768
Next, find the cube of 2223, which is 7,130,832
Now, find the difference between them using the subtraction method.
36,628,768 – 7,130,832 = 29,497,936
Therefore, 3323 is 29,497,936 larger than 2223.
If a cube with a side length of 332 cm is compared to a cube with a side length of 132 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 332 cm is 36,628,768 cm^3
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 332 means multiplying 332 by itself three times: 332 × 332 = 110,224, and then 110,224 × 332 = 36,628,768.
The unit of volume is cubic centimeters (cm3), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 36,628,768 cm^3.
Estimate the cube 331.1 using the cube 332.
The cube of 331.1 is approximately 36,628,768.
First, identify the cube of 332.
The cube of 332 is 3323 = 36,628,768.
Since 331.1 is only a tiny bit less than 332, the cube of 331.1 will be almost the same as the cube of 332.
The cube of 331.1 is approximately 36,628,768 because the difference between 331.1 and 332 is very small.
So, we can approximate the value as 36,628,768.
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.