Last updated on May 26th, 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 the cube of 327.
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 multiplied by itself three times results in a negative number.
The cube of 327 can be written as 327³, which is the exponential form. Or it can also be written in arithmetic form as 327 × 327 × 327.
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. 327³ = 327 × 327 × 327
Step 2: You get 34,922,223 as the answer. Hence, the cube of 327 is 34,922,223.
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 327 into two parts as 300 and 27. Let a = 300 and b = 27, so a + b = 327
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 300³
3a²b = 3 × 300² × 27
3ab² = 3 × 300 × 27²
b³ = 27³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(300 + 27)³ = 300³ + 3 × 300² × 27 + 3 × 300 × 27² + 27³
327³ = 27,000,000 + 7,290,000 + 655,200 + 19,683
327³ = 34,922,223
Step 5: Hence, the cube of 327 is 34,922,223.
To find the cube of 327 using a calculator, input the number 327 and use the cube function (if available) or multiply 327 × 327 × 327. This operation calculates the value of 327³, resulting in 34,922,223. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Input 327
Step 3: If the calculator has a cube function, press it to calculate 327³.
Step 4: If there is no cube function on the calculator, simply multiply 327 three times manually.
Step 5: The calculator will display 34,922,223.
What is the cube and cube root of 327?
If the side length of the cube is 327 cm, what is the volume?
How much larger is 327³ than 100³?
If a cube with a side length of 327 cm is compared to a cube with a side length of 50 cm, how much larger is the volume of the larger cube?
Estimate the cube of 326.5 using the cube of 327.
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.