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 cubes of 339.
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 339 can be written as 339³, which is the exponential form. Or it can also be written in arithmetic form as 339 × 339 × 339.
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. By Multiplication Method Using a Formula Using a Calculator
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. 339³ = 339 × 339 × 339 Step 2: You get 39,015,819 as the answer. Hence, the cube of 339 is 39,015,819.
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 339 into two parts, as 300 and 39. Let a = 300 and b = 39, so a + b = 339 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 300³ 3a²b = 3 × 300² × 39 3ab² = 3 × 300 × 39² b³ = 39³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (300 + 39)³ = 300³ + 3 × 300² × 39 + 3 × 300 × 39² + 39³ 339³ = 27,000,000 + 10,530,000 + 1,365,300 + 59,319 339³ = 39,015,819 Step 5: Hence, the cube of 339 is 39,015,819.
To find the cube of 339 using a calculator, input the number 339 and use the cube function (if available) or multiply 339 × 339 × 339. This operation calculates the value of 339³, resulting in 39,015,819. 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 9. Step 3: If the calculator has a cube function, press it to calculate 339³. Step 4: If there is no cube function on the calculator, simply multiply 339 three times manually. Step 5: The calculator will display 39,015,819.
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 339?
The cube of 339 is 39,015,819 and the cube root of 339 is approximately 7.015.
First, let’s find the cube of 339. We know that the cube of a number is such that x³ = y Where x is the given number, and y is the cubed value of that number. So, we get 339³ = 39,015,819 Next, we must find the cube root of 339. We know that the cube root of a number ‘x’ is such that ∛x = y Where x is the given number, and y is the cube root value of the number. So, we get ∛339 ≈ 7.015 Hence the cube of 339 is 39,015,819 and the cube root of 339 is approximately 7.015.
If the side length of the cube is 339 cm, what is the volume?
The volume is 39,015,819 cm³.
Use the volume formula for a cube V = Side³. Substitute 339 for the side length: V = 339³ = 39,015,819 cm³.
How much larger is 339³ than 300³?
339³ – 300³ = 12,015,819.
First, find the cube of 339³, which is 39,015,819. Next, find the cube of 300³, which is 27,000,000. Now, find the difference between them using the subtraction method. 39,015,819 – 27,000,000 = 12,015,819 Therefore, 339³ is 12,015,819 larger than 300³.
If a cube with a side length of 339 cm is compared to a cube with a side length of 39 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 339 cm is 39,015,819 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 339 means multiplying 339 by itself three times: 339 × 339 = 114,921, and then 114,921 × 339 = 39,015,819. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 39,015,819 cm³.
Estimate the cube 338.9 using the cube 339.
The cube of 338.9 is approximately 39,015,819.
First, identify the cube of 339. The cube of 339 is 339³ = 39,015,819. Since 338.9 is only a tiny bit less than 339, the cube of 338.9 will be almost the same as the cube of 339. The cube of 338.9 is approximately 39,015,819 because the difference between 338.9 and 339 is very small. So, we can approximate the value as 39,015,819.
Binomial Formula: An algebraic expression used to expand the powers of a number, written as (a + b)ⁿ, where ‘n’ is a positive integer raised to the base. The formula is used to find the square and cube of a number. Cube of a Number: Multiplying a number by itself three times is called the cube of a number. Exponential Form: A way of expressing numbers using a base and an exponent (or power), where the exponent value indicates how many times the base is multiplied by itself. For example, 2³ represents 2 × 2 × 2 equals 8. Perfect Cube: A number that can be expressed as the cube of an integer. Volume of a Cube: The space occupied by a cube, calculated as the side length cubed (Side³).
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.