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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 336.
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 336 can be written as 336³, which is the exponential form. Or it can also be written in arithmetic form as, 336 × 336 × 336.
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. By Multiplication Method Using a Formula Using a Calculator
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. 336³ = 336 × 336 × 336 Step 2: You get 37,947,456 as the answer. Hence, the cube of 336 is 37,947,456.
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 336 into two parts. Let a = 300 and b = 36, so a + b = 336 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 300³ 3a²b = 3 × 300² × 36 3ab² = 3 × 300 × 36² b³ = 36³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (300 + 36)³ = 300³ + 3 × 300² × 36 + 3 × 300 × 36² + 36³ 336³ = 27,000,000 + 9,720,000 + 1,166,400 + 46,656 336³ = 37,947,456 Step 5: Hence, the cube of 336 is 37,947,456.
To find the cube of 336 using a calculator, input the number 336 and use the cube function (if available) or multiply 336 × 336 × 336. This operation calculates the value of 336³, resulting in 37,947,456. 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 6 Step 3: If the calculator has a cube function, press it to calculate 336³. Step 4: If there is no cube function on the calculator, simply multiply 336 three times manually. Step 5: The calculator will display 37,947,456.
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 336?
The cube of 336 is 37,947,456 and the cube root of 336 is approximately 6.951.
First, let’s find the cube of 336. We know that the cube of a number is x³ = y, where x is the given number, and y is the cubed value of that number. So, we get 336³ = 37,947,456. Next, we must find the cube root of 336. We know that the cube root of a number ‘x’ is given as ∛x = y, where ‘x’ is the given number, and y is the cube root value of the number. So, we get ∛336 ≈ 6.951. Hence, the cube of 336 is 37,947,456 and the cube root of 336 is approximately 6.951.
If the side length of the cube is 336 cm, what is the volume?
The volume is 37,947,456 cm³.
Use the volume formula for a cube V = Side³. Substitute 336 for the side length: V = 336³ = 37,947,456 cm³.
How much larger is 336³ than 300³?
336³ – 300³ = 10,947,456.
First, find the cube of 336, which is 37,947,456. Next, find the cube of 300, which is 27,000,000. Now, find the difference between them using the subtraction method. 37,947,456 – 27,000,000 = 10,947,456. Therefore, 336³ is 10,947,456 larger than 300³.
If a cube with a side length of 336 cm is compared to a cube with a side length of 10 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 336 cm is 37,947,456 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 336 means multiplying 336 by itself three times: 336 × 336 = 112,896, and then 112,896 × 336 = 37,947,456. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 37,947,456 cm³.
Estimate the cube 335.9 using the cube 336.
The cube of 335.9 is approximately 37,947,456.
First, identify the cube of 336. The cube of 336 is 336³ = 37,947,456. Since 335.9 is only a tiny bit less than 336, the cube of 335.9 will be almost the same as the cube of 336. The cube of 335.9 is approximately 37,947,456 because the difference between 335.9 and 336 is very small. So, we can approximate the value as 37,947,456.
Binomial Formula: An algebraic expression used to expand the powers of a number, written as (a + b)³, 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, which equals 8. Perfect Cube: A number that can be expressed as the cube of an integer. Volume of a Cube: A measure of the amount of space inside a cube, calculated as the cube of the side length.
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.