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 in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 355.
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 355 can be written as 355³, which is the exponential form. Or it can also be written in arithmetic form as, 355 × 355 × 355.
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. 355³ = 355 × 355 × 355 Step 2: You get 44,783,875 as the answer. Hence, the cube of 355 is 44,783,875.
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 355 into two parts, as and. Let a = 350 and b = 5, so a + b = 355 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 350³ 3a²b = 3 × 350² × 5 3ab² = 3 × 350 × 5² b³ = 5³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (350 + 5)³ = 350³ + 3 × 350² × 5 + 3 × 350 × 5² + 5³ 355³ = 42,875,000 + 1,837,500 + 26,250 + 125 355³ = 44,783,875 Step 5: Hence, the cube of 355 is 44,783,875.
To find the cube of 355 using a calculator, input the number 355 and use the cube function (if available) or multiply 355 × 355 × 355. This operation calculates the value of 355³, resulting in 44,783,875. 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 5 and 5 Step 3: If the calculator has a cube function, press it to calculate 355³. Step 4: If there is no cube function on the calculator, simply multiply 355 three times manually. Step 5: The calculator will display 44,783,875.
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 355?
The cube of 355 is 44,783,875 and the cube root of 355 is approximately 7.072.
First, let’s find the cube of 355. We know that 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 355³ = 44,783,875. Next, we must find the cube root of 355. We know that the cube root of a number ‘x’, such that ³√x = y, where ‘x’ is the given number, and y is the cube root value of the number. So, we get ³√355 ≈ 7.072. Hence, the cube of 355 is 44,783,875 and the cube root of 355 is approximately 7.072.
If the side length of the cube is 355 cm, what is the volume?
The volume is 44,783,875 cm³.
Use the volume formula for a cube V = Side³. Substitute 355 for the side length: V = 355³ = 44,783,875 cm³.
How much larger is 355³ than 350³?
355³ – 350³ = 1,908,875.
First find the cube of 355³, that is 44,783,875. Next, find the cube of 350³, which is 42,875,000. Now, find the difference between them using the subtraction method. 44,783,875 – 42,875,000 = 1,908,875. Therefore, 355³ is 1,908,875 larger than 350³.
If a cube with a side length of 355 cm is compared to a cube with a side length of 5 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 355 cm is 44,783,875 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 355 means multiplying 355 by itself three times: 355 × 355 = 126,025, and then 126,025 × 355 = 44,783,875. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 44,783,875 cm³.
Estimate the cube of 354.9 using the cube of 355.
The cube of 354.9 is approximately 44,783,875.
First, identify the cube of 355. The cube of 355 is 355³ = 44,783,875. Since 354.9 is only a tiny bit less than 355, the cube of 354.9 will be almost the same as the cube of 355. The cube of 354.9 is approximately 44,783,875 because the difference between 354.9 and 355 is very small. So, we can approximate the value as 44,783,875.
Binomial Formula: It is 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: It is 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 amount of space occupied by a cube, calculated as the side length raised to the power of three.
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.