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 335.
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 335 can be written as 335³, which is the exponential form. Or it can also be written in arithmetic form as, 335 × 335 × 335.
In order to check whether a number is a cube number or not, we can use the following three methods, such as the 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. 335³ = 335 × 335 × 335 Step 2: You get 37,578,875 as the answer. Hence, the cube of 335 is 37,578,875.
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 335 into two parts, as 300 and 35. Let a = 300 and b = 35, so a + b = 335 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 300³ 3a²b = 3 × 300² × 35 3ab² = 3 × 300 × 35² b³ = 35³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (300 + 35)³ = 300³ + 3 × 300² × 35 + 3 × 300 × 35² + 35³ 335³ = 27,000,000 + 9,450,000 + 1,102,500 + 42,875 335³ = 37,578,875 Step 5: Hence, the cube of 335 is 37,578,875.
To find the cube of 335 using a calculator, input the number 335 and use the cube function (if available) or multiply 335 × 335 × 335. This operation calculates the value of 335³, resulting in 37,578,875. 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 3 and 5 Step 3: If the calculator has a cube function, press it to calculate 335³. Step 4: If there is no cube function on the calculator, simply multiply 335 three times manually. Step 5: The calculator will display 37,578,875.
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 335?
The cube of 335 is 37,578,875 and the cube root of 335 is approximately 6.943.
First, let’s find the cube of 335. 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 335³ = 37,578,875 Next, we must find the cube root of 335. 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 ∛335 ≈ 6.943 Hence, the cube of 335 is 37,578,875 and the cube root of 335 is approximately 6.943.
If the side length of the cube is 335 cm, what is the volume?
The volume is 37,578,875 cm³.
Use the volume formula for a cube V = Side³. Substitute 335 for the side length: V = 335³ = 37,578,875 cm³.
How much larger is 335³ than 300³?
335³ – 300³ = 10,578,875.
First find the cube of 335³, that is 37,578,875. Next, find the cube of 300³, which is 27,000,000. Now, find the difference between them using the subtraction method. 37,578,875 – 27,000,000 = 10,578,875 Therefore, 335³ is 10,578,875 larger than 300³.
If a cube with a side length of 335 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 335 cm is 37,578,875 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 335 means multiplying 335 by itself three times: 335 × 335 = 112,225, and then 112,225 × 335 = 37,578,875. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 37,578,875 cm³.
Estimate the cube of 334.9 using the cube of 335.
The cube of 334.9 is approximately 37,578,875.
First, identify the cube of 335. The cube of 335 is 335³ = 37,578,875. Since 334.9 is only a tiny bit less than 335, the cube of 334.9 will be almost the same as the cube of 335. The cube of 334.9 is approximately 37,578,875 because the difference between 334.9 and 335 is very small. So, we can approximate the value as 37,578,875.
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. Multiplication Method: A mathematical process used to find the product of numbers by combining them through repeated addition. Perfect Cube: A number that can be expressed as the cube of an integer.
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.
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