Last updated on May 27th, 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 835.
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 835 can be written as 835³, which is the exponential form. Or it can also be written in arithmetic form as, 835 × 835 × 835.
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. 835³ = 835 × 835 × 835 Step 2: You get 582,056,375 as the answer. Hence, the cube of 835 is 582,056,375.
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 835 into two parts, as 800 and 35. Let a = 800 and b = 35, so a + b = 835 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 800³ 3a²b = 3 × 800² × 35 3ab² = 3 × 800 × 35² b³ = 35³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (800 + 35)³ = 800³ + 3 × 800² × 35 + 3 × 800 × 35² + 35³ 835³ = 512,000,000 + 67,200,000 + 29,400,000 + 42,875 835³ = 582,056,375 Step 5: Hence, the cube of 835 is 582,056,375.
To find the cube of 835 using a calculator, input the number 835 and use the cube function (if available) or multiply 835 × 835 × 835. This operation calculates the value of 835³, resulting in 582,056,375. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 8 followed by 3 and 5 Step 3: If the calculator has a cube function, press it to calculate 835³. Step 4: If there is no cube function on the calculator, simply multiply 835 three times manually. Step 5: The calculator will display 582,056,375.
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 835?
The cube of 835 is 582,056,375 and the cube root of 835 is approximately 9.428.
First, let’s find the cube of 835. 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 835³ = 582,056,375 Next, we must find the cube root of 835. We know that 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√835 ≈ 9.428 Hence the cube of 835 is 582,056,375 and the cube root of 835 is approximately 9.428.
If the side length of the cube is 835 cm, what is the volume?
The volume is 582,056,375 cm³.
Use the volume formula for a cube V = Side³. Substitute 835 for the side length: V = 835³ = 582,056,375 cm³.
How much larger is 835³ than 800³?
835³ – 800³ = 70,056,375.
First, find the cube of 835, that is 582,056,375. Next, find the cube of 800, which is 512,000,000. Now, find the difference between them using the subtraction method. 582,056,375 – 512,000,000 = 70,056,375 Therefore, 835³ is 70,056,375 larger than 800³.
If a cube with a side length of 835 cm is compared to a cube with a side length of 35 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 835 cm is 582,056,375 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 835 means multiplying 835 by itself three times: 835 × 835 = 696,225, and then 696,225 × 835 = 582,056,375. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 582,056,375 cm³.
Estimate the cube 834.9 using the cube 835.
The cube of 834.9 is approximately 582,056,375.
First, identify the cube of 835. The cube of 835 is 835³ = 582,056,375. Since 834.9 is only a tiny bit less than 835, the cube of 834.9 will be almost the same as the cube of 835. The cube of 834.9 is approximately 582,056,375 because the difference between 834.9 and 835 is very small. So, we can approximate the value as 582,056,375.
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. Volume of a Cube: The space inside a cube, calculated by raising the side length to the power of three. Cube Root: A value that, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3.
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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