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 836.
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 836 can be written as 836³, which is the exponential form. Or it can also be written in arithmetic form as, 836 × 836 × 836.
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 individuals 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. 836³ = 836 × 836 × 836 Step 2: Calculate the result. Hence, the cube of 836 is 584,318,056.
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 836 into two parts. Let a = 800 and b = 36, so a + b = 836 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 800³ 3a²b = 3 × 800² × 36 3ab² = 3 × 800 × 36² b³ = 36³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (800 + 36)³ = 800³ + 3 × 800² × 36 + 3 × 800 × 36² + 36³ 836³ = 512,000,000 + 69,120,000 + 3,110,400 + 46,656 836³ = 584,318,056 Step 5: Hence, the cube of 836 is 584,318,056.
To find the cube of 836 using a calculator, input the number 836 and use the cube function (if available) or multiply 836 × 836 × 836. This operation calculates the value of 836³, resulting in 584,318,056. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Input 836 Step 3: If the calculator has a cube function, press it to calculate 836³. Step 4: If there is no cube function on the calculator, simply multiply 836 three times manually. Step 5: The calculator will display 584,318,056.
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 individuals might make during the process of cubing a number. Let us take a look at five of the major mistakes that might occur:
What is the cube and cube root of 836?
The cube of 836 is 584,318,056 and the cube root of 836 is approximately 9.431.
First, let’s find the cube of 836. We know that the 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 836³ = 584,318,056 Next, we must find the cube root of 836 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 ∛836 ≈ 9.431 Hence the cube of 836 is 584,318,056 and the cube root of 836 is approximately 9.431.
If the side length of the cube is 836 cm, what is the volume?
The volume is 584,318,056 cm³.
Use the volume formula for a cube V = Side³. Substitute 836 for the side length: V = 836³ = 584,318,056 cm³.
How much larger is 836³ than 800³?
836³ – 800³ = 72,318,056.
First, find the cube of 836, which is 584,318,056 Next, find the cube of 800, which is 512,000,000 Now, find the difference between them using the subtraction method. 584,318,056 – 512,000,000 = 72,318,056 Therefore, 836³ is 72,318,056 larger than 800³.
If a cube with a side length of 836 cm is compared to a cube with a side length of 400 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 836 cm is 584,318,056 cm³.
To find its volume, multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 836 means multiplying 836 by itself three times: 836 × 836 = 698,896, and then 698,896 × 836 = 584,318,056. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 584,318,056 cm³.
Estimate the cube of 835.9 using the cube of 836.
The cube of 835.9 is approximately 584,318,056.
First, identify the cube of 836, The cube of 836 is 836³ = 584,318,056. Since 835.9 is only a tiny bit less than 836, the cube of 835.9 will be almost the same as the cube of 836. The cube of 835.9 is approximately 584,318,056 because the difference between 835.9 and 836 is very small. So, we can approximate the value as 584,318,056.
1. Binomial Formula: An algebraic expression used to expand the powers of a number, written as (a + b)ⁿ, where ‘n’ is a positive integer. The formula helps find the square and cube of a number. 2. Cube of a Number: Multiplying a number by itself three times is called the cube of a number. 3. Exponential Form: A way of expressing numbers using a base and an exponent, where the exponent indicates how many times the base is multiplied by itself. For example, 836³ represents 836 × 836 × 836. 4. Perfect Cube: A number that can be expressed as the cube of an integer. 5. Volume of a Cube: The amount of space inside a cube, calculated using the formula V = 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.