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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 826.
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 826 can be written as 826³, which is the exponential form. Or it can also be written in arithmetic form as 826 × 826 × 826.
To determine 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 calculate the cube of numbers faster and easier without confusion or being 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 numbers 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. 826³ = 826 × 826 × 826 Step 2: You get 563,975,576 as the answer. Hence, the cube of 826 is 563,975,576.
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 826 into two parts, as 800 and 26. Let a = 800 and b = 26, so a + b = 826 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 800³ 3a²b = 3 × 800² × 26 3ab² = 3 × 800 × 26² b³ = 26³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (800 + 26)³ = 800³ + 3 × 800² × 26 + 3 × 800 × 26² + 26³ 826³ = 512,000,000 + 49,920,000 + 1,622,400 + 17,576 826³ = 563,975,576 Step 5: Hence, the cube of 826 is 563,975,576.
To find the cube of 826 using a calculator, input the number 826 and use the cube function (if available) or multiply 826 × 826 × 826. This operation calculates the value of 826³, resulting in 563,975,576. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 8, 2, 6 Step 3: If the calculator has a cube function, press it to calculate 826³. Step 4: If there is no cube function on the calculator, simply multiply 826 three times manually. Step 5: The calculator will display 563,975,576.
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 might occur during the process of cubing a number. Let's take a look at five major mistakes that can happen:
What is the cube and cube root of 826?
The cube of 826 is 563,975,576 and the cube root of 826 is approximately 9.412.
First, let’s find the cube of 826. 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 826³ = 563,975,576 Next, we must find the cube root of 826 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 ∛826 ≈ 9.412 Hence, the cube of 826 is 563,975,576 and the cube root of 826 is approximately 9.412.
If the side length of a cube is 826 cm, what is the volume?
The volume is 563,975,576 cm³.
Use the volume formula for a cube V = Side³. Substitute 826 for the side length: V = 826³ = 563,975,576 cm³.
How much larger is 826³ than 800³?
826³ – 800³ = 51,975,576.
First, find the cube of 826, which is 563,975,576. Next, find the cube of 800, which is 512,000,000. Now, find the difference between them using the subtraction method. 563,975,576 – 512,000,000 = 51,975,576 Therefore, 826³ is 51,975,576 larger than 800³.
If a cube with a side length of 826 cm is compared to a cube with a side length of 200 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 826 cm is 563,975,576 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 826 means multiplying 826 by itself three times: 826 × 826 = 682,276, and 682,276 × 826 = 563,975,576. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 563,975,576 cm³.
Estimate the cube of 825.5 using the cube of 826.
The cube of 825.5 is approximately 563,975,576.
First, identify the cube of 826, The cube of 826 is 826³ = 563,975,576. Since 825.5 is only a tiny bit less than 826, the cube of 825.5 will be almost the same as the cube of 826. The cube of 825.5 is approximately 563,975,576 because the difference between 825.5 and 826 is very small. So, we can approximate the value as 563,975,576.
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 product of three equal integers is called a perfect cube. Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3.
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