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 834.
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 834 can be written as 834³, which is the exponential form. Or it can also be written in arithmetic form as, 834 × 834 × 834.
In order 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 learners 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. 834³ = 834 × 834 × 834 Step 2: You get 580,637,304 as the answer. Hence, the cube of 834 is 580,637,304.
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 834 into two parts. Let a = 800 and b = 34, so a + b = 834 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³. Step 3: Calculate each term a³ = 800³ 3a²b = 3 × 800² × 34 3ab² = 3 × 800 × 34² b³ = 34³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (800 + 34)³ = 800³ + 3 × 800² × 34 + 3 × 800 × 34² + 34³ 834³ = 512,000,000 + 65,280,000 + 27,648,000 + 39,304 834³ = 580,637,304 Step 5: Hence, the cube of 834 is 580,637,304.
To find the cube of 834 using a calculator, input the number 834 and use the cube function (if available) or multiply 834 × 834 × 834. This operation calculates the value of 834³, resulting in 580,637,304. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Enter 834 Step 3: If the calculator has a cube function, press it to calculate 834³. Step 4: If there is no cube function on the calculator, simply multiply 834 three times manually. Step 5: The calculator will display 580,637,304.
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 learners might make during the process of cubing a number. Let us take a look at five of the major mistakes that learners might make:
What is the cube and cube root of 834?
The cube of 834 is 580,637,304 and the cube root of 834 is approximately 9.434.
First, let’s find the cube of 834. 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 834³ = 580,637,304. Next, we must find the cube root of 834. The cube root of a number x is such that ∛x = y, where x is the given number, and y is the cube root value of the number. So, we get ∛834 ≈ 9.434. Hence the cube of 834 is 580,637,304, and the cube root of 834 is approximately 9.434.
If the side length of the cube is 834 cm, what is the volume?
The volume is 580,637,304 cm³.
Use the volume formula for a cube V = Side³. Substitute 834 for the side length: V = 834³ = 580,637,304 cm³.
How much larger is 834³ than 800³?
834³ – 800³ = 68,637,304.
First, find the cube of 834, which is 580,637,304. Next, find the cube of 800, which is 512,000,000. Now, find the difference between them using the subtraction method. 580,637,304 – 512,000,000 = 68,637,304. Therefore, the 834³ is 68,637,304 larger than 800³.
If a cube with a side length of 834 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 834 cm is 580,637,304 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 834 means multiplying 834 by itself three times: 834 × 834 = 695,556, and then 695,556 × 834 = 580,637,304. The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube. Therefore, the volume of the cube is 580,637,304 cm³.
Estimate the cube of 833.9 using the cube of 834.
The cube of 833.9 is approximately 580,637,304.
First, identify the cube of 834. The cube of 834 is 834³ = 580,637,304. Since 833.9 is only a tiny bit less than 834, the cube of 833.9 will be almost the same as the cube of 834. The cube of 833.9 is approximately 580,637,304 because the difference between 833.9 and 834 is very small. So, we can approximate the value as 580,637,304.
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. Volume of a Cube: It is the amount of space inside a cube, calculated by raising the side length to the power of three (Side³). 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.
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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