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 useful when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 876.
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 876 can be written as 876³, which is the exponential form. Or it can also be written in arithmetic form as 876 × 876 × 876.
In order to check whether a number is a cube number or not, we can use the following three methods: the multiplication method, a factor formula (a³), or by using a calculator. These three methods will help kids cube 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. 876³ = 876 × 876 × 876 Step 2: You get 673,373,376 as the answer. Hence, the cube of 876 is 673,373,376.
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 876 into two parts. Let a = 870 and b = 6, so a + b = 876 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 870³ 3a²b = 3 × 870² × 6 3ab² = 3 × 870 × 6² b³ = 6³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (870 + 6)³ = 870³ + 3 × 870² × 6 + 3 × 870 × 6² + 6³ 876³ = 658,503,000 + 136,620 + 31,320 + 216 876³ = 673,373,376 Step 5: Hence, the cube of 876 is 673,373,376.
To find the cube of 876 using a calculator, input the number 876 and use the cube function (if available) or multiply 876 × 876 × 876. This operation calculates the value of 876³, resulting in 673,373,376. 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 7 and 6 Step 3: If the calculator has a cube function, press it to calculate 876³. Step 4: If there is no cube function on the calculator, simply multiply 876 three times manually. Step 5: The calculator will display 673,373,376.
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 876?
The cube of 876 is 673,373,376 and the cube root of 876 is approximately 9.549.
First, let’s find the cube of 876. 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 876³ = 673,373,376. Next, we must find the cube root of 876. 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 ∛876 ≈ 9.549. Hence, the cube of 876 is 673,373,376 and the cube root of 876 is approximately 9.549.
If the side length of the cube is 876 cm, what is the volume?
The volume is 673,373,376 cm³.
Use the volume formula for a cube V = Side³. Substitute 876 for the side length: V = 876³ = 673,373,376 cm³.
How much larger is 876³ than 870³?
876³ – 870³ = 4,870,376.
First find the cube of 876³, that is 673,373,376. Next, find the cube of 870³, which is 658,503,000. Now, find the difference between them using the subtraction method. 673,373,376 – 658,503,000 = 14,870,376. Therefore, 876³ is 14,870,376 larger than 870³.
If a cube with a side length of 876 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 876 cm is 673,373,376 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 876 means multiplying 876 by itself three times: 876 × 876 = 767,376, and then 767,376 × 876 = 673,373,376. The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube. Therefore, the volume of the cube is 673,373,376 cm³.
Estimate the cube of 875.9 using the cube of 876.
The cube of 875.9 is approximately 673,373,376.
First, identify the cube of 876. The cube of 876 is 876³ = 673,373,376. Since 875.9 is only a tiny bit less than 876, the cube of 875.9 will be almost the same as the cube of 876. The cube of 875.9 is approximately 673,373,376 because the difference between 875.9 and 876 is very small. So, we can approximate the value as 673,373,376.
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 cube of an integer. Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number.
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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