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 864.
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 864 can be written as 864³, which is the exponential form. Or it can also be written in arithmetic form as, 864 × 864 × 864.
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. 864³ = 864 × 864 × 864 Step 2: You get 644,972,544 as the answer. Hence, the cube of 864 is 644,972,544.
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 864 into two parts. Let a = 860 and b = 4, so a + b = 864 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 860³ 3a²b = 3 × 860² × 4 3ab² = 3 × 860 × 4² b³ = 4³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (860 + 4)³ = 860³ + 3 × 860² × 4 + 3 × 860 × 4² + 4³ 864³ = 636,056,000 + 11,088,000 + 41,280 + 64 864³ = 644,972,544 Step 5: Hence, the cube of 864 is 644,972,544.
To find the cube of 864 using a calculator, input the number 864 and use the cube function (if available) or multiply 864 × 864 × 864. This operation calculates the value of 864³, resulting in 644,972,544. 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 6 and 4 Step 3: If the calculator has a cube function, press it to calculate 864³. Step 4: If there is no cube function on the calculator, simply multiply 864 three times manually. Step 5: The calculator will display 644,972,544.
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 864?
The cube of 864 is 644,972,544 and the cube root of 864 is approximately 9.545.
First, let’s find the cube of 864. 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 864³ = 644,972,544 Next, we must find the cube root of 864 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√864 ≈ 9.545 Hence the cube of 864 is 644,972,544 and the cube root of 864 is approximately 9.545.
If the side length of the cube is 864 cm, what is the volume?
The volume is 644,972,544 cm³.
Use the volume formula for a cube V = Side³. Substitute 864 for the side length: V = 864³ = 644,972,544 cm³.
How much larger is 864³ than 860³?
864³ – 860³ = 8,916,544.
First find the cube of 864, that is 644,972,544 Next, find the cube of 860, which is 636,056,000 Now, find the difference between them using the subtraction method. 644,972,544 – 636,056,000 = 8,916,544 Therefore, the 864³ is 8,916,544 larger than 860³.
If a cube with a side length of 864 cm is compared to a cube with a side length of 4 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 864 cm is 644,972,544 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 864 means multiplying 864 by itself three times: 864 × 864 = 746,496, and then 746,496 × 864 = 644,972,544. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 644,972,544 cm³.
Estimate the cube 863.5 using the cube 864.
The cube of 863.5 is approximately 644,972,544.
First, identify the cube of 864, The cube of 864 is 864³ = 644,972,544. Since 863.5 is only slightly less than 864, the cube of 863.5 will be almost the same as the cube of 864. The cube of 863.5 is approximately 644,972,544 because the difference between 863.5 and 864 is very small. So, we can approximate the value as 644,972,544.
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 to 8. Volume of a Cube: It is the amount of space occupied by a cube, calculated as the cube of the side length, expressed in cubic units. Perfect Cubes: Numbers that can be expressed as the cube of an integer. For example, 1, 8, 27, etc.
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.