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 902.
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 902 can be written as 902³, which is the exponential form. Or it can also be written in arithmetic form as, 902 × 902 × 902.
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. 902³ = 902 × 902 × 902 Step 2: You get 734,940,808 as the answer. Hence, the cube of 902 is 734,940,808.
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 902 into two parts. Let a = 900 and b = 2, so a + b = 902 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 900³ 3a²b = 3 × 900² × 2 3ab² = 3 × 900 × 2² b³ = 2³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (900 + 2)³ = 900³ + 3 × 900² × 2 + 3 × 900 × 2² + 2³ 902³ = 729,000,000 + 4,860,000 + 10,800 + 8 902³ = 734,940,808 Step 5: Hence, the cube of 902 is 734,940,808.
To find the cube of 902 using a calculator, input the number 902 and use the cube function (if available) or multiply 902 × 902 × 902. This operation calculates the value of 902³, resulting in 734,940,808. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 9 followed by 0 and 2 Step 3: If the calculator has a cube function, press it to calculate 902³. Step 4: If there is no cube function on the calculator, simply multiply 902 three times manually. Step 5: The calculator will display 734,940,808.
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 902?
The cube of 902 is 734,940,808 and the cube root of 902 is approximately 9.646.
First, let’s find the cube of 902. We know that the cube of a number is x³ = y, where x is the given number, and y is the cubed value of that number. So, we get 902³ = 734,940,808. Next, we must find the cube root of 902. We know that the cube root of a number ‘x’ is ∛x = y, where ‘x’ is the given number, and y is the cube root value of the number. So, we get ∛902 ≈ 9.646. Hence the cube of 902 is 734,940,808 and the cube root of 902 is approximately 9.646.
If the side length of the cube is 902 cm, what is the volume?
The volume is 734,940,808 cm³.
Use the volume formula for a cube V = Side³. Substitute 902 for the side length: V = 902³ = 734,940,808 cm³.
How much larger is 902³ than 800³?
902³ – 800³ = 293,340,808.
First, find the cube of 902, which is 734,940,808. Next, find the cube of 800, which is 512,000,000. Now, find the difference between them using the subtraction method. 734,940,808 – 512,000,000 = 222,940,808. Therefore, 902³ is 222,940,808 larger than 800³.
If a cube with a side length of 902 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 902 cm is 734,940,808 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 902 means multiplying 902 by itself three times: 902 × 902 = 813,604, and then 813,604 × 902 = 734,940,808. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 734,940,808 cm³.
Estimate the cube of 901 using the cube of 902.
The cube of 901 is approximately 734,940,808.
First, identify the cube of 902. The cube of 902 is 902³ = 734,940,808. Since 901 is only a tiny bit less than 902, the cube of 901 will be almost the same as the cube of 902. The cube of 901 is approximately 734,940,808 because the difference between 901 and 902 is very small. So, we can approximate the value as 734,940,808.
Binomial Formula: 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: 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. Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number. 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.
: He loves to play the quiz with kids through algebra to make kids love it.