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 cubes of 947.
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 947 can be written as 947³, which is the exponential form. Or it can also be written in arithmetic form as, 947 × 947 × 947.
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. 947³ = 947 × 947 × 947 Step 2: You get 849,268,123 as the answer. Hence, the cube of 947 is 849,268,123.
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 947 into two parts, as 900 and 47. Let a = 900 and b = 47, so a + b = 947 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 900³ 3a²b = 3 × 900² × 47 3ab² = 3 × 900 × 47² b³ = 47³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (900 + 47)³ = 900³ + 3 × 900² × 47 + 3 × 900 × 47² + 47³ 947³ = 729,000,000 + 114,030,000 + 59,673 + 103,823 947³ = 849,268,123 Step 5: Hence, the cube of 947 is 849,268,123.
To find the cube of 947 using a calculator, input the number 947 and use the cube function (if available) or multiply 947 × 947 × 947. This operation calculates the value of 947³, resulting in 849,268,123. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 9, 4, and 7 Step 3: If the calculator has a cube function, press it to calculate 947³. Step 4: If there is no cube function on the calculator, simply multiply 947 three times manually. Step 5: The calculator will display 849,268,123.
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 947?
The cube of 947 is 849,268,123 and the cube root of 947 is approximately 9.782.
First, let’s find the cube of 947. 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 947³ = 849,268,123 Next, we must find the cube root of 947 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 ∛947 ≈ 9.782 Hence the cube of 947 is 849,268,123 and the cube root of 947 is approximately 9.782.
If the side length of the cube is 947 cm, what is the volume?
The volume is 849,268,123 cm³.
Use the volume formula for a cube V = Side³. Substitute 947 for the side length: V = 947³ = 849,268,123 cm³.
How much larger is 947³ than 900³?
947³ – 900³ = 120,268,123.
First find the cube of 947, that is 849,268,123 Next, find the cube of 900, which is 729,000,000 Now, find the difference between them using the subtraction method. 849,268,123 – 729,000,000 = 120,268,123 Therefore, 947³ is 120,268,123 larger than 900³.
If a cube with a side length of 947 cm is compared to a cube with a side length of 47 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 947 cm is 849,268,123 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 947 means multiplying 947 by itself three times: 947 × 947 = 896,809, and then 896,809 × 947 = 849,268,123. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 849,268,123 cm³.
Estimate the cube 946.9 using the cube 947.
The cube of 946.9 is approximately 849,268,123.
First, identify the cube of 947, The cube of 947 is 947³ = 849,268,123. Since 946.9 is only a tiny bit less than 947, the cube of 946.9 will be almost the same as the cube of 947. The cube of 946.9 is approximately 849,268,123 because the difference between 946.9 and 947 is very small. So, we can approximate the value as 849,268,123.
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 value that, when multiplied by itself three times, gives the original number. For example, the cube root of 8 is 2.
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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