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 953.
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 953 can be written as 953³, which is the exponential form. Or it can also be written in arithmetic form as, 953 × 953 × 953.
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. 953³ = 953 × 953 × 953 Step 2: You get 865,585,777 as the answer. Hence, the cube of 953 is 865,585,777.
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 953 into two parts, as 900 and 53. Let a = 900 and b = 53, so a + b = 953 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 900³ 3a²b = 3 × 900² × 53 3ab² = 3 × 900 × 53² b³ = 53³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (900 + 53)³ = 900³ + 3 × 900² × 53 + 3 × 900 × 53² + 53³ 953³ = 729,000,000 + 128,070,000 + 7,552,800 + 148,877 953³ = 865,585,677 Step 5: Hence, the cube of 953 is 865,585,677.
To find the cube of 953 using a calculator, input the number 953 and use the cube function (if available) or multiply 953 × 953 × 953. This operation calculates the value of 953³, resulting in 865,585,777. 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 5, then 3. Step 3: If the calculator has a cube function, press it to calculate 953³. Step 4: If there is no cube function on the calculator, simply multiply 953 three times manually. Step 5: The calculator will display 865,585,777.
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 953?
The cube of 953 is 865,585,777 and the cube root of 953 is approximately 9.843.
First, let’s find the cube of 953. 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 953³ = 865,585,777 Next, we must find the cube root of 953 We know that 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 ∛953 ≈ 9.843 Hence the cube of 953 is 865,585,777 and the cube root of 953 is approximately 9.843.
If the side length of the cube is 953 cm, what is the volume?
The volume is 865,585,777 cm³.
Use the volume formula for a cube V = Side³. Substitute 953 for the side length: V = 953³ = 865,585,777 cm³.
How much larger is 953³ than 900³?
953³ – 900³ = 136,585,777.
First find the cube of 953, that is 865,585,777 Next, find the cube of 900, which is 729,000,000 Now, find the difference between them using the subtraction method. 865,585,777 – 729,000,000 = 136,585,777 Therefore, the 953³ is 136,585,777 larger than 900³.
If a cube with a side length of 953 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 953 cm is 865,585,777 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 953 means multiplying 953 by itself three times: 953 × 953 = 908,209, and then 908,209 × 953 = 865,585,777. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 865,585,777 cm³.
Estimate the cube 952.5 using the cube 953.
The cube of 952.5 is approximately 865,585,777.
First, identify the cube of 953, The cube of 953 is 953³ = 865,585,777. Since 952.5 is only a tiny bit less than 953, the cube of 952.5 will be almost the same as the cube of 953. The cube of 952.5 is approximately 865,585,777 because the difference between 952.5 and 953 is very small. So, we can approximate the value as 865,585,777.
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: Calculated as the cube of the side length, representing the amount of space enclosed. 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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