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 948.
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 948 can be written as 948³, which is the exponential form. Or it can also be written in arithmetic form as, 948 × 948 × 948.
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 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. 948³ = 948 × 948 × 948 Step 2: You get 851,841,792 as the answer. Hence, the cube of 948 is 851,841,792.
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 948 into two parts. Let a = 900 and b = 48, so a + b = 948 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 900³ 3a²b = 3 × 900² × 48 3ab² = 3 × 900 × 48² b³ = 48³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (900 + 48)³ = 900³ + 3 × 900² × 48 + 3 × 900 × 48² + 48³ 948³ = 729,000,000 + 116,640,000 + 62,208,000 + 110,592 948³ = 851,841,792 Step 5: Hence, the cube of 948 is 851,841,792.
To find the cube of 948 using a calculator, input the number 948 and use the cube function (if available) or multiply 948 × 948 × 948. This operation calculates the value of 948³, resulting in 851,841,792. 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 8 Step 3: If the calculator has a cube function, press it to calculate 948³. Step 4: If there is no cube function on the calculator, simply multiply 948 three times manually. Step 5: The calculator will display 851,841,792.
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 948?
The cube of 948 is 851,841,792 and the cube root of 948 is approximately 9.821.
First, let’s find the cube of 948. 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 948³ = 851,841,792 Next, we must find the cube root of 948 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 ∛948 ≈ 9.821 Hence the cube of 948 is 851,841,792 and the cube root of 948 is approximately 9.821.
If the side length of the cube is 948 cm, what is the volume?
The volume is 851,841,792 cm³.
Use the volume formula for a cube V = Side³. Substitute 948 for the side length: V = 948³ = 851,841,792 cm³.
How much larger is 948³ than 900³?
948³ – 900³ = 122,841,792.
First find the cube of 948³, that is 851,841,792 Next, find the cube of 900³, which is 729,000,000 Now, find the difference between them using the subtraction method. 851,841,792 – 729,000,000 = 122,841,792 Therefore, the 948³ is 122,841,792 larger than 900³.
If a cube with a side length of 948 cm is compared to a cube with a side length of 50 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 948 cm is 851,841,792 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 948 means multiplying 948 by itself three times: 948 × 948 = 898,704, and then 898,704 × 948 = 851,841,792. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 851,841,792 cm³.
Estimate the cube 947.9 using the cube 948.
The cube of 947.9 is approximately 851,841,792.
First, identify the cube of 948, The cube of 948 is 948³ = 851,841,792. Since 947.9 is only a tiny bit less than 948, the cube of 947.9 will be almost the same as the cube of 948. The cube of 947.9 is approximately 851,841,792 because the difference between 947.9 and 948 is very small. So, we can approximate the value as 851,841,792.
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, 3³ represents 3 × 3 × 3 equals 27. Volume of a Cube: The space inside a cube, calculated using the formula V = side length³. Cube Root: The number that, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3, as 3 × 3 × 3 = 27.
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.