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 931.
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 multiplied by itself three times results in a negative number. The cube of 931 can be written as 931³, which is the exponential form. Or it can also be written in arithmetic form as 931 × 931 × 931.
In order to check whether a number is a cube number or not, we can use the following three methods: 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. 931³ = 931 × 931 × 931 Step 2: You get 807,343,891 as the answer. Hence, the cube of 931 is 807,343,891.
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 931 into two parts. Let a = 900 and b = 31, so a + b = 931. Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³. Step 3: Calculate each term: a³ = 900³ 3a²b = 3 × 900² × 31 3ab² = 3 × 900 × 31² b³ = 31³ Step 4: Add all the terms together: (900 + 31)³ = 900³ + 3 × 900² × 31 + 3 × 900 × 31² + 31³ 931³ = 729,000,000 + 75,330,000 + 25,797,000 + 29,791 931³ = 807,343,891 Step 5: Hence, the cube of 931 is 807,343,891.
To find the cube of 931 using a calculator, input the number 931 and use the cube function (if available) or multiply 931 × 931 × 931. This operation calculates the value of 931³, resulting in 807,343,891. 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 3 and then 1. Step 3: If the calculator has a cube function, press it to calculate 931³. Step 4: If there is no cube function on the calculator, simply multiply 931 three times manually. Step 5: The calculator will display 807,343,891.
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 931?
The cube of 931 is 807,343,891 and the cube root of 931 is approximately 9.737.
First, let’s find the cube of 931. 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 931³ = 807,343,891 Next, we must find the cube root of 931 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 ∛931 ≈ 9.737 Hence, the cube of 931 is 807,343,891 and the cube root of 931 is approximately 9.737.
If the side length of the cube is 931 cm, what is the volume?
The volume is 807,343,891 cm³.
Use the volume formula for a cube V = Side³. Substitute 931 for the side length: V = 931³ = 807,343,891 cm³.
How much larger is 931³ than 900³?
931³ - 900³ = 78,343,891.
First, find the cube of 931, which is 807,343,891. Next, find the cube of 900, which is 729,000,000. Now, find the difference between them using the subtraction method. 807,343,891 - 729,000,000 = 78,343,891 Therefore, 931³ is 78,343,891 larger than 900³.
If a cube with a side length of 931 cm is compared to a cube with a side length of 31 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 931 cm is 807,343,891 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 931 means multiplying 931 by itself three times: 931 × 931 = 866,761, and then 866,761 × 931 = 807,343,891. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 807,343,891 cm³.
Estimate the cube of 930 using the cube of 931.
The cube of 930 is approximately 807,343,891.
First, identify the cube of 931. The cube of 931 is 931³ = 807,343,891. Since 930 is only slightly less than 931, the cube of 930 will be almost the same as the cube of 931. The cube of 930 is approximately 807,343,891 because the difference between 930 and 931 is very small. So, we can approximate the value as 807,343,891.
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. Volume of a Cube: It is calculated as the side length raised to the power of three. Prime Factorization: It is the process of breaking down a composite number into a product of its prime factors.
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.