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 often used in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 968.
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 968 can be written as 968³, which is the exponential form. Or it can also be written in arithmetic form as, 968 × 968 × 968.
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. 968³ = 968 × 968 × 968 Step 2: You get 906,992,832 as the answer. Hence, the cube of 968 is 906,992,832.
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 968 into two parts, as 900 and 68. Let a = 900 and b = 68, so a + b = 968 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 900³ 3a²b = 3 × 900² × 68 3ab² = 3 × 900 × 68² b³ = 68³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (900 + 68)³ = 900³ + 3 × 900² × 68 + 3 × 900 × 68² + 68³ 968³ = 729,000,000 + 163,080,000 + 12,484,800 + 314,432 968³ = 906,992,832 Step 5: Hence, the cube of 968 is 906,992,832.
To find the cube of 968 using a calculator, input the number 968 and use the cube function (if available) or multiply 968 × 968 × 968. This operation calculates the value of 968³, resulting in 906,992,832. 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 6 and 8 Step 3: If the calculator has a cube function, press it to calculate 968³. Step 4: If there is no cube function on the calculator, simply multiply 968 three times manually. Step 5: The calculator will display 906,992,832.
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 968?
The cube of 968 is 906,992,832 and the cube root of 968 is approximately 9.844.
First, let’s find the cube of 968. 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 968³ = 906,992,832 Next, we must find the cube root of 968 We know that the cube root of a number ‘x’, such that ³√x = y Where ‘x’ is the given number, and y is the cube root value of the number So, we get ³√968 ≈ 9.844 Hence the cube of 968 is 906,992,832 and the cube root of 968 is approximately 9.844.
If the side length of the cube is 968 cm, what is the volume?
The volume is 906,992,832 cm³.
Use the volume formula for a cube V = Side³. Substitute 968 for the side length: V = 968³ = 906,992,832 cm³.
How much larger is 968³ than 900³?
968³ – 900³ = 177,992,832.
First, find the cube of 968³, that is 906,992,832. Next, find the cube of 900³, which is 729,000,000. Now, find the difference between them using the subtraction method. 906,992,832 – 729,000,000 = 177,992,832 Therefore, 968³ is 177,992,832 larger than 900³.
If a cube with a side length of 968 cm is compared to a cube with a side length of 68 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 968 cm is 906,992,832 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 968 means multiplying 968 by itself three times: 968 × 968 = 937,024, and then 937,024 × 968 = 906,992,832. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 906,992,832 cm³.
Estimate the cube of 967 using the cube of 968.
The cube of 967 is approximately 906,992,832.
First, identify the cube of 968. The cube of 968 is 968³ = 906,992,832. Since 967 is only slightly less than 968, the cube of 967 will be almost the same as the cube of 968. The cube of 967 is approximately 906,992,832 because the difference between 967 and 968 is very small. So, we can approximate the value as 906,992,832.
Binomial Formula: An algebraic expression used to expand the powers of a number, written as (a + b)ⁿ, where ‘n’ is a positive integer. 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 8. Perfect Cube: A number that can be expressed as the cube of an integer. 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.
: He loves to play the quiz with kids through algebra to make kids love it.