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 when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 961.
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 961 can be written as 961³, which is the exponential form. Or it can also be written in arithmetic form as, 961 × 961 × 961.
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. 961³ = 961 × 961 × 961 Step 2: You get 887,503,681 as the answer. Hence, the cube of 961 is 887,503,681.
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 961 into two parts, as and . Let a = 900 and b = 61, so a + b = 961 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 900³ 3a²b = 3 × 900² × 61 3ab² = 3 × 900 × 61² b³ = 61³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (900 + 61)³ = 900³ + 3 × 900² × 61 + 3 × 900 × 61² + 61³ 961³ = 729000000 + 14823000 + 3345300 + 226981 961³ = 887,503,681 Step 5: Hence, the cube of 961 is 887,503,681.
To find the cube of 961 using a calculator, input the number 961 and use the cube function (if available) or multiply 961 × 961 × 961. This operation calculates the value of 961³, resulting in 887,503,681. 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 1 Step 3: If the calculator has a cube function, press it to calculate 961³. Step 4: If there is no cube function on the calculator, simply multiply 961 three times manually. Step 5: The calculator will display 887,503,681.
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 961?
The cube of 961 is 887,503,681 and the cube root of 961 is approximately 9.844.
First, let’s find the cube of 961. 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 961³ = 887,503,681 Next, we must find the cube root of 961 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 ∛961 ≈ 9.844 Hence the cube of 961 is 887,503,681 and the cube root of 961 is approximately 9.844.
If the side length of the cube is 961 cm, what is the volume?
The volume is 887,503,681 cm³.
Use the volume formula for a cube V = Side³. Substitute 961 for the side length: V = 961³ = 887,503,681 cm³.
How much larger is 961³ than 900³?
961³ – 900³ = 158,503,681.
First find the cube of 961³, that is 887,503,681 Next, find the cube of 900³, which is 729,000,000 Now, find the difference between them using the subtraction method. 887,503,681 – 729,000,000 = 158,503,681 Therefore, the 961³ is 158,503,681 larger than 900³.
If a cube with a side length of 961 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 961 cm is 887,503,681 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 961 means multiplying 961 by itself three times: 961 × 961 = 923,521, and then 923,521 × 961 = 887,503,681. The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube. Therefore, the volume of the cube is 887,503,681 cm³.
Estimate the cube 960.5 using the cube 961.
The cube of 960.5 is approximately 887,503,681.
First, identify the cube of 961, The cube of 961 is 961³ = 887,503,681. Since 960.5 is only a tiny bit less than 961, the cube of 960.5 will be almost the same as the cube of 961. The cube of 960.5 is approximately 887,503,681 because the difference between 960.5 and 961 is very small. So, we can approximate the value as 887,503,681.
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 cube root of a number is a value that, when cubed, 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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