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 916.
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 916 can be written as \( 916^3 \), which is the exponential form. Or it can also be written in arithmetic form as \( 916 \times 916 \times 916 \).
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 (\( a^3 \)), or by using a calculator. These three methods will help calculate the cube of 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. \( 916^3 = 916 \times 916 \times 916 \) Step 2: You get 768,808,256 as the answer. Hence, the cube of 916 is 768,808,256.
The formula \((a + b)^3\) is a binomial formula for finding the cube of a number. The formula is expanded as \( a^3 + 3a^2b + 3ab^2 + b^3 \). Step 1: Split the number 916 into two parts, such as 900 and 16. Let \( a = 900 \) and \( b = 16 \), so \( a + b = 916 \). Step 2: Now, apply the formula \((a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3 \). Step 3: Calculate each term: \( a^3 = 900^3 \) \( 3a^2b = 3 \times 900^2 \times 16 \) \( 3ab^2 = 3 \times 900 \times 16^2 \) \( b^3 = 16^3 \) Step 4: Add all the terms together: \( (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3 \) \( (900 + 16)^3 = 900^3 + 3 \times 900^2 \times 16 + 3 \times 900 \times 16^2 + 16^3 \) \( 916^3 = 729,000,000 + 388,800 + 691,200 + 4,096 \) \( 916^3 = 768,808,256 \) Step 5: Hence, the cube of 916 is 768,808,256.
To find the cube of 916 using a calculator, input the number 916 and use the cube function (if available) or multiply \( 916 \times 916 \times 916 \). This operation calculates the value of \( 916^3 \), resulting in 768,808,256. 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 1 and 6. Step 3: If the calculator has a cube function, press it to calculate \( 916^3 \). Step 4: If there is no cube function on the calculator, simply multiply 916 three times manually. Step 5: The calculator will display 768,808,256.
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 might occur during the process of cubing a number. Let us take a look at five of the major mistakes that might be made:
What is the cube and cube root of 916?
The cube of 916 is 768,808,256, and the cube root of 916 is approximately 9.728.
First, let’s find the cube of 916. We know that the cube of a number is \( x^3 = y \) where \( x \) is the given number, and \( y \) is the cubed value of that number. So, we get \( 916^3 = 768,808,256 \). Next, we must find the cube root of 916. We know that the cube root of a number \( x \), such that \( \sqrt[3]{x} = y \) where \( x \) is the given number, and \( y \) is the cube root value of the number. So, we approximate \( \sqrt[3]{916} \approx 9.728 \). Hence, the cube of 916 is 768,808,256, and the cube root of 916 is approximately 9.728.
If the side length of the cube is 916 cm, what is the volume?
The volume is 768,808,256 cm³.
Use the volume formula for a cube \( V = \text{Side}^3 \). Substitute 916 for the side length: \( V = 916^3 = 768,808,256 \) cm³.
How much larger is \( 916^3 \) than \( 900^3 \)?
\( 916^3 - 900^3 = 39,648,256 \).
First, find the cube of 916, which is 768,808,256. Next, find the cube of 900, which is 729,000,000. Now, find the difference between them using the subtraction method. 768,808,256 - 729,000,000 = 39,648,256. Therefore, \( 916^3 \) is 39,648,256 larger than \( 900^3 \).
If a cube with a side length of 916 cm is compared to a cube with a side length of 10 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 916 cm is 768,808,256 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 916 means multiplying 916 by itself three times: 916 × 916 = 839,056, and then 839,056 × 916 = 768,808,256. The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube. Therefore, the volume of the cube is 768,808,256 cm³.
Estimate the cube of 915.9 using the cube of 916.
The cube of 915.9 is approximately 768,808,256.
First, identify the cube of 916, The cube of 916 is \( 916^3 = 768,808,256 \). Since 915.9 is only slightly less than 916, the cube of 915.9 will be almost the same as the cube of 916. The cube of 915.9 is approximately 768,808,256 because the difference between 915.9 and 916 is very small. So, we can approximate the value as 768,808,256.
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, \(2^3\) represents \(2 \times 2 \times 2\) equals 8. Volume of a Cube: The amount of space inside a cube, calculated as the side length raised to the power of three. Perfect Cube: A number that can be expressed as the cube of an integer.
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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