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 cubes of 936.
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 936 can be written as \(936^3\), which is the exponential form. Or it can also be written in arithmetic form as \(936 \times 936 \times 936\).
In order to check whether a number is a cube number or not, we can use the following three methods: the multiplication method, a factor formula (\(a^3\)), 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. \(936^3 = 936 \times 936 \times 936\) Step 2: You get 820,952,576 as the answer. Hence, the cube of 936 is 820,952,576.
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 936 into two parts, such as 900 and 36. Let \(a = 900\) and \(b = 36\), so \(a + b = 936\). Step 2: Now, apply the formula \((a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3\). Step 3: Calculate each term: \(a^3 = 900^3\) \(3a^2b = 3 \times 900^2 \times 36\) \(3ab^2 = 3 \times 900 \times 36^2\) \(b^3 = 36^3\) Step 4: Add all the terms together: \((a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3\) \((900 + 36)^3 = 900^3 + 3 \times 900^2 \times 36 + 3 \times 900 \times 36^2 + 36^3\) \(936^3 = 729,000,000 + 87,480,000 + 34,992,000 + 46,656\) \(936^3 = 820,952,576\) Step 5: Hence, the cube of 936 is 820,952,576.
To find the cube of 936 using a calculator, input the number 936 and use the cube function (if available) or multiply \(936 \times 936 \times 936\). This operation calculates the value of \(936^3\), resulting in 820,952,576. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 9, 3, followed by 6. Step 3: If the calculator has a cube function, press it to calculate \(936^3\). Step 4: If there is no cube function on the calculator, simply multiply 936 three times manually. Step 5: The calculator will display 820,952,576.
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 936?
The cube of 936 is 820,952,576 and the cube root of 936 is approximately 9.726.
First, let’s find the cube of 936. We know that the cube of a number is such that \(x^3 = y\), where \(x\) is the given number, and \(y\) is the cubed value of that number. So, we get \(936^3 = 820,952,576\). Next, we must find the cube root of 936. We know that the cube root of a number \(x\) is such that \(\sqrt[3]{x} = y\), where \(x\) is the given number, and \(y\) is the cube root value of the number. So, we get \(\sqrt[3]{936} \approx 9.726\). Hence, the cube of 936 is 820,952,576 and the cube root of 936 is approximately 9.726.
If the side length of a cube is 936 cm, what is the volume?
The volume is 820,952,576 cm³.
Use the volume formula for a cube \(V = \text{Side}^3\). Substitute 936 for the side length: \(V = 936^3 = 820,952,576 \text{ cm}^3\).
How much larger is \(936^3\) than \(900^3\)?
\(936^3 - 900^3 = 91,652,576\).
First, find the cube of 936, which is 820,952,576. Next, find the cube of 900, which is 729,000,000. Now, find the difference between them using the subtraction method. \(820,952,576 - 729,000,000 = 91,652,576\). Therefore, \(936^3\) is 91,652,576 larger than \(900^3\).
If a cube with a side length of 936 cm is compared to a cube with a side length of 36 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 936 cm is 820,952,576 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 936 means multiplying 936 by itself three times: \(936 \times 936 = 876,096\), and then \(876,096 \times 936 = 820,952,576\). The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube. Therefore, the volume of the cube is 820,952,576 cm³.
Estimate the cube 935.5 using the cube 936.
The cube of 935.5 is approximately 820,952,576.
First, identify the cube of 936. The cube of 936 is \(936^3 = 820,952,576\). Since 935.5 is only slightly less than 936, the cube of 935.5 will be almost the same as the cube of 936. The cube of 935.5 is approximately 820,952,576 because the difference between 935.5 and 936 is very small. So, we can approximate the value as 820,952,576.
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, \(2^3\) represents \(2 \times 2 \times 2\) equals 8. Binomial Formula: 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. Perfect Cube: A number that can be expressed as the cube of an integer, meaning it is the result of multiplying an integer by itself twice more. Cube Root: The value that, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3, because \(3^3 = 27\).
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.
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