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 937.
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 937 can be written as \(937^3\), which is the exponential form. Or it can also be written in arithmetic form as \(937 \times 937 \times 937\).
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 learners to cube 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. \[937^3 = 937 \times 937 \times 937\] Step 2: You get 823,543,153 as the answer. Hence, the cube of 937 is 823,543,153.
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 937 into two parts, such as 900 and 37. Let \(a = 900\) and \(b = 37\), so \(a + b = 937\). Step 2: Now, apply the formula \((a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3\). Step 3: Calculate each term \(a^3= 900^3\) \(3a^2b = 3 \times 900^2 \times 37\) \(3ab^2 = 3 \times 900 \times 37^2\) \(b^3 = 37^3\) Step 4: Add all the terms together: \((a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3\) \((900 + 37)^3 = 900^3 + 3 \times 900^2 \times 37 + 3 \times 900 \times 37^2 + 37^3\) \[937^3 = 729,000,000 + 89,910,000 + 36,963,000 + 50,653\] \[937^3 = 823,543,153\] Step 5: Hence, the cube of 937 is 823,543,153.
To find the cube of 937 using a calculator, input the number 937 and use the cube function (if available) or multiply \(937 \times 937 \times 937\). This operation calculates the value of \(937^3\), resulting in 823,543,153. 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 7. Step 3: If the calculator has a cube function, press it to calculate \(937^3\). Step 4: If there is no cube function on the calculator, simply multiply 937 three times manually. Step 5: The calculator will display 823,543,153.
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 learners might make during the process of cubing a number. Let us take a look at five of the major mistakes that learners might make:
What is the cube and cube root of 937?
The cube of 937 is 823,543,153 and the cube root of 937 is approximately 9.789.
First, let’s find the cube of 937. We know that the cube of a number, such that \(x^3 = y\), where \(x\) is the given number, and \(y\) is the cubed value of that number. So, we get \(937^3= 823,543,153\). Next, we must find the cube root of 937. 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 get \(\sqrt[3]{937} \approx 9.789\). Hence, the cube of 937 is 823,543,153, and the cube root of 937 is approximately 9.789.
If the side length of the cube is 937 cm, what is the volume?
The volume is 823,543,153 cm³.
Use the volume formula for a cube \(V = \text{Side}^3\). Substitute 937 for the side length: \(V = 937^3 = 823,543,153 \text{ cm}^3\).
How much larger is \(937^3\) than \(900^3\)?
\(937^3 - 900^3 = 94,543,153\).
First, find the cube of \(937^3\), which is 823,543,153. Next, find the cube of \(900^3\), which is 729,000,000. Now, find the difference between them using the subtraction method. 823,543,153 - 729,000,000 = 94,543,153. Therefore, \(937^3\) is 94,543,153 larger than \(900^3\).
If a cube with a side length of 937 cm is compared to a cube with a side length of 37 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 937 cm is 823,543,153 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 937 means multiplying 937 by itself three times: \(937 \times 937 \times 937 = 823,543,153\). The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 823,543,153 cm³.
Estimate the cube of 936.9 using the cube of 937.
The cube of 936.9 is approximately 823,543,153.
First, identify the cube of 937. The cube of 937 is \(937^3 = 823,543,153\). Since 936.9 is only a tiny bit less than 937, the cube of 936.9 will be almost the same as the cube of 937. The cube of 936.9 is approximately 823,543,153 because the difference between 936.9 and 937 is very small. So, we can approximate the value as 823,543,153.
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. Perfect Cube: A number that can be expressed as the product of an integer multiplied by itself twice more. 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.
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