Last updated on July 2nd, 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 1364.
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 1364 can be written as \(1364^3\), which is the exponential form. Or it can also be written in arithmetic form as, \(1364 \times 1364 \times 1364\).
In order to check whether a number is a cube number or not, we can use the following three methods, such as 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. \(1364^3 = 1364 \times 1364 \times 1364\) Step 2: You get 2,538,073,344 as the answer. Hence, the cube of 1364 is 2,538,073,344.
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 1364 into two parts, as 1300 and 64. Let \(a = 1300\) and \(b = 64\), so \(a + b = 1364\) Step 2: Now, apply the formula \((a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3\) Step 3: Calculate each term \(a^3 = 1300^3\) \(3a^2b = 3 \times 1300^2 \times 64\) \(3ab^2 = 3 \times 1300 \times 64^2\) \(b^3 = 64^3\) Step 4: Add all the terms together: \((a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3\) \((1300 + 64)^3 = 1300^3 + 3 \times 1300^2 \times 64 + 3 \times 1300 \times 64^2 + 64^3\) \(1364^3 = 2,197,000,000 + 327,680,000 + 159,744,000 + 262,144\) \(1364^3 = 2,538,073,344\) Step 5: Hence, the cube of 1364 is 2,538,073,344.
To find the cube of 1364 using a calculator, input the number 1364 and use the cube function (if available) or multiply \(1364 \times 1364 \times 1364\). This operation calculates the value of \(1364^3\), resulting in 2,538,073,344. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Input 1364 Step 3: If the calculator has a cube function, press it to calculate \(1364^3\). Step 4: If there is no cube function on the calculator, simply multiply 1364 three times manually. Step 5: The calculator will display 2,538,073,344.
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 1364?
The cube of 1364 is 2,538,073,344, and the cube root of 1364 is approximately 11.080.
First, let’s find the cube of 1364. 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 \(1364^3 = 2,538,073,344\) Next, we must find the cube root of 1364 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 \(\sqrt[3]{1364} \approx 11.080\) Hence, the cube of 1364 is 2,538,073,344 and the cube root of 1364 is approximately 11.080.
If the side length of the cube is 1364 cm, what is the volume?
The volume is 2,538,073,344 cm\(^3\).
Use the volume formula for a cube \(V = \text{Side}^3\). Substitute 1364 for the side length: \(V = 1364^3 = 2,538,073,344\) cm\(^3\).
How much larger is \(1364^3\) than \(1000^3\)?
\(1364^3 - 1000^3 = 1,538,073,344\).
First, find the cube of \(1364^3\), that is 2,538,073,344 Next, find the cube of \(1000^3\), which is 1,000,000,000 Now, find the difference between them using the subtraction method. 2,538,073,344 - 1,000,000,000 = 1,538,073,344 Therefore, the \(1364^3\) is 1,538,073,344 larger than \(1000^3\).
If a cube with a side length of 1364 cm is compared to a cube with a side length of 500 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 1364 cm is 2,538,073,344 cm\(^3\).
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 1364 means multiplying 1364 by itself three times: \(1364 \times 1364 = 1,861,696\), and then \(1,861,696 \times 1364 = 2,538,073,344\). The unit of volume is cubic centimeters (cm\(^3\)), because we are calculating the space inside the cube. Therefore, the volume of the cube is 2,538,073,344 cm\(^3\).
Estimate the cube of 1363 using the cube of 1364.
The cube of 1363 is approximately 2,535,989,947.
First, identify the cube of 1364, The cube of 1364 is \(1364^3 = 2,538,073,344\). Since 1363 is only slightly less than 1364, the cube of 1363 will be slightly less than the cube of 1364. The cube of 1363 is approximately 2,535,989,947 because the difference between 1363 and 1364 is very small. So, we can approximate the value.
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 to 8. Perfect Cube: A number that is the cube of an integer. Cube Root: The number 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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