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 the cube of 1353.
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 1353 can be written as \(1353^3\), which is the exponential form. Or it can also be written in arithmetic form as, 1353 × 1353 × 1353.
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 (\(a^3\)), 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. 1353³ = 1353 × 1353 × 1353 Step 2: You get 2,476,177,177 as the answer. Hence, the cube of 1353 is 2,476,177,177.
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 1353 into two parts. Let \(a = 1300\) and \(b = 53\), so \(a + b = 1353\). Step 2: Now, apply the formula \((a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3\). Step 3: Calculate each term \(a^3 = 1300^3\) \(3a^2b = 3 × 1300^2 × 53\) \(3ab^2 = 3 × 1300 × 53^2\) \(b^3 = 53^3\) Step 4: Add all the terms together: \((a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3\) \((1300 + 53)^3 = 1300^3 + 3 × 1300^2 × 53 + 3 × 1300 × 53^2 + 53^3\) 1353³ = 2,197,000,000 + 2,680,900 + 10,922,700 + 148,877 1353³ = 2,476,177,177 Step 5: Hence, the cube of 1353 is 2,476,177,177.
To find the cube of 1353 using a calculator, input the number 1353 and use the cube function (if available) or multiply 1353 × 1353 × 1353. This operation calculates the value of \(1353^3\), resulting in 2,476,177,177. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 1, 3, 5, 3 Step 3: If the calculator has a cube function, press it to calculate \(1353^3\). Step 4: If there is no cube function on the calculator, simply multiply 1353 three times manually. Step 5: The calculator will display 2,476,177,177.
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 1353?
The cube of 1353 is 2,476,177,177 and the cube root of 1353 is approximately 11.0803.
First, let’s find the cube of 1353. 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 \(1353^3 = 2,476,177,177\) Next, we must find the cube root of 1353. 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 \(\sqrt[3]{1353} \approx 11.0803\) Hence the cube of 1353 is 2,476,177,177 and the cube root of 1353 is approximately 11.0803.
If the side length of the cube is 1353 cm, what is the volume?
The volume is 2,476,177,177 cm³.
Use the volume formula for a cube \(V = \text{Side}^3\). Substitute 1353 for the side length: \(V = 1353^3 = 2,476,177,177\) cm³.
How much larger is \(1353^3\) than \(1300^3\)?
\(1353^3 - 1300^3 = 279,177,177\).
First, find the cube of \(1353^3\), which is 2,476,177,177. Next, find the cube of \(1300^3\), which is 2,197,000,000. Now, find the difference between them using the subtraction method. 2,476,177,177 - 2,197,000,000 = 279,177,177. Therefore, \(1353^3\) is 279,177,177 larger than \(1300^3\).
If a cube with a side length of 1353 cm is compared to a cube with a side length of 53 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 1353 cm is 2,476,177,177 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 1353 means multiplying 1353 by itself three times: 1353 × 1353 = 1,831,809, and then 1,831,809 × 1353 = 2,476,177,177. The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube. Therefore, the volume of the cube is 2,476,177,177 cm³.
Estimate the cube of 1350 using the cube of 1353.
The cube of 1350 is approximately 2,474,625,000.
First, identify the cube of 1353, The cube of 1353 is \(1353^3 = 2,476,177,177\). Since 1350 is slightly less than 1353, the cube of 1350 will be slightly less than the cube of 1353. The cube of 1350 is approximately 2,474,625,000 because the difference between 1350 and 1353 is small. So, we can approximate the value as 2,474,625,000.
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 × 2 × 2 equals 8. Perfect Cube: A number that can be expressed as the cube of an integer is called a perfect cube. Volume of a Cube: The amount of space occupied by a cube, calculated as the cube of its side length.
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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