Last updated on July 1st, 2025
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 1344.
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 1344 can be written as 1344³, which is the exponential form. Or it can also be written in arithmetic form as 1344 × 1344 × 1344.
To check whether a number is a cube number, we can use the following three methods: multiplication method, a factor formula (a³), or by using a calculator. These three methods help in cubing numbers faster and easier without confusion 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. 1344³ = 1344 × 1344 × 1344 Step 2: You get 2,430,084,096 as the answer. Hence, the cube of 1344 is 2,430,084,096.
The formula (a + b)³ is a binomial formula for finding the cube of a number. The formula is expanded as a³ + 3a²b + 3ab² + b³. Step 1: Split the number 1344 into two parts. Let a = 1300 and b = 44, so a + b = 1344 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 1300³ 3a²b = 3 × 1300² × 44 3ab² = 3 × 1300 × 44² b³ = 44³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1300 + 44)³ = 1300³ + 3 × 1300² × 44 + 3 × 1300 × 44² + 44³ 1344³ = 2,197,000,000 + 222,640,000 + 75,680,000 + 85,184 1344³ = 2,430,084,096 Step 5: Hence, the cube of 1344 is 2,430,084,096.
To find the cube of 1344 using a calculator, input the number 1344 and use the cube function (if available) or multiply 1344 × 1344 × 1344. This operation calculates the value of 1344³, resulting in 2,430,084,096. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 1 followed by 344 Step 3: If the calculator has a cube function, press it to calculate 1344³. Step 4: If there is no cube function on the calculator, simply multiply 1344 three times manually. Step 5: The calculator will display 2,430,084,096.
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 be made during the process of cubing a number. Let us take a look at five of the major mistakes that might occur:
What is the cube and cube root of 1344?
The cube of 1344 is 2,430,084,096 and the cube root of 1344 is approximately 11.0807.
First, let’s find the cube of 1344. We know that the cube of a number, such that x³ = y Where x is the given number, and y is the cubed value of that number So, we get 1344³ = 2,430,084,096 Next, we must find the cube root of 1344 We know that the cube root of a number ‘x’, such that ³√x = y Where ‘x’ is the given number, and y is the cube root value of the number So, we get ³√1344 ≈ 11.0807 Hence the cube of 1344 is 2,430,084,096 and the cube root of 1344 is approximately 11.0807.
If the side length of the cube is 1344 cm, what is the volume?
The volume is 2,430,084,096 cm³.
Use the volume formula for a cube V = Side³. Substitute 1344 for the side length: V = 1344³ = 2,430,084,096 cm³.
How much larger is 1344³ than 1300³?
1344³ – 1300³ = 233,084,096.
First find the cube of 1344, which is 2,430,084,096. Next, find the cube of 1300, which is 2,197,000,000. Now, find the difference between them using the subtraction method. 2,430,084,096 – 2,197,000,000 = 233,084,096 Therefore, 1344³ is 233,084,096 larger than 1300³.
If a cube with a side length of 1344 cm is compared to a cube with a side length of 300 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 1344 cm is 2,430,084,096 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 1344 means multiplying 1344 by itself three times: 1344 × 1344 × 1344 = 2,430,084,096. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 2,430,084,096 cm³.
Estimate the cube 1343.9 using the cube of 1344.
The cube of 1343.9 is approximately 2,430,084,096.
First, identify the cube of 1344, The cube of 1344 is 1344³ = 2,430,084,096. Since 1343.9 is only a tiny bit less than 1344, the cube of 1343.9 will be almost the same as the cube of 1344. The cube of 1343.9 is approximately 2,430,084,096 because the difference between 1343.9 and 1344 is very small. So, we can approximate the value as 2,430,084,096.
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, 2³ represents 2 × 2 × 2 equals 8. Perfect Cube: A number that is the cube of an integer is called a perfect cube. Volume of a Cube: The amount of space enclosed within a cube, calculated as the side length cubed (Side³).
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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