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Last updated on August 5, 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 -2744.
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 multiplying a negative number by itself three times results in a negative number.
The cube of -2744 can be written as , which is the exponential form.
Or it can also be written in arithmetic form as, .
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To verify whether a number is a cube number, we can use the following three methods: the multiplication method, a factor formula (), or by using a calculator. These methods will help compute the cube of numbers faster and easier without confusion or errors during evaluation.
The multiplication method is a process in mathematics used to find the product of numbers 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.
Step 2: The answer is -20,582,542,016. Hence, the cube of -2744 is -20,582,542,016.
The formula is a binomial formula for finding the cube of a number. The formula is expanded as .
Step 1: Split the number -2744 into two parts, as and . Let and , so
Step 2: Now, apply the formula
Step 3: Calculate each term
Step 4: Add all the terms together:
Step 5: Hence, the cube of -2744 is -20,582,542,016.
To find the cube of -2744 using a calculator, input the number -2744 and use the cube function (if available) or multiply . This operation calculates the value of , resulting in -20,582,542,016. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Input -2744.
Step 3: If the calculator has a cube function, press it to calculate .
Step 4: If there is no cube function on the calculator, simply multiply -2744 three times manually.
Step 5: The calculator will display -20,582,542,016.
There are some typical errors that might occur during the process of cubing a number. Let us take a look at five of the major mistakes that might happen:
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What is the cube and cube root of -2744?
The cube of -2744 is -20,582,542,016 and the cube root of -2744 is -14.
First, let’s find the cube of -2744.
We know that the cube of a number, such that
Where is the given number, and is the cubed value of that number
So, we get
Next, we must find the cube root of -2744
We know that the cube root of a number , such that
Where is the given number, and is the cube root value of the number
So, we get
Hence the cube of -2744 is -20,582,542,016 and the cube root of -2744 is -14.
If the side length of the cube is -2744 cm, what is the volume?
The volume is -20,582,542,016 cm³.
Use the volume formula for a cube .
Substitute -2744 for the side length: .
How much larger is than ?
.
First find the cube of , which is -20,582,542,016.
Next, find the cube of , which is -8,000,000,000.
Now, find the difference between them using the subtraction method.
Therefore, is -12,582,542,016 larger than .
If a cube with a side length of -2744 cm is compared to a cube with a side length of -1000 cm, how much larger is the volume of the first cube?
The volume of the cube with a side length of -2744 cm is -20,582,542,016 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing -2744 means multiplying -2744 by itself three times: , and then .
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is -20,582,542,016 cm³.
Estimate the cube of -2740 using the cube of -2744.
The cube of -2740 is approximately -20,582,542,016.
First, identify the cube of -2744,
The cube of -2744 is .
Since -2740 is only a tiny bit more than -2744, the cube of -2740 will be almost the same as the cube of -2744.
The cube of -2740 is approximately -20,582,542,016 because the difference between -2740 and -2744 is very small.
So, we can approximate the value as -20,582,542,016.
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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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