Last updated on May 26th, 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 4.25.
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 4.25 can be written as 4.25³, which is the exponential form. Or it can also be written in arithmetic form as, 4.25 × 4.25 × 4.25.
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In order to check whether a number is a cube number or not, we can use the following three methods: multiplication method, a factor formula (a³), or by using a calculator. These three methods will help you to cube numbers faster and easier without feeling confused or stuck while evaluating the answers.
The multiplication method is a process in mathematics used to find the product of 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. 4.25³ = 4.25 × 4.25 × 4.25
Step 2: You get approximately 76.765625 as the answer. Hence, the cube of 4.25 is approximately 76.765625.
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 4.25 into two parts, as 4 and 0.25. Let a = 4 and b = 0.25, so a + b = 4.25
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 4³ 3a²b = 3 × 4² × 0.25 3ab² = 3 × 4 × 0.25² b³ = 0.25³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(4 + 0.25)³ = 4³ + 3 × 4² × 0.25 + 3 × 4 × 0.25² + 0.25³
4.25³ = 64 + 12 + 0.75 + 0.015625
4.25³ = 76.765625
Step 5: Hence, the cube of 4.25 is approximately 76.765625.
To find the cube of 4.25 using a calculator, input the number 4.25 and use the cube function (if available) or multiply 4.25 × 4.25 × 4.25. This operation calculates the value of 4.25³, resulting in approximately 76.765625. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 4.25
Step 3: If the calculator has a cube function, press it to calculate 4.25³.
Step 4: If there is no cube function on the calculator, simply multiply 4.25 three times manually.
Step 5: The calculator will display approximately 76.765625.
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 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 4.25?
The cube of 4.25 is approximately 76.765625 and the cube root of 4.25 is approximately 1.641.
First, let’s find the cube of 4.25.
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 4.25³ = 76.765625
Next, we must find the cube root of 4.25.
We know that the cube root of a number ‘x’, such that ∛x = y Where ‘x’ is the given number, and y is the cube root value of the number.
So, we get ∛4.25 ≈ 1.641 Hence the cube of 4.25 is approximately 76.765625 and the cube root of 4.25 is approximately 1.641.
If the side length of the cube is 4.25 cm, what is the volume?
The volume is approximately 76.765625 cm³.
Use the volume formula for a cube V = Side³.
Substitute 4.25 for the side length: V = 4.25³ ≈ 76.765625 cm³.
How much larger is 4.25³ than 3.25³?
4.25³ – 3.25³ ≈ 54.515625.
First, find the cube of 4.25, which is approximately 76.765625.
Next, find the cube of 3.25, which is approximately 22.25.
Now, find the difference between them using the subtraction method. 76.765625 – 22.25 = 54.515625
Therefore, 4.25³ is approximately 54.515625 larger than 3.25³.
If a cube with a side length of 4.25 cm is compared to a cube with a side length of 2 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 4.25 cm is approximately 76.765625 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 4.25 means multiplying 4.25 by itself three times: 4.25 × 4.25 = 18.0625, and then 18.0625 × 4.25 = 76.765625.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is approximately 76.765625 cm³.
Estimate the cube 4.3 using the cube 4.25.
The cube of 4.3 is slightly larger than the cube of 4.25.
First, identify the cube of 4.25, The cube of 4.25 is approximately 76.765625.
Since 4.3 is only a bit more than 4.25, the cube of 4.3 will be slightly larger than the cube of 4.25.
So, we can estimate the value to be slightly larger than 76.765625.
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