Home Learn How To How To Find Volume Of A Cube Easily Step By Step

How To Find Volume Of A Cube Easily Step By Step[2020]

How to Calculate the Volume of a Cube

A cube is a three-dimensional figure with equal width, height, and length dimensions. The cube has six square faces, all of which have equal side lengths and all intersect at right angles. Finding the volume of a cube is not difficult at all-usually, all you need to do is multiply the length of the cube by its width and height. Since the lengths of all sides of the cube are equal, another way to represent the volume of the cube is s3, where s is the length of one side of the cube. For a detailed breakdown of these processes, see step 1 below.

Methods:        
  1. Cubing One of the Cube’s Sides
  2. Finding Volume from Surface Area
  3. Finding Volume from Diagonals

Method 1 of 3:

1. Cubing One of the Cube’s Sides

How To Find Volume Of A Cube Easily Step By Step[2020]

A. Determine the length of one side of the cube. Usually in tasks that ask you to find the volume of a cube, you will be given the length of one of the sides of the cube. If you have this information, you can resolve the volume of the cube. If you are not solving abstract mathematical problems, but trying to find the volume of a cube-shaped real object, use a ruler or tape measure to measure the sides of the cube.

  • To better understand the cube volume determination process, let us follow the steps in this section to view an example problem. Assume that the sides of the cube are 2 inches (5.08 cm). We will use this information in the next step to find the cube volume.

B. Side length cube. When you find the length of one side of the cube, cube this number. In other words, double it yourself.If s is the length of the side, you would multiply s × s × s (or, in simplified form, s3).This will give you the volume of your cube!

How To Find Volume Of A Cube Easily Step By Step[2020]
Volume Of A Cube

  • The process is essentially the same as finding the area of the bottom and then multiplying it by the height of the cube (or in other words, length × width × height), because the area of the bottom is determined by multiplying its length and width. Since the length, width and height of the cube are equal, we can shorten this process by simply adding the cube to any of these dimensions.
  • Let’s continue our example. Since the side length of our cube is 2 inches, we can multiply it by 2 x 2 x 2 to find the volume(or 23) = 8.

C. Mark the answer in cubic units. Since volume is a measure of three-dimensional space, by definition, your answer should be in cubic units. Generally, in mathematics classes, ignoring the answer label and the correct unit will result in a decrease in the score of the question, so be sure to use the correct label!

How To Find Volume Of A Cube Easily Step By Step[2020]

  • In our example, since our initial unit of measure is inches, the final answer will be marked in cubic inches (or inches3). So our answer is that 8 will become 8 inches3.
  • If we use a different initial unit of measure, the final cubic unit will be different. For example, if the sides of our cube are 2 meters long instead of 2 inches long, then we will mark it as cubic meters (m3).

Method 2 of 3:

2. Finding Volume from Surface Area

How To Find Volume Of A Cube Easily Step By Step[2020]

A. Find the surface area of your cube. Although the simplest way to find the volume of a cube is to determine the length of the cube’s sides, this is not the only way. The length of the cube’s edges or the area of one of the faces can be obtained from some other properties of the cube, which means that if you start from one of these pieces of
information, you can find the volume of the cube in the solution.For instance, if you know a cube’s surface area, all you need to do to find its volume is to divide the surface area by 6, then take the square root of this value to find the length of the cube’s sides.

From here, you only need to specify the length of the side to find the volume as usual. In this section, we will gradually complete this process.

  • The surface area of the cube is given by formula 6s2, where s is the length of one of the sides of the cube. In fact, this formula is the same as finding the two-dimensional area of the six faces of the cube and adding these values. We use this formula to find the volume of a cube by its surface area.
  • For example, suppose we have a cube with a surface of 50 cm2, but we don’t know its side length. In the next few steps, we will use this information to find the volume of the cube.

 

How To Find Volume Of A Cube Easily Step By Step[2020]

B. Divide the surface area of the cube by 6. Since the cube has 6 equal faces, divide the surface area of the cube by 6 to get the area of one of the faces.This area is equal to the lengths of two of its sides multiplied (l × w, w × h, or h × l).

  • In our example, dividing 50/6 = 8.33 cm2. Don’t forget that the unit of the two-dimensional answer is square (centimete2, inch2, etc.).

 

How To Find Volume Of A Cube Easily Step By Step[2020]

C. Take the square root of this value. Since the area of one face of the cube is s2(s × s), you will find the length of one face of the cube in units of the square root of this value, Now you have enough information to determine the volume of the cube as usual.

  • In our example, √8.33 is roughly 2.89 cm.

How To Find Volume Of A Cube Easily Step By Step[2020]

D. The cube is used to find the value of the cube volume. Now that you have a value for the side length of the cube, just click this value (multiply yourself twice) to find the volume of the cube, as described in the previous section. Congratulations-you discovered the volume of the cube through the surface area of the cube.

  • In our example, 2.89 × 2.89 × 2.89 = 24.14 cm3. Remember to mark your answers in cubic units.

Method 3 of 3:

3. Finding Volume from Diagonals

How To Find Volume Of A Cube Easily Step By Step[2020]

A. Divide the diagonal of any face of the diagonal by √2 to find the length of the opposite side. By definition, the diagonal of a perfect square is √2 × the length of one side. Therefore, if the only information you provide about the cube is about the diagonal length of one of its faces, you can find the side length of the cube by dividing this value by √2. From here, it is relatively easy to define a cube, answer and find the volume of the cube, as described above.

  • For instance, let’s say that one of a cube’s faces has a diagonal that is 7 feet long. We would find the side length of the cube by dividing 7/√2 = 4.96 feet. Now that we know the side length, we can find the volume of the cube by multiplying 4.963 = 122.36 feet3 .
  • Please note that in general d2 = 2s2 , where d is the diagonal length of one face of the cube and s is the length of one face of the cube. This is due to the fact that according to Pythagorean theorem, the square of the hypotenuse of a right triangle is the sum of the squares of the other two sides. Thus, because the diagonal of a cube’s face and two of the sides on that face form a right triangle, d2 = s2 + s2 = 2s2.

How To Find Volume Of A Cube Easily Step By Step[2020]
Volume Of A Cube
B. Diagonally align the two opposite corners of the cube, then divide by 3 and take the square root to find the length of the side. If the only information you provide about the cube is the length of a diagonal line from one corner of the cube to three diagonal segments, you can still find the volume of the cube. Because d forms one of the sides of a right triangle, the diagonal between the two opposite corners of the cube of this right triangle is like a hypotenuse, we can say that D2 = 3s2, where D = the 3-dimensional diagonal between opposite corners of the cube.

  • This is because of the Pythagorean Theorem.D, d, and s form a right triangle with D as the hypotenuse, so we can say that D2 = d2 + s2. Since we calculated above that d2 = 2s2, we can say that D2 = 2s2 + s2 = 3s2.
  • For example, suppose we know that the diagonal from an angle at the bottom of the cube to the opposite angle at the “top” of the cube is 10 meters. If we want to find the volume, we would insert 10 for each “D” in the equation above as follows:
      • D2 = 3s2..
      • 102 = 3s2.
      • 100 = 3s2
      • 33.33 = s
      • 5.77 m = s. From here, all we need to do to find the volume of the cube is to cube the side length.
      • 5.773 = 192.45 m3

___LEARN ALSO___

>> How To Find Percentage Of A Number
>> How To Calculate Volume Of A Cylinder Easy Step By Step

 

Must Read

[HD]KGF Chapter 2 Full Movie Download 1080p 2.4GB

KGF Chapter 2 Full Movie Leaked by Tamilrockers Filmywap  KGF Chapter 2 Full Movie Download 1080p 2.4GB  Now, on the bloody land of the Collar Gold Mine...

How To Find Wifi Password Windows 10 Quickly Step By Step Guide

How to Find the Current WiFi Password in Windows 10 Well, assume that you and your mates all went to your friend's house. To make...

How To Find Volume Of A Cube Easily Step By Step[2020]

How to Calculate the Volume of a Cube A cube is a three-dimensional figure with equal width, height, and length dimensions. The cube has six...

How To Find Percentage Of A Number Best Explanation

How To Find Percentage Of A Number It may be easy to calculate interest. There are many online calculators that can help with tasks by...

How To Calculate Volume Of A Cylinder Easy Step By Step 2020

How To Calculate Volume Of A Cylinder What is Cylinder: A cylinder is a simple geometric shape with two equal sizes and parallel circular bottom...

How To Find Wifi Password On Iphone or iPad [2020]

How To Find Wifi Password On iPhone or iPad Sharing a Wi-Fi password is easy when you know how to see it, How to Find a...

FFMPEG Convert To mp4 – A Full Simple Guide To Convert Media Files by FFMPEG

FFMPEG Convert To mp4 - A Full Simple Guide To Convert Media Files by FFMPEG FFmpeg is a great tool for quickly changing a Media file's...

How To Edit Videos on IPhone Or IPad Guide Step By Step in 2020

How To Edit Videos on iPhone, iPad, iPod touch, or Mac. With a great video editor for iPhone, you can give professional video clips a...

KGF Movie Download In Hindi Leaked by Tamilrockers 1080p

KGF Movie Download In Hindi Leaked by Tamilrockers  KGF Movie Download  Kolar Gold Fields (KGF). The current new governor. Rocky was covered in blood, and his...

Top 10 Free Dating Apps For Singles On a Budget in 2020

Top 10 Free Dating Apps For Singles On a Budget in 2020 Who has time to meet people? When everyone else uses the app on...

Fast Furious 9 Full Movie Hindi Download Tamilrockers Yts.ag

Fast & Furious 9 Full Movie Hindi Download F9 Full Movie Hindi Download: F9: The Fast Saga Full Movie Hindi Download: Fast Furious 9 Full Movie Hindi...

Avengers Endgame Full Movie in Hindi 720p Tamilrockers yts.ag

Avengers Endgame Full Movie in Hindi Download Avengers Endgame Full Movie in Hindi Download> Avengers Endgame: After the disastrous events of Avengers Infinity War (2018), the...

Which is Better iPhone or Android Lets Dig Into The Depth

Which is Better iPhone or Android When it comes to buying the best smartphones, you can go to several companies, no matter which one you...

Best Photo Editing Software For PC You Can Use Simply

Best Photo Editing Software 2020 If you are looking for free photo editing software, then you are at the right place, where we have a...

Kabir Singh Full Movie Download HD From yts.ag Tamilrockers Filmywap Worldfree4u

9Kabir Singh Movie Full HD 1080p Kabir Singh Full Movie Kabir Singh is an Indian Hindi language drama film written and directed by Sandeep Banga. It...