Having trouble dealing with How to Calculate the Volume of 3D Shapes Don’t worry my online Math lessons have got your back.

In this video, I will be teaching you guys on how to calculate the volume of various 3D Shapes (Cylinder, Cone, Sphere, Hemi-Sphere & Triangular Prism)

What is ‘Volume’? Volume is the amount of space taken by an object.

What is a ‘Cylinder’?
A cylinder is a 3-dimensional shape that has 2 equal circles on both ends that are joined by a curved tube-like shape.

We can get the formula of volume of a cylinder by the following steps below:
Calculate the surface area of any one of the circles of the cylinder.
Multiply it with the height of the cylinder.

REAL LIFE APPLICATIONS OF VOLUME OF CYLINDER

A cylinder is a shape with many applications in our daily lives. It is mostly used as a container. In the below examples the volume of the cylindrical-shaped objects plays an important role in their use and application.
Aquariums

Steel and tin cans
➔ A small can of pet food with a small volume has a lower price as compared to a large can with a large volume.
Graduated cylinders and beakers
➔ Their volume is required for experimental purposes in labs.
Buckets
Transportation cylinders
➔ The containers in which substances like oil and petrol are transported are cylinders. The volume of each container needs to be calculated for various reasons.
Gas and hydraulic cylinders

What is ‘Triangular Prism’?
A triangular prism is a three-dimensional solid figure made up of two triangles and three rectangles.

The volume of the triangular prism is found by dividing a triangular prism into different shapes and then using the formula accordingly. This is done in two steps.

Firstly, the area of the triangle is calculated using the formula.
Next, the answer is multiplied by the length of the rectangle.

So, the formula becomes:

Volume of Triangular Prism = Area of triangle X Length of the rectangle

Volume = [(½)bh] x l
The unit of measurement of the volume of a triangular prism is in ‘cube’ terms.

REAL LIFE APPLICATIONS OF VOLUME OF TRIANGULAR PRISM

Below are some real life applications of this concept for a better understanding.

Packaging for the transportation of triangular prism-shaped decoration pieces in a container requires the information about their volume.

The accommodation of tourists in a triangular prism-shaped camping tent can be viewed in terms of volume.

Material required for the construction of the triangular roof of a building.

I will use the method of finding the area of the base then multiplying it with the length/height to get the volume of the triangular prism.

The volume of the hemisphere can be found by taking half of the volume of the sphere.

Volume of a Sphere = (4/3)πr^3
Thereby,
Volume of a Hemisphere = (½)x(4/3)πr^3

REAL LIFE APPLICATIONS OF VOLUME OF A HEMISPHERE

Consider a pumpkin. If cut half would result in two hemispheres. If a person wants to know the space half pumpkin occupies, one has to find the volume of hemisphere shaped pumpkin.
The dome of buildings is also hemisphere shaped. Material required for its construction and decoration demands the knowledge of its volume.
A glass bowl is hemisphere shaped. If a person wants to know the quantity of water or milk the glass bowl can hold, it is important to know about the volume of the glass bowl.
Construction of a hemisphere shaped water tank. If a person wants to construct a water tank of a certain size, one must know the volume of metal to be used in its construction.
Packaging for the transportation of hemisphere shaped decoration pieces requires information about their volume.

I hope this video helped! If it did, be sure to SUBSCRIBE for more content. Thanks for watching!

To find the area of a triangle, please watch my video:    • How to Calculate Area of a Triangle |...  

Watch Math tutorials with Maths with Mr.Sa.

About Math with Mr.Sa (Teacher Satya): This channel offers instructional videos that go step-by-step thoroughly on various topics for Grades 5 – 10. The videos can be used to introduce content, reteach content, or as an extra study guide/tool to enhance understanding. Teachers, parents/guardians, and students all over the world have used this channel to help with math content in many different ways. The Math Videos from this channel will cover topics that follow the IGCSE, GED, CBSE, THAI, and MANITOBA curriculums.

Follow me on Facebook: web.facebook.com/TeacherSatya
Follow me on Twitter: @TeacherSatya
Visit www.mathswithmrsa.com for more free math videos and extra based content.

#shorts #volumeof3dshapes #volumemaths