Volume of 3D Shapes

Welcome, Math Investigator

Have you ever wondered or how much diesel can an oil tanker truck transport or how much sand a dump truck hold. In this WebQuest, you will learn about volume of 3D shapes and discover how volume is used in everyday life.

By the end of this activity, you will be able to calculate the volume of different 3D shapes and solve simple real-life problem involving volume.

Your task is to:

1. Learn what volume means.

2. Watch the videos and explore the websites provided.

3. Calculate the volume of different 3D shapes.

4. Complete the worksheet activities

5. Compute the volume capacity of oil tanker truck or dump truck with given container dimensions.

6. Present your answer to the class.

Step 1: Learn About Volume

Watch the videos and read the information on the websites.

https://youtu.be/9qQ-naHa2X8

https://thirdspacelearning.com/gcse-maths/geometry-and-measure/volume-formula/

Step 2: Explore the Resources

Take notes on:

• Definition of volume

• How to calculate volume for different 3D shapes

• The volume formulas for different 3D shapes

Step 3: Practice

Complete the following calculations:

1. A rectangular prism with length of 6 meters, width of 3 meters and height of 3 meters. Find the volume.

2. A sphere with radius of 3 meters. Find the volume.

3. A cylinder with height of 5 meters and radius of 2 meters. Find the volume.

4. A cone with height of 4 meters and radius of 2 meters. Find the volume.

Step 4: Real-Life Activity

Option 1: Volume of diesel in oil tanker truck

        Cylindrical Tank Dimension

       Length: 9 meters

       Radius: 3 meters

Compute volume of diesel.   

Option 2: Volume of Sand in Dump Truck

       Rectangular Box Dimension

       Length: 6 meters

        Width: 3 meters

        Height: 1.5 meters

Compute volume of sand.

Step 5: Share

Present and explain how you calculated the volume.

You have completed the Volume of 3D Shapes WebQuest. By working through this activity, you have learned how to compute volume of different 3D shapes.

Volume computation is the mathematical process of finding the amount of three-dimensional space an object occupies or contains

You can now compute the volume of sphere, rectangular prism, cylinder, cone, pyramid and many other 3D shapes. These knowledge of volume computation can now be applied in your daily life as it is essential for cooking, home improvement, vehicle fuel efficiency and packing.

The information and resources used in this WebQuest were obtained from the following sources:

Youtube (Numerics with Nadia). Retrieved from https://youtu.be/9qQ-naHa2X8

Third Space Learning. Retrieved from https://thirdspacelearning.com/gcse-maths/geometry-and-measure/volume-f…