Calculating Volumes of Prisms and Cuboids
Learn how to calculate the volume of prisms and cuboids of different shapes through various examples and explanations. Explore the concepts, formulas, and applications in geometry.
Download Presentation
Please find below an Image/Link to download the presentation.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.
You are allowed to download the files provided on this website for personal or commercial use, subject to the condition that they are used lawfully. All files are the property of their respective owners.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.
E N D
Presentation Transcript
1cm 1cm 1cm = 1 cm3 5 cm Calculate the volume of this cuboid How many ways can find to do this? RETRIEVE INSTRUCT PRACTISE SECURE
1cm 1cm 1cm = 1 cm3 5 cm Cross-Section = 12 cm3 Length = 5 cm Volume of a prism = Cross-Section Length Volume = 12 5 = 60 cm3 RETRIEVE INSTRUCT PRACTISE SECURE
Cuboid Pentagonal prism Triangular prism RETRIEVE INSTRUCT PRACTISE SECURE
The Volume of a Prism The Volume of a Prism How would you find the volume of the cuboid? How could you alter this to find the volume of the triangular prism? What about the pentagonal prism? Cuboid Pentagonal prism Triangular prism RETRIEVE INSTRUCT PRACTISE SECURE
The Volume of a Prism Volume of a prism = area of cross-section x height* *height = distance between two ends Cuboid Pentagonal prism Triangular prism RETRIEVE INSTRUCT PRACTISE SECURE
Volume of a prism = area of cross-section x height* *height = distance between two ends 10cm 18cm2 RETRIEVE INSTRUCT PRACTISE SECURE
Volume of a prism = area of cross-section x height* *height = distance between two ends 20cm 5cm 8cm RETRIEVE INSTRUCT PRACTISE SECURE
Volume of a prism = area of cross-section x height* *height = distance between two ends 10cm 6cm 5cm RETRIEVE INSTRUCT PRACTISE SECURE
Volume of Prisms Calculate the volume of the following prisms RETRIEVE INSTRUCT PRACTISE SECURE
Check your work RETRIEVE INSTRUCT PRACTISE SECURE
Problem 1 20 cm 16 cm 12 cm 20 cm a b volume = 960 cm3 what is b? volume = 1200 cm3 what is a? RETRIEVE INSTRUCT PRACTISE SECURE
Problem 2 The triangular cross section of a prism is an isosceles right-angled triangle. The volume of the prism is 102 ??2 Use estimation to approximate the value of ? RETRIEVE INSTRUCT PRACTISE SECURE
