Volume Formulas for Prisms
Volume formulas for prisms through diagrams and calculations. Learn about different types of prisms and how to calculate their volumes based on cross-section areas and lengths. Dive into the concept of prisms' identical ends, flat faces, and cross-sectional properties.
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Presentation Transcript
It is expected that we know these formulae. Which ones can you recall?
A prism is. A prism is not . A prism is a solid object with: identical ends, flat faces, and the same cross section all along its length. Discuss: Why are these not prisms?
The Volume of a Prism Volume of a prism = area of cross-section x length* *length = distance between two ends Cuboid Pentagonal prism Triangular prism
Volume of a prism = area of cross-section x length* *length = distance between two ends Cross section is a Triangle. Area of a Triangle = 10cm 6cm Volume = 5cm
Mini Whiteboards Ready.. ???? ?? ????? ??????? = 12 ??2 ?????? = 96 ??3 Volume of a prism = area of cross-section x length* *length = distance between two ends
Mini Whiteboards Ready.. ???? ?? ????? ??????? = 6 ??2 ?????? = 54 ??3 Volume of a prism = area of cross-section x length* *length = distance between two ends
Mini Whiteboards Ready.. ???? ?? ????? ??????? = 8 ??2 ?????? = 24 ??3 Volume of a prism = area of cross-section x length* *length = distance between two ends
Mini Whiteboards Ready.. ???? ?? ????? ??????? = 32 ??2 ?????? = 160 ??3 Volume of a prism = area of cross-section x length* *length = distance between two ends
Mini Whiteboards Ready.. ???? ?? ????? ??????? = 9? ??2 ?????? = 72? ??3 Volume of a prism = area of cross-section x length* *length = distance between two ends
Title: Volume of Prisms & Cylinders Volume of a prism = area of cross-section x length* *length = distance between two ends Volume of a cylinder = ??2x length* *length = distance between two ends It is expected that we have memorised these formulae.
Work out the volume of these prisms & cylinders. The answers should be rounded to the nearest integer that can be found at the bottom of the sheet.
Challenge Find the value of ? such that the surface area of this prism is the same as the volume of this prism.
