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Investigate the mathematical relationships between the face areas and volume of rectangular prisms, including drawing nets, calculating areas and volumes, and analyzing how volume changes with dimensi

Mathematics

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This document outlines an assessment task for your Geometry (EDMA201) course, worth 30 marks. The main goal is to demonstrate your understanding of rectangular prisms by exploring the mathematical relationships between their face areas and volume.

Here's a breakdown of what you need to do:

  1. Draw a net for a rectangular prism and label its sides accurately.
  2. Calculate the area of each surface of the prism and its volume.
  3. Conduct an investigation to see how the volume changes when you adjust the dimensions of the net.
  4. Present your results in a table and write a paragraph explaining any relationships you discover.

Your marks will be awarded based on:

  • The accuracy of your rectangular prism drawing.
  • Your ability to work systematically.
  • The depth and extent of your investigation.
  • The accuracy of your calculations for areas and volumes.
  • Your ability to identify and explain the relationship between the areas of different faces and the volume.

This task is due on Friday, May 15th, 2026 (Week 11).

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