Packing chocolates

Purpose

The purpose of this multiple-level activity is to engage students in applying their knowledge of three dimensional solids to solve a package and packing problem.

Description of Mathematics

This background knowledge and skills that need to be established before and/or during this task are outlined in the diagram below:

This task may be 'scaffolded' with guidance that leads to a solution, and/or the students might be given the opportunity to solve the problem independently. The approach should be chosen in sympathy with their skills and depth of understanding.

Activity


Task: A chocolate manufacture produces bars shaped in a triangular prism of length 12 cm. The cross section of the bars is an equilateral triangle of side length 4 cm.

  1. Design a net for the packaging of the individual bars.
  2. The packaged bars are to be put into boxes that are 40 x 40 x 40 cm3. Find the maximum number of bars that can be packed into each box.
     

The procedural approach (show more)

  • The student is able to produce a net that meets the specifications given. The student can follow instructions to solve a packing problem involving volumes that need to be calculated.

The conceptual approach (show more)

  • The student is able to produce a net that meets the specifications given. The student can solve a packing problem involving volumes that need to be calculated.

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