Surface Area and Volume · Measurement

Prisms and Pyramids

Visualizing 3D shapes through nets and calculating total surface area.

Key Questions

  1. 1How does a 2D net help us understand the 3D structure of a prism?
  2. 2Why might a manufacturer want to minimize the surface area of a package while keeping the volume the same?
  3. 3What is the fundamental difference between calculating lateral area and total surface area?

Ontario Curriculum Expectations

ON: Spatial Sense - Grade 7
Grade: Grade 7
Subject: Mathematics
Unit: Surface Area and Volume
Period: Measurement

Suggested Methodologies

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Volume of Right Prisms

Developing the formula for volume by understanding layers of area.

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Describing the 2D cross sections that result from slicing three dimensional solids.

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