Solid geometry Image

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Solid geometry

In this unit, students practise spatial visualisation in three-dimensions, study the effect of dilation on area and volume, derive volume formulas using dissection arguments and Cavalieri’s principle, and apply volume formulas to solve problems involving surface area to volume ratios, density, cube roots and square roots.

Additional details

Year level(s) Year 10
Audience Teacher
Purpose Teaching resource, Student task
Format Web page
Teaching strategies and pedagogical approaches Explicit teaching
Keywords Geometry, Cylinder, Cone, Prism, Surface area, Volume

Curriculum alignment

Curriculum connections Critical and creative thinking
Strand and focus Measurement
Topics Area, volume and surface area
AC: Mathematics (V9.0) content descriptions
Solve problems involving the surface area and volume of composite objects using appropriate units

Numeracy progression Understanding geometric properties (P7)

Copyright details


Illustrative Mathematics


© Open Up Resources/Illustrative Mathematics. Creative Commons BY 4.0.