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Prisms and pyramids

This test develops geometric reasoning and calculations with prisms and pyramids. Students find volume, lateral and total surface area, altitude and edges and analyse diagonal cross-sections.

Questions: 10Estimated time: 22 minutes
Prisms and pyramids
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Sample questions

  1. A right prism has base area ___ cm² and height ___ cm. Find its volume.
  2. A rectangular prism measures ___ cm, ___ cm and ___ cm. Find total surface area.
  3. A right prism has rectangular base sides ___ cm and ___ cm and height ___ cm. Find its diagonal-section area.
  4. A pyramid has base area ___ cm² and height ___ cm. Find its volume.
  5. The base edge of a regular square pyramid is ___ cm long, and the height of the pyramid is ___ cm. Calculate the length of the slant height (apothem).