Prisms, parallelepipeds and pyramids: properties, sections, frustum
Find a box diagonal, the volume of an oblique prism, the lateral area of a regular pyramid, the volume of a frustum, and a section of a pyramid.
- Germany: grade 10
- Ukraine: grade 11
- Russia: grade 10
Guide
This follows Ukrainian Grade 11 geometry §16–18 and §22. Notation: Sб lateral area, Sосн base area, Sп total area, H height.
Lengths are in cm. In an oblique prism the height is not the lateral edge.
Common slips: taking the edge for the height, adding dimensions instead of Pythagoras, forgetting ⅓.