Back to revision notes Open full-size SVG Print mind map M31 Solids, surface area and volume mind map Use your browser’s Print command for A4 landscape, or choose A3 in its paper settings. The SVG remains sharp when enlarged. A text version follows the map.
Read the mind map as text Solids / views Features: Faces, edges, vertices; prism constant cross-sectionViews / units: Plan top; elevations side/front; volume cubic, area squareVolumes Prism / cylinder: Cross-section × perpendicular length; cylinder πr²hPyramid / cone: Base area ×h/3; cone πr²h/3; use perpendicular hSphere: 4πr³/3; hemisphere half volumeSurface area Net / cylinder: All external faces; closed cylinder 2πr²+2πrhCone: πrl curved; add πr² base; l²=h²+r²Sphere / hemisphere: 4πr²; hemisphere curved 2πr², total 3πr²Composite Compare units: Cylinder r=2,h=5: V=20π cm³; SA=28π cm²Joins: Add/subtract volumes; omit hidden joined surfacesConnections Solids / views → Volumes: Dimensions and views determine solid formula inputs Surface area → Composite: Joined faces do not contribute external area 