Prism Polyhedron Sum of all BA(H) lateral faces Sum of all bases/faces (For a right prism, it is (Pbasex Heightprism) Pyramid Polyhedron 1/3 (BH) 1/2 (PS) BA + (LA) (perimeter of base (base area + lateral area) x slant height) /2 Cylinder Non-Polyhedron 2 2 πR2(h) + πR(h) πR(h) 2(πR2) Non-Polyhedron 1/3 Cone πSR πR2+LA πR2 (h) Sphere Non-Polyhedron 4/3 ( n/a 4 πR3) πR2 any polyhedron) Euler’s Law: (for (Faces+vertices)-edges=2 Regular polyhedra (platonic solids) A regular polyhedron is a polyhedron whose faces are congruent, regular polygons, and that has the same number of faces intersecting at each vertex. Trig ratios SOH-CAH-TOA Area of regular polygons ASN (apothem x side length x number of sides) 2 Coordinate Geometry FORMULAS FOR LINE SEGMENTS Midpoint= M= _____________________________________________________________________________________ Distance=
Prism Polyhedron BA(H) Sum of all lateral faces (For a right prism, it is (Pbasex Heightprism) Sum of all bases/faces Pyramid Polyhedron 1/3 (BH) 1/2 (PS) (perimeter of base x slant height) /2 BA + (LA) (base area + lateral area) Cylinder Non-Polyhedron πR2(h) 2 πR(h) 2 πR(h) + 2(πR2) Cone Non-Polyhedron 1/3 πR2 (h) πSR πR2+LA Sphere Non-Polyhedron 4/3 ( πR3) n/a 4 πR2 Euler’s Law: (for any polyhedron) (Faces+vertices)-edges=2 Regular polyhedra (platonic solids) A regular polyhedron is a polyhedron whose faces are congruent, regular polygons, and that has the same number of faces intersecting at each vertex. Trig ratios SOH-CAH-TOA Area of regular polygons ASN (apothem x side length x number of sides) 2 Coordinate Geometry FORMULAS FOR LINE SEGMENTS Midpoint= M= _____________________________________________________________________________________ Distance=
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