Polygon & Solids Reference Sheet Triangle Rectangle Trapezoid Pentagon Circle b h π΄πππ = πβ 2 π΄πππ = πβ (π1 +π2 )β 2 π΄πππ = πβ π΄πππ = ππ 2 π΄πππ = ( 2 ) β #β ππππ’ππ = π΅ππ π β βπππβπ‘ Base (Area of bottom or top piece of prism) times height (how tall the prism stands) Triangular Rectangular Prism Trapezoidal Prism Pentagonal Prism Prism Cylinder h h h h π = π΅β π£= (πβ ( 2 )β π = π΅β β Triangular Pyramid π£ = (πβ) β β Rectangular Pyramid π£= ( π = π΅β π£= π΅β π= 3 (πβ )ββ 2 π£= 3 β Trapezoidal Pyramid π£= π΅β 3 (πβ)ββ 3 4(ππ 3 ) 3 π= #β] β β Pentagonal Pyramid π£ = (ππ 2 ) β β Cone h h π΅β π£= π = π΅β πβ [( 2 ) β h Sphere π£= π = π΅β (π +π )β ( 1 22 )β h h π= h π= 3 (π +π )β ( 1 2 )ββ 2 3 π£= π΅β π= 3 [( πβ )β#β]ββ 2 3 π£= π΅β 3 (ππ 2 )ββ 3 Pythagorean Theorem: used when given 2 sides and looking for a 3rd side Trig Functions Use regular trig functions when looking for the _____________ measurement of a right triangle. πΊππ(π½) π ππππππππ = ππππππππππ πͺππ(π½) π ππ ππππππ = ππππππππππ π»ππ (π½) π ππππππππ = ππ ππππππ Use inverse trig functions when looking for an ________________ measurement of a right triangle. ππππππππ π½ = πΊππ−π (ππππππππππ) ππ ππππππ π½ = πͺππ−π (ππππππππππ) ππππππππ π½ = π»ππ−π (ππ ππππππ)