Recursive Formulas Used with permission from Dave's Math Tables Formula Derivations - (High School +) Derivations of area, perimeter, volume and more for 2 and 3 dimensional figures. This can also be seen in the formula, as if we keep and 𝐻 constant but increase , since the denominator is getting larger the value for decreases. Note that females have a lower tolerance than males, so if a male and a female who have the same body mass V = bh b is the area of the base Surface Area: Add the area of the base to the sum of the areas of all of the triangular faces. The areas of the triangular faces will have different formulas for different shaped bases. Cones Volume = 1/3 area of the base x height V= r2h Surface S = r2 + rs = r2 + r√ Sphere Volume V = r3 Surface Young’s formula, shown below, is used to calculate the dosage of medication for children aged 1−12 years based on the adult dosage. yA D = y + 12 where . D = dosage for children aged 1−12 years . y = age of child (in years) A = adult dosage A child’s dosage is calculated to be 20 mg, based on an adult dosage of 40 mg.