Question

The cubit is an ancient unit of length based on the distance between the elbow and the tip of the middle finger of the measurer. Assume that the distance ranged from 43 to 53 cm, and suppose that ancient drawings indicate that a cylindrical pillar was to have a length of 6.0 cubits and a diameter of 3.0 cubits. For the stated range, what are the lower values for (a) the cylinder's length in meters, (b) the cylinder's length in millimeters, and (c) the cylinder's volume in cubic meters? What are the upper values for (d) the cylinder's length in meters, (e) the cylinder's length in millimeters, and (f) the cylinder's volume in cubic meters? (a) Number (b) Number (c) Number (d) Number (e) Number (f) Number Units Units Units Units Units Units

Answer 1

A cubit ranges from 43 - 53 cm. Taking lower values 43 cm. a) l = 6 units = 6 times 0.43 = 2.58 m b) l = 2.58 m = 2.58 times 1-^negative 3 mm = 2580 mm c) pi d^2 l/4 d = 3 cubits = 3 times 0.43 = 1.29 m V = 3.14 times 1.29^2 times 2.59/4 = 2.27 m^3 For upper values take 53 cm d) l = 6 cubits = 6 times 0.53 = 3.18 m e) l = 3.18 m = 3.18 times 10^3 mm = 3180 mm f) V = pi d^2 l/4 d = 3 cubits = 3 times 0.53 = 1.59 m = 3.14 times 1.59^2 times 3.18 - 6.31 m^3